Pick up where you left off.

• Count rates and price mistakes — not completed; practice outstanding
• Describe variation without inventing evidence — not completed; practice outstanding
• Trace vectors through a matrix — not completed; practice outstanding
• Project a cloud and inspect what is lost — not completed; practice outstanding
• Update a belief from counts — not completed; practice outstanding
• Separate likelihood from a prior — not completed; practice outstanding
• Follow a gradient through a computation — not completed; practice outstanding
• Compute probabilities without overflow — not completed; practice outstanding
• Sample a signal without hiding aliasing — not completed; practice outstanding
• Relate a latent approximation to its evidence — not completed; practice outstanding
• Turn an angle into local motion — not completed; practice outstanding
• Connect dynamics estimates and constraints — not completed; practice outstanding
• Compare paired experiments and interactions — not completed; practice outstanding
• Notice the winner selected by chance — not completed; practice outstanding
• Separate a comparison from a causal claim — not completed; practice outstanding
• Average future rewards with explicit assumptions — not completed; practice outstanding
• Read a density as probability per unit — not completed; practice outstanding

• Scale a fraction without losing the whole — not completed; practice outstanding; 0 saved trials
• Convert units before buying materials — not completed; practice outstanding; 0 saved trials
• Keep scale and precision separate — not completed; practice outstanding; 0 saved trials
• Balance an equation, bound a decision — not completed; practice outstanding; 0 saved trials
• Satisfy two rules at once — not completed; practice outstanding; 0 saved trials
• Read a quadratic from its shape — not completed; practice outstanding; 0 saved trials
• Find the exponent that reaches a target — not completed; practice outstanding; 0 saved trials
• Count teams and ordered roles — not completed; practice outstanding; 0 saved trials
• Check whether conditioning changes a probability — not completed; practice outstanding; 0 saved trials
• Average outcomes before they happen — not completed; practice outstanding; 0 saved trials
• Describe the shape beyond one average — not completed; practice outstanding; 0 saved trials
• Ask how surprising the result is under a model — not completed; practice outstanding; 0 saved trials
• Fit a line and inspect what it misses — not completed; practice outstanding; 0 saved trials
• Scaling length does not scale everything equally — not completed; practice outstanding; 0 saved trials
• A route, a distance and a slope are different — not completed; practice outstanding; 0 saved trials
• Turn an angle into two coordinates — not completed; practice outstanding; 0 saved trials
• Nearby behavior is not the value at the point — not completed; practice outstanding; 0 saved trials
• Shrink an interval without dividing by zero — not completed; practice outstanding; 0 saved trials
• Accumulation can cancel without erasing motion — not completed; practice outstanding; 0 saved trials
• Change one input while holding another fixed — not completed; practice outstanding; 0 saved trials
• A changing radius creates a changing area — not completed; practice outstanding; 0 saved trials
• Trap a root before approximating it — not completed; practice outstanding; 0 saved trials
• Approximate accumulation without hiding its error — not completed; practice outstanding; 0 saved trials
• A repeated rule can settle, alternate or grow — not completed; practice outstanding; 0 saved trials
• A decaying equation can have a growing approximation — not completed; practice outstanding; 0 saved trials
• Build a point from directions — not completed; practice outstanding; 0 saved trials
• When do equations identify one point? — not completed; practice outstanding; 0 saved trials
• Fit a line when equations disagree — not completed; practice outstanding; 0 saved trials
• Find a direction a matrix preserves — not completed; practice outstanding; 0 saved trials
• Turn statements into sets and truth values — not completed; practice outstanding; 0 saved trials
• Count only after naming the outcomes — not completed; practice outstanding; 0 saved trials
• Refute a claim—or justify every case — not completed; practice outstanding; 0 saved trials
• Prove a recurrence pattern — not completed; practice outstanding; 0 saved trials
• Explore a graph without getting trapped — not completed; practice outstanding; 0 saved trials
• Count how work grows — not completed; practice outstanding; 0 saved trials
• Optimize within a feasible polygon — not completed; practice outstanding; 0 saved trials
• Descend without leaving the allowed region — not completed; practice outstanding; 0 saved trials
• Price one more unit of capacity — not completed; practice outstanding; 0 saved trials
• Choose between cost and quality — not completed; practice outstanding; 0 saved trials

• Quantitative reasoning and numerical sense · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.
• Algebra, functions and mathematical modeling · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.
• Geometry and trigonometry · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.
• Probability, uncertainty and expected outcomes · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.
• Statistics: from samples to qualified conclusions · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.
• Linear algebra: directions, systems and approximation · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.
• Calculus: local rates and accumulated change · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.
• Discrete mathematics: logic, proof and algorithms · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.
• Optimization: feasible choices and competing goals · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.
• Numerical methods and dynamical systems · Project: draft or not started; 0 evidence snapshots; 0/4 first responses match. Human review remains separate.

• Construct real rotation planes for a skew-adjoint map — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Complex structures and compatible metrics — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Build a finite Fourier basis from roots of unity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Circular convolution, modes and wraparound — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive a radix-two FFT and count its work — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Certify positive energy with Schur complements — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Cholesky factors, solves and energy certificates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Construct LU and know when it exists — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Pivoted factors and repeated solves — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Construct the determinant from permutations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove determinant products and their limits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Cofactors, adjugates and exact systems — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Eliminate over finite fields and count solution fibers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count bases, subspaces and invertible matrices — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Eigenvalues change with the field — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Read all four spaces of a network incidence matrix — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Conservation certificates and potentials — not marked complete; 0/8 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/4 responses recorded. Written reasoning needs review.

