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