Homework assignments
(MATH 2242-090, Spring 2013)

ARCHIVE PAGE

This page is not updated any more.


Instructor: Gábor Hetyei Last update: Wednesday, April 17, 2013

Disclaimer: The information below comes with no warranty. If, due to typographical error, there is a discrepancy between the exercises announced in class and the ones below, or this page is not completely up to date, the required homework consists of those exercises which were announced in class. Check for the time of last update above. If, by my mistake, a wrong exercise shows up below, I will allow you extra time to hand in the exercise that was announced in class. If, however, exercises are missing because this page is not up to date, it is your responsibility to contact me before the due date. (No extra time will be allowed in that case.) This page is up to date if the last update happened after the last class before the next due date.

The deadlines do not apply to the Bonus questions, which expire only once we solve them in class, or on April 22 at latest.

Notation: 1.4/6a means exercise 6, part a, in chapter 1, section 4.

No. Date due: Problems:
12 We Apr 24 8.1/4,6;   8.2/4,8; 8.3/2abc (only find f for the first F that has zero scalar curl), 4ab
Bonus: Explain how the last display formula on page 441 follows from the display formula immediately preceding it. Indicate carefully what F1, F2 and F3 are supposed to be functions of in each formula, and how the chain rules is applicable.
11 We Apr 17 7.6/2,4,6 (no physical explanation needed).
10 We Apr 10 7.4/4,6,8;   7.5/2,6,8.
9 We Mar 27 7.2/4ad,8,14 (assume that the unit square is in the plane z=0),16;   7.3/2,6,14.
8 We Mar 20 6.3/2,4   7.1/4, 10a.
7 We Mar 13 5.3/4ad, 8;   5.4/2,4ab, 10;   5.5/16, 18;   6.2/2a, 6a.
Note added on Monday, March 11, 2013: I will consider 5.4/4b as bonus, worth up to 3 points, still due on March 13.
6 We Feb 27 4.3/16,18;   4.4/4,10,18,20;   5.2,2ac, 4.
Bonus questions:
  1. Prove formula 10 on page 255.
  2. Use Cavalieri's principle to derive the volume formula for the (hemi-)sphere from the volume formulas for the cylinder and for the cone.
5 We Feb 13 2.6/4,6,10ab   Chapter 2 Review/6;   3.1/4,8;   4.1/6,12;   4.2/4.
4 We Feb 6 2.3/10a, 12ab, 24   2.4/6d (use the sine and cosine functions), 16, 18, 22;   2.5/8;   2.6/2ac
3 We Jan 30 2.1/10a, 12 (for c=0 and c=2 only), 14 (for c=0 and c=2 only), 32;   2.2/4a, 8ab, 18.
2 We Jan 23 1.3/14,28,34;   1.4/2, 4ac,8ab;   Chapter 1 review/8ac, 16, 18.
Note added on Monday, January 21, 2013: In class I assigned 1.3/28. By mistake I listed 1.3/18 above, until today. As stated in the Disclaimer above, what I say in class counts. If you see this message after the posted deadline, you have an additional week to do 1.3/28. I apologize for the inconvenience.
Bonus: 1.3/42.
1 We Jan 16 1.1/14,16,18,24;   1.2/8,12,18,20.