• Sequence norms and inclusions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Complete sequence spaces and approximate by finite support — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Rational Cauchy classes and arithmetic — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Order the completion and locate its rational points — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove completeness of the constructed field — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Picard’s operator and invariant function balls — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Picard iterates and error certificates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• State exactly where uniqueness and continuation hold — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Weighted sums and refinement — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Jumps, tags and endpoint conventions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove existence while keeping the definitions separate — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reduce smooth weights and prove integration by parts — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Equicontinuity and common control — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Extract a uniform limit from a family of functions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Close the family before claiming attainment — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Monotone limits and countable jumps — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Point oscillation and small interval covers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove the discontinuity criterion for Riemann integration — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Dense exceptions and integral values — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Tail extrema and subsequential limits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Test series using upper limits of roots — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Equality events and joint information — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove what adaptive stopping can and cannot change — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Condition on the observation protocol, not just its words — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Analyze restarted experiments and their actual work — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare expected work in pooled factory inspection — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Build arrivals from independent waiting times — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove what can be separated into independent counts — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove a route ends before trusting its equations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Audit a simulation without hiding its unfinished paths — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/4 responses recorded. Written reasoning needs review.

• Certify stability when preference comparisons are incomplete — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct and count independent stable-matching choices — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Deferred acceptance when the two sides have different sizes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Build a shadow graph and check its coloring — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Force an extra color without creating a triangle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Binary gcd: preserve the value and prove termination — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Track integer Bézout coefficients through binary gcd — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Which relation properties survive an operation? — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove short reachability from an extremal vertex — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Canonical digits and injections from a square — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a bijection from two injections — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Absorb countable additions with an explicit shift — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Partial functions: keep the domain in the proof — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover accumulated rewards from endpoint potentials — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn a modular obstruction into a reachability theorem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count distinct labels by checking constructor assumptions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/4 responses recorded. Written reasoning needs review.

• Specify membership and construct language expressions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove a limit of a language-expression grammar — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Turn a directed graph into a probability model — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate stationary balance from convergence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Certify convergence and ranking under direct restart — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Prove finite sampling guarantees with pairwise independence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Collision products and birthday bounds — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Collect coupons by decomposing waiting stages — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Compare growth and distinguish absolute from relative error — not marked complete; 0/10 tasks have recorded responses. Written work needs review.
• Bound harmonic sums and explain logarithmic growth — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Estimate products without losing the error — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/5 responses recorded. Written reasoning needs review.

• Distinguish strict and non-strict partial orders — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Represent orders with lower sets and cover diagrams — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count directed walks with matrix powers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Verify graph isomorphisms and refute incomplete invariants — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/5 responses recorded. Written reasoning needs review.

• Identify blocking pairs and model assumptions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Trace deferred acceptance and prove stability — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove proposer-optimality and interpret its limits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Boolean specifications and certificates — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Construct formulas from complete truth tables — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove a circuit correct and separate work from depth — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/4 responses recorded. Written reasoning needs review.

• Weighted precedence and scheduling — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Count dependent events and prove a tail bound — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Finite descriptions and encodings — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct a missing sequence and check its domain — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Halting decisions and effective reductions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• State models and invariant discovery — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Prove progress with lexicographic descent and an exact work count — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Rounded recurrences and the operations they count — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/4 responses recorded. Written reasoning needs review.

• Constructors and tree invariants — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Define recursive functions and strengthen the claim that proves them — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Generated words, balance and unique parsing — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/4 responses recorded. Written reasoning needs review.

• Parametric components and average motion — not marked complete; 0/9 tasks have recorded responses. Written work needs review.
• Matrix actions and reconstruction — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Forecast state proportions and test a past-state reconstruction — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Construct complete signed-radius curves — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate signed radius, distance and estimates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Recover sinusoidal shape and changing rates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fit competing periods and test new predictions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct tangent and cotangent branches — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct secant and cosecant graphs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/4 responses recorded. Written reasoning needs review.

• Read semilog scales and test exponential evidence — not marked complete; 0/8 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Identify a shifted exponential from evidence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct and validate logarithmic responses — not marked complete; 0/7 tasks have recorded responses. Written work needs review.
• Transform inverses without losing domains — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Build polynomials from meaningful constraints — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fit, predict and challenge polynomial models — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Compare local change at two inputs — not marked complete; 0/7 tasks have recorded responses. Written work needs review.
• Derive and use quadratic rate patterns — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Read finite differences without overclaiming a model — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Empirical CDFs and QQ evidence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Specified continuous-null calibration — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fitted nulls and parametric bootstrap — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Categorical fit and model revision — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Center data and construct principal-component scores — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reconstruct observations and account for lost variation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose scales and diagnose unidentified directions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Fit coefficients and audit residuals — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose the uncertainty target — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Diagnose, freeze and evaluate a revision — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Response families and link scales — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Score, information and IRLS — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Bounded fitting and finite existence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• GLM uncertainty and model checks — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/4 responses recorded. Written reasoning needs review.

• Complete one- and two-proportion analyses — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Complete one-mean, paired and Welch analyses — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Calculate categorical evidence and identify its study design — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/3 responses recorded. Written reasoning needs review.

• Translate a counting event into a calculator query — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Calculate normal regions and verify inverse cutoffs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/2 responses recorded. Written reasoning needs review.

• Decide what a study must answer before collecting data — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Execute a systematic sample and a two-factor experiment — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read categorical displays with their denominators — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reconstruct keyed stems and define percentile rank — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Predict differences between sample proportions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Predict differences between sample means — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/6 responses recorded. Written reasoning needs review.

• Complete the square before integrating — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build section areas and split changing boundaries — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover planar position from velocity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find polar tangents through Cartesian derivatives — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Split an overlap by its radial boundary — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct Taylor models from derivative evidence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Read limits and derivatives from supplied graphs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Calculate and estimate derivatives from tables — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover accumulation from a signed graph — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Estimate totals from unequal-time measurements — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/6 responses recorded. Written reasoning needs review.

