270TOC

Algebra Review

Functions and Their Graphs

The Algebra of Functions

Introductory Topics

An Introduction to Limits

Functions and Mathematical Models

One-Sided Limits and Continuity

Basic Differentiation Rules

Product and Quotient Rules

Marginal Functions in Economics

Higher Order Derivatives

Implicit Differentiation

Application Topics

An Application of the First Derivative

An Application of the Second Derivative

Curve Sketching

Optimization Part I

Optimization Part II

Exponential Functions

Review of Logarithmic Functions

Compound Interest

Differentiation of the Exponential Function

Differentiation of the Logarithmic Function

Exponential Functions as Mathematical Models

Area and Integration Topics

Antiderivatives and the Rules of Integration

Integration by the Substitution Method

Area and the Definite Integral

The Fundamental Theorem of Calculus

Evaluating Definite Integrals

Web page Created by

Dr. Julia Arnold, Dr. Marcia Tharp, and Ron Robertson

Power Point authors are Dr. Julia Arnold, Professor Karen Overman, Professor Joe Joyner and Ms. Shirley Brown

Last edited on 1/2/2013

Send comments to: jarnold@tcc.edu