Math 251
Multivariate Calculus
Fall 2016
| Section: | 01 | 03 |
| Meetings: | MWF 11:25-12:40 | MW 3:15-4:30, F 1:50-3:05 |
| Classroom: | 3A2-1 Tech South | 005 Hermann Hall |
| Syllabus: | link | link |
E-mail: breiniger (at) iit (dot) edu
My office: 110 Rettaliata Engineering Building
Office hours: M2-3, T11:25-12:40, and by appointment
Advice for WebAssign:
- You should first attempt each assigned problem on paper (log off the WebAssign website) like regular paper and pen assignments. Save this written work for review before quizzes and exams and in case you have to discuss your solution with me.
- Carefully read the WebAssign Student Guide to understand how to format your solutions.
- When you have finished entering your answers, click on "Submit" and WebAssign will immediately grade your solutions. You can then re-work your incorrect problems and re-submit them to improve your score. You can submit your assignment up to 5 times without penalty.
- After two incorrect attempts, look at the book again, review your notes and re-do the problem from scratch. Do not guess an answer. Remember you have only 5 attempts for each problem, so do not waste your attempts on frivolous trial and error solutions.
- Do not enter an equivalent expression when your answer is marked wrong; the software behind Webassign matches equivalent expressions.
- Avoid simple mistakes like: wrong syntax, incorrect usage of parentheses, incorrect letter for a parameter or variable.
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Practice exam 1 and Solutions.
Exam 1 and Solutions.
Errata to the practice exam:
Errata to the practice exam:
- Solutions #3: Near the end, the projection should have $|n|$ in the denominator instead of $|v|$, which (together with fixing an arithmetic mistake) leads to a final answer of $\sqrt{5}$.
- #3: $\ell_1$ is not the same as the one above. Use this one.
- #13d: The numerator was meant to be $x^3 y$. (As written, the limit would be zero.)
- #14: I meant to also ask about $f_y$ at the upper-central point.
- #16: It makes more sense to approximate $f(1.1,0.1)$. Anyway, the problem isn't wrong as written, you're just less likely to get a "good" approximation.
Practice exam 2 and Solutions.
Exam 2 and Solutions.
Errata to the practice exam solutions: In #14, the lower bound on $y$ should be just $r^2$.
Errata to the practice exam solutions: In #14, the lower bound on $y$ should be just $r^2$.
Practice for chapter 16 (answers collaboratively produced in Piazza; ignore 2b).
Last modified November 3, 2017.