• Construct three views of one dataset — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare shapes before choosing summaries — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Check a normal model against raw observations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Calculate and interpret Pearson correlation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare fitted models and plotted residuals — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Develop a margin from repeated samples — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Simulate treatment reassignment under a null — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count ordered and unordered selections — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Map outcomes to a probability distribution — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a forecast from observed frequencies — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare uncertain strategies and consequences — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Design and audit a fair random allocation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/12 responses recorded. Written reasoning needs review.

• Copy lengths and angles with a proof — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct perpendicular and parallel lines — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Inscribe a square, hexagon and equilateral triangle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct the circumcircle and incircle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read the correct arcs in circle angle proofs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct both tangents from an external point — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove circle similarity and recover a circle equation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive arc scaling and sector area — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive triangle laws and measure inaccessible distances — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove and use coordinate line criteria — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Divide a directed segment in a chosen ratio — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Measure coordinate polygons with justified lengths — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive the ellipse from its two foci — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive both branches of a hyperbola — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/12 responses recorded. Written reasoning needs review.

• Make geometric definitions testable — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Treat a motion as a function on the plane — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find the complete symmetry set — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct and verify a motion witness — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Define triangle congruence through a witness — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive the three triangle criteria — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove angle relations with parallel lines — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Track a dilation beyond the origin — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct a similarity and derive AA — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove midpoint and median structure — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Characterize parallelograms and rectangles — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use proportional cuts and altitude similarity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

• Read a solid through its sections — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Predict what a rotating region fills — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Explain circle formulas by polygon bounds — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare volumes through complete section rules — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive the one-third volume factor — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover sphere volume from a comparison solid — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose and test a model for a measured object — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Make density and design decisions from geometry — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Read a compound expression as a model — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Operate on polynomials and prove identities — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Keep domains through rational arithmetic — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Solve inequalities with an unknown coefficient — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose a quadratic method and derive the formula — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct rational models from rates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• An equation describes a set of points — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a feasible region from constraints — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read intersections as simultaneous solutions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Approximate intersections without inventing solutions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Encode and verify a matrix solution — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Why fractional powers mean roots — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Rewrite radicals without losing the domain — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Which number types survive arithmetic? — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Calculate with a real and an imaginary coordinate — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use conjugates to divide and measure — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Draw complex arithmetic and midpoints — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Why every quadratic has two complex roots — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn endpoints into a directed quantity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Add arrows and find the actual resultant — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Scale, reverse, and handle the zero vector — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Keep the labels when operating on matrices — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Which number laws survive for matrices? — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/7 responses recorded. Written reasoning needs review.

• Report what measurements support — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose quantities, units and honest axes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read rates from uneven tables and graph scales — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare functions across representations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct cube-root and absolute-value graphs — not marked complete; 0/7 tasks have recorded responses. Written work needs review.
• Graph ceiling steps and discrete decisions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Graph transformed exponentials and logarithms — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover transformations from supplied graphs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read inverses without a formula — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Test even and odd symmetry with domains — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Translate recursive and explicit sequences — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fit growth models and change time units — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find delayed exponential crossovers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Solve target times and justify rounding — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct polynomial and rational graphs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Combine meaningful functions into a quadratic decision — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Prove symmetry by moving a unit-circle point — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build addition formulas from rotated coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Justify a principal inverse before using it — not marked complete; 0/7 tasks have recorded responses. Written work needs review.
• Find every threshold time in a stated interval — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/6 responses recorded. Written reasoning needs review.

• Read and evaluate an expression — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Explain why expressions are equivalent — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Solve equations with reversible steps — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Solve and interpret inequalities — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Rearrange formulas with conditions — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Solve distance conditions with absolute value — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Solve rational equations without restoring excluded inputs — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Check roots introduced by squaring — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Factor structure and use zero products — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Classify and solve quadratic equations — not marked complete; 0/5 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Read domains and ranges across representations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Transform inputs and outputs in the right order — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose the correct branch at a boundary — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Connect functions through intermediate values — not marked complete; 0/9 tasks have recorded responses. Written work needs review.
• Reverse a function on a suitable domain — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find intersections and classify systems — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Divide polynomials and interpret the remainder — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read roots, multiplicity and end behavior — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate holes, poles and end behavior — not marked complete; 0/7 tasks have recorded responses. Written work needs review.
• Use exponent laws without losing the base conditions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Solve logarithmic equations on their real domains — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Distinguish repeated addition from repeated multiplication — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Separate a drawing from a geometric argument — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Track angles through a transversal — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Match triangles with sufficient evidence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Locate triangle centers and test possible sides — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Move a figure without changing its shape — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Scale lengths, areas and arguments — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Connect right angles with squared lengths — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose ratios relative to an angle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Decompose a region without counting it twice — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read the arc before using the angle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose coordinates that expose the geometry — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct a point and justify why it works — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Measure rotation and derive exact values — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build sine and cosine graphs from rotation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Track tangent and reciprocal-function domains — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose a principal inverse branch — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove identities on their shared domains — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive and use addition and double-angle formulas — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find complete interval and general solutions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fit a periodic model and test its assumptions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use the sine law without losing a triangle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Solve triangles from sides or an included angle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Measure vector alignment and projection — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Represent a point with radius and angle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Trace polar curves instead of treating radius as height — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Multiply complex numbers by scaling and rotating — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate a path from the way it is traveled — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read conics from equations and geometric definitions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

