Midterm 1: Friday, July 13 (Sample Exam | Solutions)
Midterm 2: Friday, August 3
Final: Friday, August 17
Final Exam Solutions: 1 | 2a | 2b | 2c | 3a | 3bc

Notes on the Inverse Function Theorem

Instructor: Luke Gutzwiller
E-mail: gutzwill@math.washington.edu
Office: Padelford C-8M

Office Hours:

• Mondays, 1.30-3.30
• ...or by appointment

Homework
Lecture Schedule

Homework will be due (almost) every week on Wednesday. Assignments will be posted on the web. If you can't make it to class for whatever reason, you can leave your homework in my mailbox, which is in the Math Lounge in Padelford. Late homeworks will not be accepted after 3.30 on the due date. Only a few problems--possibly three--from each homework set will be graded; of course, I won't tell you which ones beforehand. That would spoil the fun.

This course is an introduction to calculus in many dimensions, starting with basic set theory and topology, building up through partial derivatives, discussing the Implicit and Inverse Function Theorems, and culminating in a detailed treatment of changes of variables in multiple integrals. Much of the material will seem familiar from Math 324, but we will approach it from a slightly more sophisticated perspective and cover some of the details previously swept under the rug. We will try to indicate how important theorems could be proven, but students will not be expected to write detailed proofs themselves.

The textbook is Advanced Calculus, Third Edition, by Taylor and Mann. The lectures may include material from sources other than the assigned text.

I will try to keep a schedule online here to keep track of what I cover in lecture each day.

Grades will be based on a weighted average of one's percentage grades on the quarter's assignments. Homework will be worth 10% of your grade, and the exams 30% each. I will not curve the grades on any particular exam or quiz, but your final, total grades for the course will be curved based on the overall performance of the class.p>

The exams and quizzes will of course be closed-book. You may bring one 8.5x11" sheet of notes to the midterm and to the final. Feel free to use both sides if you like. You may use a scientific or a graphing calculator if you wish, but you will be required to show all your work to get full credit and you will sometimes be asked to leave your answers in exact form; calculators can be handy, but do not rely on them too much. You will not be required to simplify your answers unless a problem specifically requests you to do so.

You may not make up a missed exam unless you have an extremely good excuse, like a medical emergency, funeral, or fire. If you know in advance that you will have to miss one, contact me at least one week beforehand to request a makeup. I may or may not grant you one, depending on the circumstances. If you miss an exam due to a sudden emergency, contact me as soon afterwards as possible. I may ask you for some kind of written confirmation, such as a doctor's note.

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