Math 2210 - Calculus 3
Spring 2013

Section 005 - LCB 225
TH 6:00pm - 7:30pm

Instructor: Steffen Marcus
Office: LCB 116
Email:
Office Hours: TBA

Website: http://www.math.utah.edu/~marcus/math2210/
All course information and announcements will be posted on this website. It also contains information that may help you succeed in this course. I'll assume you are keeping up to date with its contents.

Text: Purcell, Rigdon & Varberg, Calculus with Differential Equations 9e, Prentice-Hall, (2007), ISBN-10: 0-13-230633-6, ISBN-13: 978-0132306331

Optional Text: H. M. Schey, div grad curl and all that, W.W. Norton & Company. This is a personal recommendation and is entirely optional. It covers the material in chapter 14 in a nice and informal way from a “physics-y” point of view.

Prerequisites: "C" or better in (MATH 1220 OR MATH 1250 OR MATH 1320) OR AP Calculus BC score of at least 4.

Goals: The main goal of the course is to provide an introduction to the techniques and methods of calculus in more than one variable. By the end of the course, I hope you will have learned how to at least:

• describe basic geometry in two and three dimensions using vectors;
• identify and graph common shapes, surfaces and volumes in two and three dimensions defined by functions and relations;
• use multivariable calculus to study functions in two and three variables and to solve simple optimization problems;
• change coordinates freely in two and three dimensions;
• evaluate double and triple integrals, and change coordinates to make their evaluation easier;
• evaluate line integrals and surface integrals and apply Green’s Theorem, the Divergence Theorem, and Stokes’ Theorem to these integrals.

Evaluation:
10%     weekly homework
25%     midterm 1
25%     midterm 2
40%     final exam
I reserve the right to change the grading scheme as I see fit. Any other grading scheme I use will only be beneficial to your grade as compared to the above standard.

Attendance: I will operate under the assumption that you are attending all lectures. I certainly think it is a really good idea to do so. My feelings will never be hurt, however, if you happen to miss a lecture. Even in the case of an emergency, you will always be responsible for the material presented in a class you may have missed - including changes to the homework and exam dates.

Homework: There will be weekly homework announced in class and posted on the website. It always gets announced and handed in at the beginning of class on Thursday. No late homework will be accepted. Both handwritten and typed homework is acceptable. Please treat your homework for this class the same way that you would treat an essay for a humanities class, in particular:

• title and date the homework at the top of the first page;
• write your name clearly at the top of every page;
• put the problems in order, indicating appropriately what you may have skipped;
• staple your homework at the top left corner -- no paperclips, creative corner folding/ripping, etc;
• write clearly -- messy homework may not be graded (this is best handled by writing a "good copy" to hand in after you have figured out exactly what to do).

Collaboration: I never recommend doing mathematics alone. Part of the reason I love math is that it can be such a social discipline if you let it. Please study together. Work together on the homework and other recommended problems. Teach someone something you understand - it's the best way to reinforce it. That being said, when it comes time to write up your homework, you must work alone. The expectation is that when you are working with other people, you are talking things out and perhaps writing stuff on a blackboard or scrap piece of paper, but you are not taking personal notes. When you go back home and write your homework up in good, your work should be in your own words and not copied.

Courseload: In addition to homework, I will be assigning reading from the textbook and recommended problems for you to think about. Mathematics is learned by consistently reinforcing the material. I will be operating under the assumption that you are reading the textbook at the pace suggested by the reading assignments, and working on the recommended problems throughout the term and not just the day before the exam.

Exams: The dates for our midterms and final are the following:
Midterm 1 - Thursday February 7th 2013, in class;
Midterm 2 - Thursday March 21st 2013, in class;
Final Exam: Tuesday April 30th 2013, 6:00pm (arranged by university administration)
No calculators of any kind will be allowed on the midterms or final exam.