• A claim needs a domain — not marked complete; 0/4 tasks have recorded responses. Written work needs review.
• Who chooses first? — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Negate the whole claim — not marked complete; 0/4 tasks have recorded responses. Written work needs review.
• Unpack definitions to build a proof — not marked complete; 0/4 tasks have recorded responses. Written work needs review.
• Reverse and negate with care — not marked complete; 0/4 tasks have recorded responses. Written work needs review.
• Contradict the exact assumption — not marked complete; 0/4 tasks have recorded responses. Written work needs review.
• Cover every case and both directions — not marked complete; 0/4 tasks have recorded responses. Written work needs review.
• Prove two sets contain the same objects — not marked complete; 0/4 tasks have recorded responses. Written work needs review.
• Follow membership through a function — not marked complete; 0/4 tasks have recorded responses. Written work needs review.
• Which properties survive composition? — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Make the next case depend on proved cases — not marked complete; 0/4 tasks have recorded responses. Written work needs review.
• Group objects by a proved equivalence — not marked complete; 0/4 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

Sustained investigation: 0/6 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• Solve systems without changing their solutions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Distinguish no solution, one solution and a family — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Multiply matrices in the order the maps act — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Undo a square linear system when possible — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a space using linear combinations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Detect redundancy using the zero combination — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose enough directions without redundancy — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Describe what a linear map loses and reaches — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Account for lost and retained dimensions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Change coordinates without changing the vector — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use determinants to detect collapse and track signed volume — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find directions preserved by a linear map — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compute in an eigenvector basis when one exists — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Split a vector into parallel and perpendicular parts — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Remove old directions before adding a new one — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fit an inconsistent system without hiding the error — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

Sustained investigation: 0/6 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• Domains, composition and radian measure — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• What a limit says—and what samples cannot prove — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Limit laws and legitimate algebra — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Bounding a function you cannot simplify — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Continuity and guaranteed crossings — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Large inputs and unbounded outputs — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• From secant rates to a derivative — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• When a tangent slope does not exist — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• Differentiate powers and combinations — not marked complete; 0/5 tasks have recorded responses. Written work needs review.
• A tangent line as a local prediction — not marked complete; 0/5 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Trigonometric derivatives need radian measure — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Exponential and logarithmic rates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Products and quotients change in two ways — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Follow a change through nested functions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Differentiate a relationship without solving it — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Rates for inverse functions and inverse trigonometry — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Position, velocity, acceleration and higher rates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Relate simultaneous rates before substituting — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Rolle and the mean value theorem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read increase and curvature from derivative signs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare all candidates before choosing a design — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Indeterminate forms and justified derivative ratios — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Build accumulation from small contributions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Signed area and integral bookkeeping — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Differentiate an accumulated quantity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover a function and evaluate a definite integral — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reverse a chain rule without losing the bounds — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find a region before integrating its height — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Accumulate signed velocity and total travel — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build volume from cross-sectional area — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count thin cylindrical layers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Replace a varying function by an equal-total constant — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reverse the product rule strategically — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Split a rational function into integrable pieces — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use identities to expose an inner derivative — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose a branch before simplifying a radical — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Define each infinite or singular contribution by a limit — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Estimate an integral and justify an error bound — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

• Follow terms toward a limit — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• An infinite sum is a limit of finite sums — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Expose cancellation before taking a limit — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn a positive tail into an integral comparison — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare the tail to a known benchmark — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Cancellation, absolute convergence and error — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Measure geometric decay in a complicated term — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find the radius, then test each endpoint — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Match derivatives with a polynomial — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn an approximation into a justified guarantee — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Differentiate, integrate and approximate inside the radius — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Differentiate a curve through its parameter — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Accumulate speed along a path — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Measure a region by small sectors — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compute length when radius and direction both change — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Length uses slope, not vertical change alone — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Rotate a curve and measure its skin — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a physical integral from local force — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/11 responses recorded. Written reasoning needs review.

• Ask a question that expects variation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose who can enter the sample — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use design to support a causal claim — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Change the denominator deliberately — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose a display that preserves the question — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Summarize variation without hiding extremes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Locate a value within a model — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Describe a relationship before fitting it — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fit a line and inspect its failures — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Change units without changing the question accidentally — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a coherent probability model — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Restrict the reference set before multiplying — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Update a probability without losing the base rate — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Average outcomes with probability weights — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Check trials before counting successes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Distinguish the data from the statistic — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate concentration from normal approximation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Decide what the evidence can support next — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

• Compare sizes by pairing objects — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count outcomes without overlaps or omissions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Decide what makes outcomes different — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read coefficients as choices — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Correct multiple counting systematically — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Force a collision without finding it — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Turn a recursive definition into a proved formula — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Package a sequence as coefficients — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count incidences instead of guessing edges — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recognize minimal connected structure — not marked complete; 0/10 tasks have recorded responses. Written work needs review.
• Separate using every edge from visiting every vertex — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use colors to detect structural obstructions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Order dependencies without inventing an order for cycles — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove what a loop preserves and why it stops — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate a growth bound from a timing claim — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compute a gcd while preserving its meaning — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Calculate with residue classes without invalid cancellation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Combine congruences and certify integer solutions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/14 responses recorded. Written reasoning needs review.

