Calculus I, Summer 2005

Course Information

Course Section: V63.0121.001
Location: 712 Silver Center
Time: Monday thru Thursday, 9:00 AM to 11:05 AM

Instructor: Tom Alberts
E-mail: alberts@cims.nyu.edu
Office Hours Mondays and Wednesdays, 11:10 AM to 12:30 PM, or by appointment

Course Homepage: Here, or available through Blackboard. I encourage you to use Blackboard as you'll be able to check your grades online, and there will be a discussion board that can be used to ask questions. If you don't know how to access Blackboard please e-mail me.

Textbook (required):  "Calculus I: One Variable", Excerpts from Salas/Hille/Etgen. Available at the NYU Bookstore. This book is also sold as part of a package with Richard Courant's Calculus, Volumes I and II, which are used in Calculus II and III. If you plan to take those courses you should consider buying the whole package.

Course Schedule

Available Here

Important Dates

• First class: Monday, May 16
• Midterm: Monday, June 6
• Final Exam: Thursday, June 23

Grading Scheme

• Homework: 40%
• Midterms: 20%
• Final Exam: 40%

Overview

This course serves as an introduction to the basic notions of one-variable calculus. The entire course is built around the study of rates of change, which means that we try to measure how much one quantity changes in response to a change in another quantity. Topics to be covered include limits, differentiation and differentiation formulas, trigonometric functions, log and exponential functions, optimization problems, antiderivatives, integration and the Fundamental Theorem of Calculus. The prerequisites are a grade of C or better in Pre-Calculus, and in order to continue on to Calculus II a grade of C or better must be achieved in this course.

A typical class will involve the presentation of the material and attempting some problems on the board. Student participation in class is strongly encouraged. If at anytime you have a question regarding the material, please do not hesitate to interrupt. As well, if you cannot understand me when I talk too fast, stumble over my words, or speak into the chalkboard, be sure to complain loudly.

If you wish to contact me out of class it is best to do so by e-mail. For help outside of office hours please schedule an appointment with me this way. Even if you're coming to office hours please let me know beforehand, as I tend to wander away from my office even when I'm supposed to be there.

Homework Assignments

Homework will be assigned from the textbook. There will be two homework assignments per week, one assigned on Monday and Tuesday and due Thursday, and the other will be assigned on Wednesday and Thursday and due the following Monday. Check back here or on Blackboard for the assignments.

• May 16, due May 19
• Section 2.1: #4, #26, #42
• May 17, due May 19
• Section 2.3: #4, #30, #34
• Section 2.4: #10, #24, #36
• May 18, due May 23
• Section 3.1: #14, #16, #20, #30, #32
• May 19, due May 23
• Section 3.2: #8, #14, #26, #32, #38
• May 23, due May 26
• Section 3.3: #8, #14, #28, #30, #40
• Section 3.4: #6, #14, #20, #46, #48
• May 24, due May 26
• Section 3.5: #12, #20, #22, #42, #50
• May 25, due May 31
• Section 3.6: #8, #12, #22, #28
• Section 3.7: #4, #30, #34
• May 26, due May 31
• Section 3.9: #20, #28
• May 31, due June 2
• Section 4.1: #2, #10, #14, #20
• Section 4.2: #8, #14, #22, #28, #34
• June 1, does not have to be handed in but some of these questions will appear on the midterm
• Section 4.3: #8, #12, #20, #34
• June 2, does not have to be handed in but some of these questions will appear on the midterm
• Section 4.4: #4, #16, #22, #30
• Section 4.5: #8, #10, #28, #54
• June 7, due June 9
• Section 5.2: #8
• Section 5.3: #2, #10, #12, #24, #26
• June 8, due June 13
• Section 5.4: #8, #10, #16, #24, #38
• June 9, due June 13
• Section 5.5: #6, #14, #26
• Section 5.6: #8, #10, #16, #24
• June 13, due June 16
• Section 5.7: #6, #14, #24, #32, #44
• Section 6.1: #4, #16
• June 14, due June 16
• Section 6.2: #4, #24, Bonus: #30
• June 15, due June 21
• Section 6.3: #4, #8, #20
• Section 6.4: #2, #8
• June 16, due June 21
• Section 8.2: #6, #8, #10, #20, #34

Review Questions

These are questions from the textbook that you may wish to review for the final exam. They also give a good idea of the content of the exam. You certainly don't need to do them all, but I'd suggest doing at least one from each section.

• Section 3.7: #16, #20
• Section 4.5: #39, #40
• Section 5.3: #23, #25
• Section 5.4: #6, #11, #14, #15, #33
• Section 5.6: #14, #15
• Section 5.7: #3, #12, #21, #25, #34
• Section 6.1: #8, #18
• Section 6.2: #8, #12, #25
• Section 6.3: #3, #10, #11
• Section 6.4: #16, #21
• Section 8.2: #3, #8, #9, #23, #26
• Section 7.3: #4, #6, #9, #13, #16, #18, #25, #28
• Section 7.4: #27, #30, #31, #38
• Section 7.6: read pg. 418, 419