This is a college level course covering derivatives, integrals, limits, approximation, applications and modeling, and sequences and series.

Knowledge of algebra, geometry, trigonometry, analytic geometry, and elementary functions.

Two Semesters or Block

None

Calculus, 5th Edition; Authors: Thompson, Brooks, & Cole; 2003 ISBN: 053439339X

TI 83 Plus Calculator

A. Function & Graphs Functions & function notation Absolute Value & Piecewise Defined Functions Inequalities Composition & Combination of Functions Exponential & logarithmic functions Transformation of Functions Trigonometric Functions Polynomial & Rational Functions Vectors & Vector-Valued Functions Polar Coordinates & Graphs Parametric Equations & Conic Sections	C. Derivatives Definition of the Derivative Differentiation Rules The Chain Rule Derivatives of Exponential Functions Derivative of Logarithmic Functions Derivatives of Inverse Functions Differentiability & Continuity Implicit Differentiation Logarithmic Differentiation Parametric Derivatives Differentiation with Polar Curves Limits & Continuity of Vector- Valued Functions
B. Limits & Continuity Intuitive Definition of a Limit Algebraic Techniques for Finding Limits One-Sided Limits Infinite Limits Limits at Infinity Limits of Special Trigonometric Functions Continuity	D. Application of the Derivative Tangent & Normal Lines Position, Velocity, & Acceleration (PVA) Related rates Relative Extrema & the First Derivative Test Concavity & the Second Derivative Test

E. Anti-Derivatives Differential Equations and Slope Fields Antiderivatives The Chain Rule for Antiderivatives Antiderivatives of Exponentials Antiderivatives of Logarithms Antiderivatives of Inverse Trig Functions Integration by Parts Integration by Partial Fractions Trigonometric Substitutions The Definite Integral Fundamental Theorem of Calculus Improper Integrals	G. Infinite Sequences and Series Sequences Series Estimating Sums Other Tests for Convergence Power Series Taylor and Maclaurin Series
F. Application of Integrals Net Change and Displacement Volume Separable Differential Equations Numerical Solutions to Differential Equations Logistic Growth Work Arc Length & Surface of revolution Integration of Vector-Valued Functions Parametric Integrals Polar Integrals Other Applications of Definite Integrals

AP and Advanced Placement Program are registered trademarks of The College Board.