Instructor: Prof. Douglas Salane

• office: 4213N
• e-mail:dsalane@jjay.cuny.edu
• web site: http://web.math.jjay.cuny.edu

Class Meetings:

• Tues. and Thurs., period 3, 11:05-12:20

Office Hours: Tues. and Thurs. 3:15 to 4:15, or by appointment

Required Text: Calculus: Single Variable - Early Transcendentals, 6th Edition. , James Stewart, Brooks Cole Publishing Co.

Course Description: The course provides an introduction to differential calculus.

Course Objectives: Students will gain a firm understanding of limit processes, continuity, and the derivative of a function. Students will learn how to compute derivatives of common functions. In addition, they will develop enhanced problem solving skills by using derivatives to solve optimization and related rate problems in chemistry, physics and the social sciences. Students will receive a brief introduction to integral calculus and by the end of the course should be prepared for Calculus II, which treats methods of integration.

Topics and Assignments:

• course topics
• assignments

Prerequisties: The course requires students to have had a pre calculus course or the equivalent. Certainly students should have knowledge of basic function concepts, facility with algebra, and some background in trigonometry. Unfortunately, there is no time in the course to review these topics in detail.

Supplemental Resources:

• The course makes extensive use of Maple 11, an interactive computer program for solving problems in mathematics. Students will need to use Maple 11 for the two assignments. All CUNY students can download the Maple program for home computers at no charge from the CUNY-EMALL.


• maple worksheets, problems


• History of Calculus This web site at Dartmouth University offers a nice brief introduction to history of Calculus. It also provides links to other web sites that provide detailed histories of development of calculus and other areas of mathematics.
• Related Rate Demos This web site developed by David Hill of Temple University provides a set of demos for the related rate problems discussed in section 3.9.
• Solved Optimization Problems This problem set is provided by Dan Kouba of UC Davis.

Announcements 5/7/09

• Final Exam - Tuesday, May 26 at 10:15am

Exams/grading: Grades will be based on three exams, three quizzes, a final and two computer assignments. The final is cumulative. Exams andthe final will account for 80% of the grade; assignments and quizzes 20%.

Responsibilities: Students are expected to attend all classes and take the exams at the scheduled times. Assigned readings and exercises must be completed after each class. In addition, students will be expected to participate in class and offer solutions to problems.

Tutoring:

Academic Honesty: You only learn if your work is your own. Cheating on exams or copying assignments will not be tolerated. Please review the College's policies on Plagiarism and Cheating.