Del Mar College

Math 2313

Calculus I

The textbook for 2003-2004 is Calculus, Earl Swokowski, (Brooks/Cole, Classic Edition, 1991). The following topics are to be covered in Calculus I.

2.1 Introduction to Limits

2.2 Definition of Limits

2.3 Techniques for Finding Limits

2.4 Limits Involving Infinity

2.5 Continuous Functions

3.1 Tangent Lines and Rates of Change

3.2 Definition of Derivative

3.3 Techniques of Differentiation

3.4 Derivatives of the Trigonometric Functions

3.5 Increments and Differentials

3.6 The Chain Rule

3.7 Implicit Differentiation

3.8 Related Rates

4.1 Extrema of Functions

4.2 The Mean Value Theorem

4.3 The First Derivative Test

4.4 Concavity and the Second Derivative Test

4.5 Summary of Graphical Methods

4.6 Optimization Problems

4.7 Rectilinear Motion and Other Applications

5.1 Antiderivatives, Indefinite Integrals, and Simple Differential Equations

5.2 Change of Variables in Indefinite Integrals

13.1 Plane Curves

12.1 Parabolas

12.2 Ellipses

12.3 Hyperbolas

12.4 Rotation of Axes