1. PRELIMINARIES.

Precalculus Review. The Cartesian Coordinate System. Straight Lines.

2. FUNCTIONS, LIMITS, AND THE DERIVATIVE.

Functions and Their Graphs. The Algebra of Functions. Functions and Mathematical Models. Limits. One-Sided Limits and Continuity. The Derivative.

3. DIFFERENTIATION.

Basic Rules of Differentiation. The Product and Quotient Rules. The Chain Rule. Higher-Order Derivatives. Implicit Differentiation and Related Rates.

4. APPLICATIONS OF THE DERIVATIVE.

Applications of the First Derivative. Applications of the Second Derivative. Curve Sketching. Optimization I. Optimization II.

5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.

Exponential Functions. Logarithmic Functions. Differentiation of Exponential Functions. Differentiation of Logarithmic Functions. Exponential Functions as Mathematical Models.

6. INTEGRATION.

Antiderivatives and the Rules of Integration. Integration by Substitution. Area and the Definite Integral. The Fundamental Theorem of Calculus. Evaluating Definite Integrals.