Track your mastery across all 24 skill areas
Master all 10 units to be ready for a 5 on the AP Calculus BC exam!
Direct substitution, factoring, rationalizing, special limits
Types of discontinuities, IVT, horizontal & vertical asymptotes
Difference quotient, tangent lines, differentiability conditions
Power, product, quotient, trig, exponential, and log rules
Composites, implicit curves, second implicit derivatives
Inverse trig, inverse function theorem, log differentiation
Position/velocity/acceleration, related rates problems
Indeterminate forms, L'Hôpital's Rule, tangent approximations
Mean Value Theorem, absolute extrema, optimization problems
First/second derivative tests, inflection points, curve analysis
Integration basics, definite integrals, FTC Parts 1 & 2
U-substitution, integration by parts, partial fractions
Slope field visualization, solving separable DEs
Euler's method approximation, logistic growth model
Areas using horizontal and vertical slices
Disk, washer, and shell methods
dy/dx, d²y/dx², arc length for parametric curves
Position, velocity, acceleration, speed for vector functions
Polar-rectangular conversions, slopes in polar
Area enclosed by polar curves, arc length formula
Geometric, p-series, divergence, integral, comparison tests
Ratio test, root test, AST, absolute/conditional convergence
Power series, interval/radius of convergence
Deriving series for eˣ, sin x, cos x, 1/(1-x), applications