Calculus I (150-49-202) Instructor:  Ash, J.M.
 Quarter:  Winter, 2007 Time:  TTh 8:30 - 10:00 Campus:  LPC Room:  O'Connell 340
Homepage: http://www.depaul.edu/~mash/
E-mail: mash@math.depaul.edu
Phone(s): (773)325-4216
Fax: (773)325-7807
Office: 519 SAC
Office Hours: TTh 10:05 - 11:35, also by appointment

## Prerequisites

MAT 131 or placement by the Mathematics Diagnostic Test. Prerequisites are strictly enforced by the Math Department. A prerequisite can only be waived by the approval of the instructor and the department chair.

## Textbooks and other materials

Single Variable Calculus, Volume 1, 5th Edition, by J. Stewart, Brooks/Cole, 2005. ISBN 0-534-49676-8

A scientific calculator is required.

## Summary of Course

Chapter 2 - Limits and rates of change
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.5 Continuity

Chapter 3 - Derivatives
3.1 Derivatives
3.2 The Derivative as a Function
3.3 Differentiation Formulas
3.4 Rates of  Change in the Natural and Social Sciences
3.5 Derivatives of Trigonometric Functions
3.6 The Chain Rule
3.7 Implicit Differentiation
3.8 Higher Derivatives
3.10 Linear Approximations and Differentials

Chapter 4 - Applications of Differentiation
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
4.4 Limits at Infinity; Horizontal Asymptotes
4.5 Summary of Curve Sketching
4.7 Optimization Problems
4.9 Newton's Method

Midterm and final exams, in class and closed book will count equally in determining a preliminary grade. Homework will be assigned each class day, discussed the next class day, collected the next class day and will increase or decrease the preliminary grade by at most one grade. For example, B+ and satisfactory homework = A-. Make-up exams will not be given. The final exam will be from 8:45-11:00 on Tuesday, March 20, 2007.

## Methods

Classroom lectures and discussion.