Office Hours: Tuesdays, 9:00-10:30, and Wednesdays, 3:30-5:00.
Warning. You should expect 5-8 hours of homework a week in this class, which is more than most other instructors assign; in my experience there is no other way to learn the material. Your consistent effort will certainly lead to improved understanding, and it will almost certainly lead to you earning high grades.
I anticipate covering the entire text, except for any material which I presume you already know from 241. The text will also be supplemented with additional material, for which lecture notes will be made available. This will be on the homework and exams too.
The final exam will be two and a half hours, with the same format as the midterms. The final exam will be distributed on Monday, April 27 and is due by the end of the day on Tuesday, May 5.
Midterm Exam 1, with solutions.
Midterm Exam 2, with solutions.
Grading scale: You are guaranteed at least an A for 85+, B+ for 80+, B for 70+, C+ for 65+, C for 50+, and D for 40+. These are wider margins that the usual 10-point scale. But be warned that I will be fairly strict, and that some problems will be difficult.
Grade component | % of grade |
Two midterm exams | 15% x 2 |
Final exam: | 25% |
Homework: | 45% |
Homework will be due approximately once a week. Late homework will only be accepted in case of illness, emergency, or university-sanctioned event (in which case you should clear it with me beforehand).
Please note: If you come to office hours, please don't be shy about interrupting me! I'm usually in the middle of something, but it can wait.
Academic honesty and attendance are expected of all students.
On homeworks, collaboration is encouraged, but you should write up your own solution. The basic guideline is: when writing up your solutions, you should not be looking at another student's solution. If another student explains to you how to solve a problem, that is okay, but you should then reproduce this solution without copying theirs.
If you have a documented disability, or otherwise need special arrangements, then let me know and I will work to accommodate your needs. If you need any sort of special treatment, you should let me know at least one week in advance.
Exams should be your own work exclusively.
Calculators will not be needed or allowed on exams. You may use them sparingly on homeworks -- but don't rely on them!
Homework 0, due Friday, January 24.
Homework 1, due Monday, February 3.
Homework 2, due Monday, February 10.
Homework 3, due Friday, February 20.
Homework 4, due Friday, March 6.
Homework 5, due Monday, April 6.
Homework 6, due Monday, April 13.
Homework 7, due Monday, April 20.
Homework 8, due Monday, April 27.
(That's all, folks!)
TNB Frame (with animation), by lahvak1.
The Line Integral, A Visual Introduction, by vcubingx (Vivek Verma).
Divergence and curl: The language of Maxwell's equations, fluid flow, and more, by 3Blue1Brown (Grant Sanderson).
Green's Theorem, explained visually, by vcubingx.
The excellent Khan Academy has a number of outstanding videos on multivariable and vector calculus.