• Interpret an interval as a procedure — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Estimate a population proportion — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Plan precision before collecting data — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Specify a test before seeing its answer — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Test a proposed success probability — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Plan the consequences of a decision — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate detectable differences from useful changes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Estimate a difference without pooling it away — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Pool only under the equality null — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare a joint table with independence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare categorical distributions across populations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Estimate a mean when population spread is unknown — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Test a mean using estimated standard error — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Analyze differences before applying t — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare independent means without assuming equal variances — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose the question before the formula — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a null distribution from the assignment mechanism — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Estimate sampling variability without inventing new information — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

• Vectors, cross products, lines and planes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Space curves, speed and curvature — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Domains, level sets and multivariable limits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Partial derivatives and total differentiability — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Chain rule, gradients and directional derivatives — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Critical points, Hessians and boundary checks — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Constrained extrema and Lagrange multipliers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Double integrals, accumulation and density — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Describe regions and reverse integration order — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Polar coordinates and area factors — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Triple integrals in Cartesian, cylindrical and spherical coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Jacobians and general changes of variables — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Scalar line integrals and wire mass — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Vector line integrals, work and circulation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Potential functions, curl and domain holes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Green's theorem and oriented planar boundaries — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Parametric surfaces and scalar surface integrals — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Normals, flux and orientation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Stokes' theorem and compatible boundary direction — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The divergence theorem and closed-boundary flux — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

Sustained investigation: 0/7 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• A differential equation constrains a changing function — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read local directions before solving — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Know what an initial condition guarantees — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate variables without deleting equilibria — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use proportional rates with a reference state — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Add a limiting capacity and analyze stability — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn a first-order equation into a product derivative — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Model amount before modeling concentration — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate numerical instability from unstable physics — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a basis of homogeneous solutions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover independent solutions when roots repeat or leave the real line — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose a particular solution that does not duplicate the homogeneous basis — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Let the homogeneous coefficients become functions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Interpret roots through energy and response — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use eigenvectors to organize coupled rates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify linear motion beyond two distinct real modes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Transform an initial-value problem into algebra — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Represent inputs that switch or strike — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Accumulate the effect of past inputs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use local linearization without claiming a global portrait — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Gain, phase and practical resonance — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Transfer functions, startup and periodic input — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read corners and jumps as generalized derivatives — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Normalize a fundamental matrix and change coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify a whole parameter family, including its boundaries — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/12 responses recorded. Written reasoning needs review.

• Probability axioms and limits of events — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Conditional laws and joint independence — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Partition evidence before reversing a conditional — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read a distribution through its CDF — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Bernoulli, binomial and geometric mechanisms — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Wait for a success target: negative-binomial laws and censoring — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Multinomial counts: derive allocation and diagnose dependence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Poisson laws and rare-event approximations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Normalize densities and integrate events — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Continuous families and their mechanisms — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compute expectations without deriving every transformed law — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Measure dispersion and recover moments from tails — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Transform a law while preserving every inverse branch — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Normalize a joint law over its actual support — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Condition on a coordinate using a density ratio — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate factorization from linear association — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Track covariance when adding uncertain quantities — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Average within groups, then average across groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Decompose uncertainty within and between groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Add independent variables and change multiple coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use transforms only on their valid domain — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Bound tails and state what convergence actually means — not marked complete; 0/8 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/14 responses recorded. Written reasoning needs review.

Sustained investigation: 0/7 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• Order, fields and completeness — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Suprema, infima and the Archimedean property — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Density and nested intervals — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Sequence limits and epsilon–N proofs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Limit laws and inequalities — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Monotone sequences and Bolzano–Weierstrass — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Cauchy sequences and completeness — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Series, absolute convergence and rearrangements — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Open sets, closed sets and limit points on R — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compactness and the Heine–Borel theorem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Function limits and continuity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Sequential criteria for limits and continuity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Uniform continuity and compact domains — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Extreme and intermediate values — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derivatives, Rolle and the mean value theorem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derivative intermediate values and Taylor control — not marked complete; 0/10 tasks have recorded responses. Written work needs review.
• Partitions, Darboux sums and integrals — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Integrability through oscillation control — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Integral properties and the fundamental theorem — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Improper integrals and limits of integration — not marked complete; 0/8 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/19 responses recorded. Written reasoning needs review.

Sustained investigation: 0/6 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• Identify the operation before checking the axioms — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Certify a subgroup efficiently — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Connect powers, divisibility and generators — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compute compositions in a declared order — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Make parity independent of a chosen factorization — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use relations without assuming rotations commute with reflections — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count groups by equal-sized pieces — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Make multiplication independent of representatives — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Track which structure a map preserves — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Replace a map by a quotient and an embedding — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Combine independent coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read a classification theorem without overextending it — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn abstract multiplication into motion of a set — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count symmetry inside the group itself — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Extract structure from divisibility of orbit sizes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Constrain prime-power subgroups and prove the counting mechanism — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Combine invariants, actions and presentations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build and audit a complete group-theoretic argument — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build solvable groups from abelian pieces — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find invariant complements by averaging — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare irreducible actions with intertwiners — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read decompositions from characters — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build the full S₃ character table and decompose a new action — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build groups from automorphism actions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Decide when an extension splits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify every group of order eight — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify finite plane symmetry groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find rotation axes and constrain finite spatial groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Lift spatial rotations to unit quaternions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reconstruct cyclic and dihedral rotation groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct the three polyhedral rotation groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reconstruct polyhedra from rotation orbits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Identify polyhedral rotations as permutation groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/19 responses recorded. Written reasoning needs review.

• Treat coordinates as descriptions of a space — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Split a space without losing its kernel — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Make indistinguishable vectors into one vector — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Describe spaces through linear measurements — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Read an operator through preserved subspaces — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Find spectral information that survives coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find the shortest polynomial relation an operator obeys — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn polynomial identities into operator calculations — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Separate an operator into its primary pieces — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build chains where eigenvectors are insufficient — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose a conjugation convention before measuring angles — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate a vector into measured and invisible parts — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Move an operator across an inner product — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Strengthen triangularization with orthonormal geometry — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read a self-adjoint operator through real energy values — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Connect positive energy with spectral square roots — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Preserve geometry and diagonalize compatible operators — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Find the input and output axes of any linear map — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Solve least squares while exposing lost directions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate sensitive problems from inaccurate algorithms — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/19 responses recorded. Written reasoning needs review.

