|Calculus I (150-49-302)||Instructor: Ash, J.M.|
Office: 519 SAC
Office Hours: TTh 10:15 - 11:45, also by appointment
MAT 131 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.
Calculus, 8th Edition by Varberg, Purcell, & Rigdon, Prentice Hall.
A scientific calculator is required.
Chapter 2: Functions and Limits
2.1 Functions and Their Graphs (review)
2.2 Operations on Functions (review)
2.3 The Trigonometric Functions (review)
2.4 Introduction to Limits
2.6. Limit Theorems
2.7 Limits Involving Trigonometric Functions
2.8 Limits at Infinity, Infinite Limits
2.9 Continuity of Functions
Chapter 3: The Derivative
3.1 Two Problems with One Theme
3.2 The Derivative
3.3 Rules for Finding the Derivative
3.4 Derivatives of Trigonometric Functions
3.5 The Chain Rule
3.6 Leibnitz Notation
3.7 Higher-Order Derivatives
3.8 Implicit Differentiation
3.9 Related Rates
3.10 Differentials and Approximations
Chapter 4: Applications of the Derivative
4.1 Maxima and Minima
4.2 Monotonicity and Concavity
4.3 Local Maxima and Minima
4.4 More Max-Min Problems
4.6 Sophisticated Graphing
4.7 The Mean Value Theorem
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 Friday, June 9, 2006.
Classroom lectures and discussion.
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 .