Calculus I (150-102)

Instructor:  Ash, J.M.

 Quarter:  Fall, 2009 Time:  TTh 11:20-12:50 Campus:  LPC Room:  Levan 506

Homepage: http://www.depaul.edu/~mash/
E-mail: mash@depaul.edu
Phone(s): (773)325-4216
Fax: (773)325-7807
Office: 507 SAC
Office Hours: TTh 9:40-11:10, 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 the approval of the instructor and the department chair.

## Textbooks and other materials

Single Variable Calculus, Volume 1, 6th Edition, by J. Stewart, Brooks/Cole, 2007. ISBN 0-495-01161-4

A scientific calculator such as the TI 83 Plus is required.

## Summary of Course

Chapter 2 - Limits
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
2.3 Calculating Limits Using the Limit Laws
2.5 Continuity

Chapter 3 - Derivatives
3.1 Derivatives and Rates of Change
3.2 The Derivative as a Function
3.3 Differentiation Formulas
3.4 Derivatives of Trigonometric Functions
3.5 The Chain Rule
3.6 Implicit Differentiation
3.7 Rates of Change in the Natural and Social Sciences
3.8 Related Rates
3.9 Linear Approximations and Differentials

Chapter 4 - Applications of Differentiation
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 How Derivatives Affect the Shape of a Graph
4.4 Limits at Infinity; Horizontal Asymptotes
4.5 Summary of Curve Sketching
4.7 Optimization Problems
4.8 Newton's Method

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 Tuesday, November 24, 2009.

## 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://studentaffairs.depaul.edu/code_StudentResponsibility/code16.html .

`Students with Disabilities`

Students who feel they may need an accommodation based on the impact of a disability should contact me privately to discuss their specific needs. All discussions will remain confidential.
To ensure that you receive the most appropriate accommodation based on your needs, contact me as early as possible in the quarter (preferably within the first two weeks of class), and make sure you have contacted the PLuS Program (for LD and/or AD/HD) at 773-325-4239 in SAC 220, or The Office for Students with Disabilities (for all other disabilities) at 773-325-7290 in Student Center 370.