• Pointwise and uniform convergence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Supremum norm and the uniform Cauchy criterion — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Uniform limits preserve continuity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Interchanging limits and Riemann integrals — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• When derivatives pass through a limit — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Function series and the Weierstrass M-test — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Power series and local uniform convergence — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Metric spaces and neighborhoods — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Metric sequences, closed sets and continuity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Complete metric spaces and completion boundaries — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Total boundedness and finite nets — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compactness, completeness and total boundedness — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Connectedness and paths — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Contraction mappings and fixed points — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Finite-dimensional norms and operator norms — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fréchet differentiation as a uniform linear approximation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The multivariable chain rule and local estimates — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Taylor expansion and quadratic remainders — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• The inverse function theorem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The implicit function theorem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/14 responses recorded. Written reasoning needs review.

• Distinguish additive and multiplicative structure — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose subsets compatible with multiplication — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Factor a ring map through its kernel — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read quotient structure from an ideal — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use division to control ideals and gcds — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove existence and uniqueness separately — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Control roots and quotient coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Move factorization between a UFD and its fraction field — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose a valid test and respect its limits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Split a quotient using comaximal ideals — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct division without losing equality — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Treat a larger field as a vector space — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Convert algebraic relations into a quotient field — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Multiply dimensions with a proved basis — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Translate geometric operations into quadratic extensions — not marked complete; 0/11 tasks have recorded responses. Written work needs review.
• Build a field from an irreducible polynomial — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use characteristic-p powers as automorphisms — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Adjoin all roots and prove uniqueness up to base-field isomorphism — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Detect repeated roots through derivatives — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count embeddings without assuming every root stays inside — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Reverse the relation between subgroups and intermediate fields — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Compute a correspondence and test its boundaries — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Replace many field generators with one — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Connect radical formulas to solvable Galois groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Replace field scalars with ring scalars — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Encode abelian groups with integer relation matrices — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reduce integer matrices without losing their lattice — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read group invariants and integer solutions from a certificate — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reduce polynomial presentations with degree descent — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Present an operator using tI−A — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify operators with companion blocks — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Track ideals through a quotient — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find where unique factorization fails — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove finite generation survives polynomial extension — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover coefficients from symmetric root data — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Certify repeated roots from coefficients — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use discriminants to constrain Galois groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Determine the full ring of quadratic integers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Calculate quadratic ideals as integer lattices — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct inverses and nontrivial ideal classes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove unique factorization of nonzero ideals — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove ideal norms multiply — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Bound and determine a quadratic class group — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read factor degrees as Frobenius orbits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Lift finite-field cycles to a Galois group — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Determine a quartic group from prime certificates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/26 responses recorded. Written reasoning needs review.

Sustained investigation: 0/6 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• Model rounded arithmetic before trusting a calculation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Measure how much the mathematical answer can change — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Ask which nearby problem a computation solves — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn a sign bracket into a certified root interval — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Make repeated substitution converge for a reason — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use tangent information without promising global success — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Combine fast proposals with a reliable bracket — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fit exact data with a unique polynomial — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build interpolation one node at a time — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate polynomial approximation from a poor node choice — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Join local cubics with global smoothness — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fit residuals without unnecessarily squaring conditioning — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Integrate local approximations with an error model — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Refine where evidence says the integral is difficult — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Control elimination while tracking its backward error — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Make an iteration matrix explain convergence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Extract spectral information from repeated actions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn an ODE slope into a controlled first-order step — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Combine slopes to cancel leading error terms — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Keep decaying modes from numerical growth — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn local defects into a global convergence statement — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a numerical result another person can audit — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Accepted steps, rejections and work — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Global error budgets and reference checks — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/12 responses recorded. Written reasoning needs review.

Sustained investigation: 0/6 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• Specify the experiment before estimating — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare parameter values for fixed data — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare estimators through expected loss — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Connect sample moments to population parameters — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Optimize the whole parameter space — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compress data without losing model information — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recognize a common likelihood architecture — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Improve an estimator by conditioning — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn unbiasedness into uniqueness — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Measure local likelihood sensitivity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive the regular large-sample approximation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Propagate asymptotic uncertainty through a transformation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive exact normal-model inference — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Optimize a test against a specified alternative — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build one test for a one-sided family — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare constrained and unconstrained fits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Invert tests into coverage statements — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose an action by posterior expected loss — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use geometry to derive sampling laws — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive regression inference from projections — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find the assumptions that drive a reported standard error — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Approximate a sampling law without forgetting its model — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

Sustained investigation: 0/7 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• Complex geometry and modulus — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Complex exponential and trigonometric functions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Logarithms and branch choices — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Holomorphic functions and the Cauchy–Riemann equations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Complex line integrals and estimates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Primitives and path independence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Goursat’s theorem and Cauchy’s theorem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Winding numbers and contour topology — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Cauchy’s integral formula and derivatives — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Cauchy estimates, Liouville and the fundamental theorem of algebra — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Maximum modulus and open mapping — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Power series and analyticity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Zeros, multiplicity and the identity theorem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Laurent series on annuli — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Removable singularities, poles and essential singularities — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Residues and contour integrals — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Real integrals and contour estimates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The argument principle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Rouché’s theorem and stable root counts — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Möbius transformations and generalized circles — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Conformal maps and local geometry — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Harmonic functions and harmonic conjugates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Poisson’s formula and boundary values — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Analytic continuation and monodromy — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Analytic elements: build a stable finite continuation chain — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compact homotopies: prove endpoint-germ independence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/11 responses recorded. Written reasoning needs review.

