9.30-10.20 MWF, EEB 045
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Full Syllabus (PDF)
Supplemental Notes on Jacobians
Quiz 1: Friday, 6 April (Solutions:
Page 1 | Page 2)
Midterm: Friday, 4 May (Solutions)
Final Review: Monday, 4 June, 4pm, Math Lounge
Sample Exams
Another old exam (Solutions)
Final Exam: Wednesday, 6 June, 8.30am
Final Exam Solutions: 1ab | 1cd | 2 | 3 | 4 | 5
Instructor: Luke
Gutzwiller
E-mail:
gutzwill@math.washington.edu
Office: Padelford
C-8M
| Office Hours: |
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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 three-dimensional space: we will discuss directional derivatives, a chain rule for partial derivatives, and gradients; multiple integrals and their applications; vector fields; line and surface integrals; the vector derivatives div, grad, and curl; and Stokes' Theorem, an extremely general and powerful form of the Fundamental Theorem of Calculus. Vector calculus is the language of classical physics; it has other applications all over the sciences and engineering, and even finance. My background is in physics, though, so most of my applications are likely to be physics-related.
The textbook is Calculus: Early Transcendentals, Fifth Edition, by Stewart. This is the same text used in Math 126; we will be concerned with chapters 14, 15, and 16. Be sure your copy of the book includes these chapters! There are many versions of the book floating around, and some, intended just for Math 124 and 125, do not include these later chapters. We will not cover the material in the same order the textbook does; we will deal with chapter 15, on multiple integrals, first, and then return to sections 14.5 and 14.6 before moving on to chapter 16. Those of you who took Math 126 last quarter will have seen some of this before, but even if you have, double and triple integrals are incredibly useful and worth seeing again. 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 weekly homeworks, two quizzes, one midterm, and a final exam. Homework will be worth 10% of your grade, the quizzes 15% each, the midterm 20%, and the final 40%. I will not curve the grades on any particular exam or quiz, but your final, total grades for the course overall will be curved based on a weighted average of your homework, quiz, and exam scores.
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 will not be allowed any notes on the quizzes. 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 or quiz unless you have an extremely good excuse, like a medical emergency, funeral, or fire. If you know in advance that you 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 one 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.
For further reading, I can recommend the following...
Advanced Calculus by Taylor and Mann is the text used in Math 326, 327, and 328. It covers the same subject matter in more depth and with a somewhat more theoretical perspective. Many of the theorems we will state and use are proved in Taylor and Mann. Copies are on reserve at the library.
Div, Grad, Curl, and All That by H. M. Schey covers the material in Chapter 16 of Stewart from an informal, practical perspective with lots of illustrations and concrete, intuitive examples. It is very popular with physicists and engineers. It's also cheap.
