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Calculus I (150-49-101) Instructor:  Ash, J.M.
 Quarter:  Fall, 2003 Time:  MWF 9:40 - 10:40 Campus:  LPC Room:  SAC 292
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: MWF 10:45 - 11:45, 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 approval of the instructor and the department chair.

## Textbooks and other materials

Calculus, 8th Edition by Varberg, Purcell, & Rigdon, Prentice Hall.

A scientific calculator is required.

## Summary of Course

Chapter 2: Functions and Limits
2.1 Functions and Their Graphs (review)
2.2 Operations on Functions (review)
2.3 The Trigonometric Functions (review)
2.4 Introduction to Limits
2.6. Limit Theorems
2.7 Limits Involving Trigonometric Functions
2.8 Limits at Infinity, Infinite Limits
2.9 Continuity of Functions

Chapter 3: The Derivative
3.1 Two Problems with One Theme
3.2 The Derivative
3.3 Rules for Finding the Derivative
3.4 Derivatives of Trigonometric Functions
3.5 The Chain Rule
3.6 Leibnitz Notation
3.7 Higher-Order Derivatives
3.8 Implicit Differentiation
3.9 Related Rates
3.10 Differentials and Approximations

Chapter 4: Applications of the Derivative
4.1 Maxima and Minima
4.2 Monotonicity and Concavity
4.3 Local Maxima and Minima
4.4 More Max-Min Problems
4.6 Sophisticated Graphing
4.7 The Mean Value Theorem

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 Thursday, November 20.

## Methods

Classroom lectures and discussion.