• Use the least positive integer as a proof tool — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover a gcd and the combination that produces it — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove that prime factors cannot hide inside a product — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Find every integer solution, not just one — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Calculate with classes while respecting cancellation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count every solution to a modular linear equation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Combine congruences without losing compatibility — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use permutation of units to control powers — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Find the true period of a unit — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove when one residue generates all units — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count divisors and units through prime powers — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Undo a divisor sum by controlled cancellation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Identify which classes are squares — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn square existence into a signed count — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove the sign that appears when primes are exchanged — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn residue tests into complete solution sets — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Lift a root one prime-power digit at a time — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn division into a continued fraction — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove why convergents are close and reduced — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build and classify solutions of Pell equations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify primitive right triangles — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Decide which integers are sums of two squares — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn a hypothetical solution into a smaller one — not marked complete; 0/10 tasks have recorded responses. Written work needs review.
• Explain a toy RSA round trip — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Distinguish primality proofs from probable-prime tests — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compute square roots with a shrinking order invariant — not marked complete; 0/7 tasks have recorded responses. Written work needs review.
• Connect polynomial factors with multiplicative orders — not marked complete; 0/9 tasks have recorded responses. Written work needs review.
• Turn unique factorization into a convergent Euler product — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove every positive integer is a sum of four squares — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Parametrize a conic from one rational point — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/16 responses recorded. Written reasoning needs review.

• Ask whether an optimum exists — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use feasible geometry to certify nearest points — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn tangent information into global bounds — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify stationary points without overclaiming — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Read a linear objective on a polyhedron — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Connect vertices with independent columns — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Move along an improving feasible edge — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find a starting basis and avoid false progress claims — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Certify infeasibility by a separating vector — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Bound a maximization problem from above — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn a zero gap into coordinatewise conditions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Track when a shadow price remains valid — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate oracle progress from practical running time — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Quantify progress under smoothness and curvature — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Accept step s using a verifiable decrease rule — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use curvature without confusing local and global guarantees — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive multipliers from tangent directions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate multiplier necessity from convex sufficiency — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Inspect curvature in feasible critical directions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct lower bounds before solving the primal — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Approach a boundary optimum from strict feasibility — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Optimize with positive-semidefinite matrix constraints — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Handle constraints and nonsmooth penalties explicitly — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use continuous solutions as bounds, not rounded answers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Search integer decisions with valid pruning — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare tradeoffs without inventing one universal score — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Optimize against a declared uncertainty set — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/11 responses recorded. Written reasoning needs review.

Sustained investigation: 0/7 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• Topological spaces and open sets — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Bases and generated topologies — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Subbases and initial topologies — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Subspaces and relative openness — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Closure, interior and boundary — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Continuity through inverse images — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Homeomorphisms and topological invariants — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Finite products and projections — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Infinite products and the box topology — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Quotient maps and final topology — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Identifications, saturation and gluing — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• T₀, T₁ and Hausdorff separation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Regularity, normality and shrinking neighborhoods — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Countability axioms, density and Lindelöfness — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Sequences and the limits of sequential criteria — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Nets and general topological convergence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compactness and open covers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compact images, closedness and inverse maps — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Local compactness and one-point compactification — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Connectedness and components — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Paths, local connectedness and their differences — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compact products, ultrafilters and choice — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Urysohn separation and a metrization construction — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Tietze extension by successive corrections — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compactifications and the Stone–Čech construction — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Baire category and nested neighborhoods — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Covering dimension and finite-dimensional embeddings — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• A topology proof and counterexample workshop — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/12 responses recorded. Written reasoning needs review.

• Homotopies and fixed endpoints — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build the fundamental group — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Basepoints and induced homomorphisms — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Deformation retracts and homotopy equivalence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Covering maps and local sheets — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Lift paths one sheet at a time — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Lift homotopies and detect injectivity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compute the fundamental group of the circle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Winding numbers and circle degree — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• No retraction and the disk fixed-point theorem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Van Kampen and gluing loops — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Graph loops and free groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Cell attachments and surface groups — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The covering lifting criterion — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Monodromy and deck transformations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify connected covers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/8 responses recorded. Written reasoning needs review.

• Axioms, interpretations and relative consistency — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Finite affine and projective incidence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Betweenness, separation and Pasch — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Congruence axioms and SAS — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Continuity and the coordinate field — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Neutral geometry and the exterior angle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Parallel postulates and their logical role — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• A complete Euclidean coordinate model — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify Euclidean isometries algebraically — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reflections, rotations and glide reflections — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Similarities and the hierarchy of invariants — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Constructible coordinates and quadratic extensions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Impossibility by field degree — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Affine coordinates and barycentric reasoning — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Projective completion and points at infinity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Duality and cross-ratio — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Conics as homogeneous quadratic geometry — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The hyperbolic upper half-plane — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The disk model and conformality — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Hyperboloid and Klein coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Classify hyperbolic Möbius motions — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Hyperbolic triangle identities and angle defect — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Great circles and spherical triangles — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Elliptic geometry and antipodal identification — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare curvature through triangle area — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• A geometric model and proof portfolio — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/11 responses recorded. Written reasoning needs review.

