Math 162B/C
Calculus II
Spring, 2007

Syllabus

Course topics.   Welcome to a second course in calculus. In the first part of the course we will pick up where we left off at the end of Calculus I (Math 161), learning new techniques for evaluating various integrals. From there we will proceed to less familiar topics such as infinite series, vector analysis, and calculus on functions of multiple variables. Our text is University Calculus, by Hass, Weir and Thomas. We will cover
• Chapter 7: Sections 1-4, 6, 7 (integration techniques, L'Hospital's rule)
• Chapter 8: Selections, including Sections 1, 2, 5-8 (limit of a sequence, divergence/ratio tests, geometric/power/alternating/Maclaurin series)
• Chapter 9: Sections 1-2 (equations/graphs in polar coordinates)
• Chapter 10: Sections 1-6 (equations in 3D space; vectors and their products)
• Chapter 11: Sections 1-2 (vector functions, their derivatives and integrals)
• Chapter 12: Sections 1-7 (functions of multiple variables and their derivatives; tangent planes; optimization)
• Chapter 13: Sections 1-7 (multiple integration and applications)
Along with these (and every bit as importantly, in my view), I would like to see you grow as mathematics students. Here are some thoughts on that subject.

Class sessions.   Class is scheduled for five days a week. While this schedule allows us more class time to discuss relevant concepts in the course, assignments will be made with 4 nights of work in mind. In a typical week we will cover 2-4 sections of the text. You are expected to come to class on time, with book, calculator and notes in hand. At least several times during the semester we will spend a class period working through a computer lab material from class.

 Homework 15% Exams 60% Final Exam 25%

Exams.   There will be 4 exams given during the term. The dates are Feb. 14, Mar. 7, Apr. 5, and May 4. Rather than trying to sift through the various reasons why an exam must be missed to decide which ones are excused, I have adopted a policy of allowing the final exam to replace your worst exam if, indeed, the grade on the final is better. No make-up exams will be given, and exams may not be taken early.

The final exam is cumulative, and will take place on Monday, May 14, at 6:30 pm. The college requires that I give you the exam at this time, so schedule your travel plans accordingly.

Homework.   Most weeks homework will be assigned on 4 days, generally in the form of problems from the text. Problem sets will be collected twice per week, in general, and must be submitted by 3 pm. Once the grader has taken the class' set, no new submissions will be accepted. Among the assigned problems, only a subset will be designated as ones to be handed in. Answers to odd-numbered problems may be found in the back of the book, and so these usually will not be among those collected. Nevertheless, it will be assumed that you have endeavored to understand all assigned work.

Your write-ups for all assignments must be in your own hand and words, except when otherwise noted. This, however, does not mean you are to work in isolation. Quite to the contrary, I encourage you to come together with other members of the class to form a study group, and schedule regular meetings. I strongly believe that students can earn as much as one letter grade higher by building one another up in this fashion. Read this page for more on why I think participating in a study group is important, my vision of how it might function in order to be of most benefit to all who participate, and what pitfalls one should avoid when working with others so as to maintain personal accountability for the material.

Give as much attention to presenting your solutions in a coherent manner (using mathematical symbols as part of your sentence structure) as you give to actually solving problems, as it is the explanation of each problem that is graded (not simply the answer itself). Submission of work that incorporates another's writeup, even on homework, will be considered academic dishonesty. (See Section 4.2.8 of the Faculty Handbook.) You may borrow someone's idea for solving a problem. When it is the case that this borrowing represents a significant step in your answer, indicate this on your write-up (i.e., give the person's name if a member of the class, the url of the pertinent website, etc.).

Contacting me.   My office is NH 281. If you are having trouble in the course — if you do not understand something important or have some special circumstance that impedes your performance — see me about it right away! Do not put things off. The hours I am intentionally in my office for meeting with students are posted on my homepage, as they are subject to change during the semester. If we cannot connect at one of these times, feel free to talk with me about an appointed time to meet, or swing by my office and see if I am available to help.

I may be reached by phone at x66856, but a better way to reach me for a non-technical question is by email. If you require my approval for something, do not consider having left a message for me as equivalent to having obtained that approval.