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Calculus III (152-49-201) Instructor:  Ash, J.M.
Quarter:  Winter, 2005
Time:  MWF 12:00 - 1:00
Campus:  LPC
Room:  Levan 504
Homepage: http://www.depaul.edu/~mash/
E-mail: mash@math.depaul.edu
Phone: (773)325-4216
Fax: (773)325-7807
Office: 519 SAC
Office Hours: M
1:00 - 2:00, WF 9:40 - 10:40, 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 11:45-2:00 pm on Wednesday, March 16, 2005.

Methods

Classroom lectures and discussion.

DePaul University's Academic Integrity Policy

Students must abstain from any violations of academic integrity and set examples for each other by assuming full responsibility for their academic and personal development, including informing themselves about and following the university's academic policy. Violations of academic integrity include but are not limited to the following categories: cheating; plagiarism; fabrication; falsification or sabotage of research data; destruction or misuse of the university's academic resources; alteration or falsification of academic records; and academic misconduct. Conduct that is punishable under the Academic Integrity Policy could result in additional disciplinary actions by other university officials and possible civil or criminal prosecution. To review the complete Academic Integrity Policy of the University, please go to http://condor.depaul.edu/~handbook/code17.html .