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Calculus Prep

Targeted algebra, trigonometry, and function practice designed to strengthen the skills that show up repeatedly in calculus.

11 interactive skill areasAlgebraTrigonometryFunctions

Unit Circle Exact Values

Exact sine, cosine, tangent, cosecant, secant, and cotangent values by quadrant in radians, degrees, or mixed form.

Trig Angle Skills

Unit-circle coordinates, reference angles, degree/radian conversions, coterminal angles, and quadrant practice.

Trigonometric Identities

Two identity sets: the identities required for BatchMath Calculus 1 and a broader set useful across calculus courses.

Synthetic Division & Rational Root Theorem

List possible rational roots, perform synthetic division, and connect remainders to polynomial factors.

Special Factoring

Special products, sums/differences of powers, grouping, substitution, Pascal’s Triangle, and mixed factoring.

Function Graphs

Recognize and analyze polynomial, rational, exponential, logarithmic, and trigonometric graphs.

Logarithm Rules

Product, quotient, power, inverse log facts, expanding/condensing, exact evaluation, and change of base.

Function Domains

Find domains of polynomial, rational, radical, logarithmic, trigonometric, inverse-trig, and combined functions.

Rational Function Analysis

Analyze holes, vertical asymptotes, horizontal/slant asymptotes, and intercept behavior.

Trigonometric Equations

Solve basic, multiple-angle, factored, quadratic-in-trig, and identity-based equations on [0, 2π).

Algebra for Calculus

Extra practice with conjugate rationalizing, complex fractions, and free-response rational-expression simplification.