Pre-Calculus
Functions and their graphs: polynomial, rational, exponential, logarithmic and trigonometric functions; conic sections; topics in trigonometry; graphical and analytical solutions of systems of equations and inequalities, trigonometric forms of a Complex number and De Moivre's Theorem; sequences and series.Calculus AB
Limits, continuity, and differentiation of algebraic functions. Applications of differentiation; exponential, logarithmic, and trigonometric functions and their derivatives; optimization problems, 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.Calculus BC
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.
