AP Calculus
Limits, continuity, and differentiation of algebraic functions. Applications of differentiation; exponential, logarithmic, and trigonometric functions and their derivatives; the definite integral and the fundamental theorem of calculus. Application of the integral. The Riemann sum, Intermediate Value Theorem, Mean Value Theorem, L'Hospital's rule and more.Theoretical treatments and Applications of Definite Integrals. Techniques of Integration. Infinite sequences and series and convergence and divergence of series. Taylor Series and polynomial Approximations. Line integrals. Parametric equations and polar coordinates. Elementary differential equations. Basic proof methods.