• Prove identities by counting the same objects — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Count allocations with bounds — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Track inversions with a generating polynomial — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count unlabeled blocks of labeled objects — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count partitions through diagrams and products — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Enumerate permutations by cycle structure — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build an inclusion–exclusion sieve — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Solve recurrences as formal power series — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count labeled products with exponential series — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Assemble labeled components — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count constrained paths and recursive trees — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Invert sums on a finite partial order — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare chains and antichains — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count objects up to symmetry — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Realize or refute a degree sequence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Encode a labeled tree reversibly — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count spanning trees with a determinant — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Justify greedy selection by exchange — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Finite matroids: preserve a partial choice while exchanging — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Why weighted matroid greedy works—and when it does not — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Distinguish edge traversal from vertex cycles — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Certify a maximum flow by a cut — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn disjoint paths into a cut problem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find a matching or a Hall obstruction — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Pair an optimal matching with a vertex cover — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Explain the extra obstruction in general matching — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Color graphs with structural orderings — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Count colorings with a recurrence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use faces to certify planar obstructions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use planar topology in coloring and dual graphs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Maximize edges under clique restrictions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Force structure in every coloring — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove existence by averaging and alteration — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Measure when a random structure appears — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/15 responses recorded. Written reasoning needs review.

• Identify the equation and the data it needs — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Follow moving data along characteristic curves — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Locate the limit of a classical characteristic solution — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Preserve integral balance across a jump — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose an admissible conservation-law continuation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Project a profile onto orthogonal modes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Specify what it means for a Fourier expansion to recover data — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Build boundary-adapted orthogonal modes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Evolve a profile by decaying spatial modes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove uniqueness and bounds without summing the solution — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct diffusion on the whole line — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate forcing from homogeneous evolution — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Split a wave into two traveling profiles — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove finite-speed uniqueness by an energy balance — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Enforce boundary conditions through modes and reflection — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Track waves on spheres and inside cones — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover interior values from surrounding averages — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use signs to bound elliptic solutions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build harmonic boundary responses from modes — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build forced solutions from point responses — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Detect missing constants and incompatible flux — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn spatial derivatives into frequency multipliers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover functions and propagate frequency energy — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Differentiate jumps without inventing point values — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Distinguish dispersive phases from diffusion — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn boundary problems into coercive variational equations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive the heat time-step restriction — not marked complete; 0/7 tasks have recorded responses. Written work needs review.
• Follow the direction of information on a grid — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Extend energy arguments to coupled fields — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive wave equations from stationary action — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/12 responses recorded. Written reasoning needs review.

• Turn a broad concern into a testable decision — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive equations from inventories and flows — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use dimensions to reject impossible formulas — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Expose the ratios controlling a model — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Model repeated updates without confusing them with derivatives — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Analyze interactions and conservation in continuous time — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Represent random transitions and distinguish means from paths — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Model connectivity and bottlenecks with conservation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare decisions using feasible bounds — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Simplify a model while tracking the error regime — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Model what is measured, not only what exists — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Ask whether different parameters can look identical — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Fit parameters and inspect what the fit misses — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Find which changes matter and where — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Propagate uncertainty without hiding dependence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Test predictions outside the fitting calculation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prefer a model for a reason that can be checked — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Choose observations that distinguish competing explanations — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Check the computation before interpreting its output — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a question from claims and their assumptions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Use examples to refine rather than certify a claim — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Combine symbolic arguments with bounded search — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Write a result another reader can reconstruct — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Turn criticism into a documented mathematical improvement — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Plan a cumulative investigation with a feasible fallback — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Defend conclusions and preserve the limits of the evidence — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/10 responses recorded. Written reasoning needs review.

Sustained investigation: 0/8 milestones recorded. Separate changed case. Submission counts do not establish independent review.

• Regular curves and arc length — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Signed curvature and turning angle — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Frenet frames, curvature and torsion — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Reconstruct a curve from bending data — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Closed curves, turning and area bounds — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Surface charts and regular values — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Tangent maps and orientation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The metric in surface coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Surface area and invariant integration — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Normal acceleration and the second fundamental form — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Principal curvatures as a self-adjoint problem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Normal curvature in every direction — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The Gauss map and oriented area change — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Graphs and the minimal-surface equation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Surfaces of revolution and special examples — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Ruled surfaces and developability — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Intrinsic metrics and local isometries — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The surface connection in coordinates — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Parallel transport and holonomy — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Geodesics and their initial-value problem — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Geodesics as critical points of energy — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The exponential map and normal neighborhoods — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• The Gauss equation and intrinsic curvature — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Codazzi and compatible surface data — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Jacobi fields and geodesic separation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Completeness and global shortest paths — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Geodesic curvature and boundary orientation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Local Gauss–Bonnet from a moving frame — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Global Gauss–Bonnet by triangulation — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Global shape, vector-field index and limits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/11 responses recorded. Written reasoning needs review.

• Describe information with sigma-algebras — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Derive continuity from countable additivity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct size from countable covers — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Split every test set without losing mass — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Extend consistent interval assignments — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Approximate measurable sets by open and compact sets — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate null-set completion from arbitrary measurability — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Approximate measurable values from below — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Define integration from simple functions — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Pass an increasing limit through the integral — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Bound integrals of lower limits — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Control limits with an integrable envelope — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare almost uniform and nearly continuous behavior — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prevent mass from concentrating in tails — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Build a product measure from rectangles — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Interchange nonnegative iterated integrals — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Check absolute integrability before changing order — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Transfer integration along a measurable map — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Control products with conjugate exponents — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove the triangle inequality in Lp — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Construct limits of Cauchy sequences — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Separate positive and negative mass — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover a density from absolute continuity — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Split density mass from singular mass — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Recover an integrable function from local averages — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Identify exactly which functions are integrals of derivatives — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Express laws and independence through measures — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Compare convergence modes using event bounds — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Define conditional expectation by integral tests — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• View conditioning as a contraction and projection — not marked complete; 0/6 tasks have recorded responses. Written work needs review.
• Prove weak and strong averaging results — not marked complete; 0/8 tasks have recorded responses. Written work needs review.
• Connect distributional limits to integral transforms — not marked complete; 0/8 tasks have recorded responses. Written work needs review.

Mixed unit assessment: 0/12 responses recorded. Written reasoning needs review.