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Calculus II (151-49-201) Instructor:  Ash, J.M.
 Quarter:  Winter, 2004 Time:  MWF 9:40 - 10:40 Campus:  LPC Room:  SAC 204
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 150, 160, 170, 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 5: The Integral

5.1 Antiderivatives (Indefinite Integrals)
5.2 Introduction to Differential Equations
5.3 Sums and Sigma Notation
5.4 Introduction to Area
5.5 The Definite Integral
5.6 The First Fundamental Theorem of Calculus
5.7 The Second Fundamental Theorem of Calculus and the Mean Value Theorem for Integrals
5.8 Evaluating Definite Integrals

Chapter 6: Applications of the Integral

6.1 The Area of a Plane Region
6.2 Volumes of Solids: Slabs, Disks, Washers
6.3 Volumes of Solids of Revolution: Shells

Chapter 11: Numerical Methods, Approximations

11.2 Numerical Integration

Chapter 7: Transcendental Functions

7.1 The Natural Logarithm Function
7.2 Inverse Functions and Their Derivatives
7.3 The Natural Exponential Function
7.4 General Exponential and Logarithmic Functions
7.5 Exponential Growth and Decay
7.6 First-Order Linear Differential Equations
7.7 The Inverse Trigonometric Functions and Their Derivatives

Chapter 8: Techniques of Integration

8.1 Integration by Substitution
8.2 Some Trigonometric Integrals
8.4 Integration by Parts

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 Friday, March 19, 2004.

## Methods

Classroom lectures and discussion.