Calculus Practice

Limits, derivatives, integrals, and differential equations for Rhetoric Stage math.

Calculus path

From limits to change and accumulation

Approach, rate, accumulate, model

1Limits and ContinuityApproach behavior, one-sided limits, removable holes, infinite behavior, and continuity tests.2Derivative ConceptsTangent slope, instantaneous rate, secant slope, local linearity, velocity, and interpretation.3Derivative RulesPower, product, quotient, chain, trigonometric, exponential, and logarithmic rules.4Derivative ApplicationsCritical points, monotonicity, optimization, related rates, concavity, and curve sketching.5Integrals and TechniquesAntiderivatives, definite integrals, substitution, parts, trig integrals, and accumulation.6Integral ApplicationsArea, average value, volume, arc length, work, net change, and accumulated quantity.7Differential EquationsSlope fields, separable equations, exponential models, logistic growth, and initial values.

Topic lens

Limits and Continuity

Separate value-at-a-point from approach behavior.

Study loop

Name the object. Limit, rate, rule, graph behavior, integral, accumulated quantity, or model.
Find the anchor. Approach value, variable, rule family, critical point, boundary, region, or initial condition.
Make one move. Check left, right, direct substitution, and continuity assumptions.

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