Calculus II (151-49-202)

Instructor:  Ash, J.M.

 Quarter:  Winter, 2011 Time:  TTh 11:20 – 12:50 Campus:  LPC Room:  O’Connell 256

Homepage: http://www.depaul.edu/~mash/
E-mail:
mash@math.depaul.edu
Phone(s): (773)325-4216
Fax: (773)325-7807
Office Hours: Tu 1:30-4:30, often Th 1:30-2:30. Also by  appointment, email or telephone.

Prerequisites

MAT 150 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, 6th Edition, by J. Stewart, Brooks/Cole, 2007. ISBN 0-495-01162-4
A scientific calculator is required.

Summary of Course

Chapter 4 - Applications of Differentiation
4.9 Antiderivatives

Chapter 5 - Integrals
5.1   Areas and distances
5.2   The definite integral
5.3   The fundamental theorem of calculus
5.4   Indefinite integrals and the net change theorem
5.5   The substitution rule

Chapter 6 - Applications of integration
6.1   Areas between curves
6.2   Volumes
6.3   Volumes by cylindrical shells
6.5   Average value of a function

Chapter 7 - Inverse functions
7.1   Inverse functions
7.2* The natural logarithmic function
7.3* The natural exponential function
7.4* General logarithmic and exponential functions
7.6   Inverse trigonometric functions

Chapter 8 - Techniques of integration
8.1   Integration by parts
8.2   Trigonometric integrals
8.7   Approximate integration

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 11:45-2:00 on Wednesday,  March 15, 2011.

Methods

Classroom lectures and discussion.

Tutors

Free, starts in second week, see class web page for details.