# Math 311. Vector Analysis. Fall 2013.

## Books:

Section 002. TR 14:00-15:15. Room: SARAR 101. Syllabus for Math 311 (22747).
Syllabus version from August 21st, 2013.

H.F. Davis and A.D. Snyder, Introduction to Vector Analysis
7th Edition, Hawkes Pub., ISBN 0-697-16099-8.

Recommended: M.R. Spiegel,
Schaum's Outlines -- Vector Analysis (price: ~\$14.95)
McGraw-Hill, ISBN 0-07-060228-X
(excellent source of solved problems and examples)

## Office hours:

TR 11:00-12:15. Room: SMLC 220.

All homeworks: 100 points (only few randomly chosen problems from the homework will be graded, approximately 8 points for homework).
Two midterm exams: 100 points each (100+100 points).
In class quizes: 50 points.
Final exam: 200 points.
Total: 550 points.
Lowest boundaries for grades (not higher than):
A = 495, B = 440, C = 380, D = 330.
No late HWs are accepted after graded HW is returned. Even before for a late submission you shall get -1 point from the late HW grade.
HW # Homework problems Due date
- Cumulative Final Exam on Tuesday, December 10th.
The exam will take place on Tuesday, December 10th, at 10:00am--12:00pm in the usual classroom. One page (one side) of formulae is allowed. Calculators are prohibited.
Training set of problems (don't forget about other problems in the corresponding HWs and Schaum):
1) DS 2.2, p. 85: 5; DS 2.3, p. 96: 5, 6;
2) DS 3.8, p. 150: 10; DS Section 3.10, p.170: 6, 8(a,b), 11, 12.
3) DS 4.4, p. 212: 9(a,b);
4) DS 4.5, p. 222: 9(a,b,c);
5) DS 4.7, p. 246: 2(c,d,g), 16;
6) DS 4.8, p. 256: 6;
7) DS 4.9, p. 262: 3(a,b), 5, 6;
8) DS 4.9, p. 263: 9, 10, 11;
9) DS 4.10, p. 271: 1, 2, 3;
10) DS 5.2, p. 284: 1, 2, 5, 6, 8 (a).
Solutions of selected HWs problems:
19, 21, 22a, 23, 23sols_p1, 23sols_p2, 24, 24probs,
25, 25probs, 26, 26probs, 27. HW_14.
14 Quiz10 on Tuesday, December 3rd. (Solution published) Topic: Flux transport theorem.
DS Section 5.4, p.294: 5, 6, 7, 8, 9, 10, 12;
DS Section 5.5, p.299: 1, 2, 3.
Pictures for section 5.5 and some of the Shaum's problems.
Because many students have Second edition of Shaum book, all problem were scanned from the first edition.
Additional problems from Schaum (for extra 8 points, submit separately from HWs):
Schaum, p.132 (Scan of the problems): 40, 41, 42;
Schaum, p.133 (Scan of the problems): 52, 54;
Schaum, p.134 (Scan of the problems): 63, 64, 65, 66, 72, 74.
December 3rd, 2013, class time.
13 Quiz09 on Thursday, November 26th. (Solution published) Topic: Stoke's theorem.
DS Section 5.2, p. 284: 5, 6, 8(a);
DS Section 5.3, p. 290: 4, 7.
November 26th, 2013, class time.
11-12 DS Section 4.10, p. 271: 1, 2, 3;
DS Section 5.1, p. 277: 6, 7, 8, 9, 10;
DS Section 5.2, p. 284: 1, 2.
November 19th, 2013, class time.
- Quiz08 on Tuesday, November 19th. (Solution published) Topic: Ostrogradsky-Gauss (divergence) theorem.
Exam 2 on Tuesday, November 12th. (Solution published) Topics: everything covered since Exam 1, before 4.10.
As usual, no calculators or books allowed. You can prepare a page (ONE side) of reference of any formulae etc. you like.
Training set of problems for Exam2:
DS 3.10, p. 170: 8(a,b);
DS 4.1, p. 190: 6, 13;
DS 4.4, p. 212: 9(a,b);
DS 4.5, p. 222: 9(a,b,c);
DS 4.6, p.236: 5;
DS 4.7, p. 246: 2(c,d,g), 16;
For Sections 4.8 and 4.9 do the HW below.
Solutions of some selected HWs problems:
11a, 11b, 12a, 12b, 14, 15, 16, 18,
Problem 4.7.16.
10 Quiz07 on Thursday, November 7th. (Solution published) Topic: Volume integrals.
DS Section 4.8, p. 256: 3, 5, 6;
DS Section 4.9, p. 262: 3(a,b), 5, 7, 8, 9, 10, 11, 12, 13, 14, 16, 17.
November 12th, 2013, class time.
8-9 Quiz06 on Thursday, Thursday 31th. (Solution published) Topic: Surface integrals.
DS Section 3.10, p.170: 1, 2, 4, 6, 8(a,b), 11, 12;
DS Section 3.11, p.181: 12;
DS Section 4.6, p.236: 1, 2, 3, 4, 5, 6;
DS Section 4.7, p. 246: 2(c,d,g), 3, 4, 5, 11, 12, 14, 15, 16, 20, 21.
October 29th, 2012, class time.
6-7 Quiz05 on Tuesday, October 24th. (Solution published) Topic: Line integrals.
DS Section 4.1, p. 190: 5, 6, 7, 8, 9, 10, 13;
DS Section 4.2, p. 196: 2, 4, 5, 6, 8, 10;
DS Section 4.3, p. 204: 2(a,b,c,d,e), 4, 5, 6, 7;
DS Section 4.4, p. 212: 1(a,b,c,d,e), 3, 8, 9(a,b), 10;
DS Section 4.5, p. 222: 2, 4, 9(a,b,c), 10.
October 15th, 2013, class time.
- Exam 1 on Tuesday, October 1st. (Solution published) Topics: all covered material before Chapter 4.
No homework for this week. You can start doing covered sections from the next HW.
As usual, no calculators or books allowed. You can prepare a page (ONE side) of reference of any formulae etc. you like.
Training set of problems for Exam1:
DS 2.2, p. 85: 5;
DS 2.3, p. 96: 5, 6;
DS 3.1, p. 113: 20;
DS 3.3, p. 124: 4;
DS 3.4, p. 132: 10;
DS 3.6, p. 140: 4, 6;
DS 3.8, p. 150: 10.
Solutions of some selected HWs problems:
1, 2, 3, 4, 4b, 5, 6, 7, 8, 8b, 9.
5 DS Section 3.3, p. 124: 4, 5, 6, 8;
DS Section 3.4, p. 132: 1, 2, 3, 4, 9, 10;
DS Section 3.6, p. 140: 4, 5, 6;
DS Section 3.8, p. 150: 6, 9, 10(a,b,e,g,h,i), 11, 12.
September 26th, 2013, class time.
4 Quiz04 on Thursday, September 19th. (Solution published) Topic: directional derivative and gradient.
DS Section 2.3, p. 95: 1, 3, 4, 5, 6, 10, 13, 14, 15(abcdefghi), 17;
DS Section 3.1, p. 112: 1, 2, 3, 9, 10, 13, 14, 20, 24;
DS Section 3.2, p. 117: 2, 3.
September 17th, 2013, class time.
3 Quiz03 on Thursday, September 12th. (Solution published) Topics: Space curves, velocities, tangents, arc length.
DS Section 1.15: 1, 2, 3;
DS Section 2.1, p. 70: 1, 2, 3;
DS Section 2.2, p. 85: 1, 2, 3, 5, 7, 9, 11, 13, 15.
September 10th, 2013, class time.
2 Quiz02 on Thursday, September 5th. (Solution published) Topics: Dot Product, Cross product. Equations of planes.
DS Section 1.9, p. 34: 3, 4, 11, 13;
DS Section 1.10, p. 38: 1, 2, 3, 4, 13, 14;
DS Section 1.12, p. 51: 2, 3, 5, 11, 19, 20, 21, 23, 24, 26, 27;
DS Section 1.13, p. 57: 2, 3, 6, 7;
DS Section 1.14, p. 60: 6, 7, 11.
September 3rd, 2013, class time.
1 Quiz01 on Thursday, August 29th. (Solution published) Topic: Equations of a line and a plane.
DS Section 1.5, p. 14: 4, 5, 9, 12, 13, 16;
DS Section 1.7, p. 23: 1, 2, 5, 13-24;
DS Section 1.8, p. 28: 1, 3, 8, 9, 10, 18.
August 27th, 2013, class time.