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Calculus III (152-49-101) Instructor:  Ash, J.M.
 Quarter:  Fall, 2006 Time:  TTH 11:50 - 1:20 Campus:  LPC Room:  Levan 501
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 10:15
- 11:45, also by appointment

## Prerequisites

MAT 151, 161, 171, BMS 156, 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 8:  Techniques of Integration
8.4 Integration by Parts (review)
8.3 Rationalizing Substitutions
8.5 Integration of Rational Functions

Chapter 9: Indeterminate Forms and Improper Integrals
9.1 Indeterminate Forms of Type 0/0
9.2 Other Indeterminate Forms
9.3 Improper Integrals: Infinite Limits of Integration
9.4 Improper Integrals: Infinite Integrands

Chapter 10: Infinite Series
10.1 Infinite Sequences
10.2 Infinite Series
10.3 Positive Series: The Integral Test
10.4 Positive Series: Other Tests
10.5 Alternating Series, Absolute Convergence, and Conditional Convergence
10.6 Power Series
10.7 Operations on Power Series
10.8 Taylor and Maclaurin Series

Chapter 11: Numerical Methods, Approximations
11.1 The Taylor Approximation to a Function
11.3 Solving Equations Numerically

## Homework and Grading Policy

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 am on Tuesday, November 21, 2006.

## Methods

Classroom lectures and discussion.