# Math 311. Vector Analysis. Spring 2012.

## Books:

Section 001. TR 8:00-9:15. Room: SMLC 356. Syllabus for Math 311 (33635).
Syllabus version from January 17th, 2018.

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 12:30-13:45. 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 Thursday, May 10th, 2018.
The exam will take place on Thursday, May 10th, at 7:30-9:30am in the usual classroom. One page (two sides) 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 some selected HWs problems:
23, 23sols_p1, 23sols_p2, 24, 24probs,
25, 25probs, 26, 26probs, 27. HW_14.
15 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 8 Extra Credit 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.
May 1st, 2012, class time.
13-14 Quiz10 on Tuesday, May 1st. (Solution published) Topic: Flux transport theorem.
DS Section 5.3, p. 290: 4, 7;
DS Section 5.4, p.294: 5, 6, 7, 8, 9, 10, 12;
DS Section 5.5, p.299: 1, 2, 3.
May 1st, 2018, class time.
11-12 Quiz09 on Thursday, April 26th. (Solution published) Topic: Stoke's theorem.
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, 5, 6, 8(a).
April 26th, 2018, class time.
- Quiz08 on Tuesday, April 17th. (Solution published) Topic: Gauss-Ostrogradsky (divergence) theorem.
Exam 2 on Thursday, April 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 Exam 2:
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;
DS 4.8, p. 256: 6;
DS 4.9, p. 262: 5, 7, 9.
Solutions of some selected HWs problems:
11a, 11b, 12a, 12b, 14, 15, 16, 18, 19, 21, 22a.
10 Quiz07 on Tuesday, April 10th. (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.
April 12th, 2018, class time.
8-9 Quiz06 on Tuesday, April 3rd 5th. (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.
April 3rd 5th, 2018, class time.
6-7 Quiz05 on Thursday, March 8th. (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.
March 8th 22nd, 2018, class time.
- Exam 1 on Tuesday, February 27th. (Solution published) Topics: all covered material.
As usual, no calculators or books allowed. You can prepare a page (one side) of reference of any formulae you like. No problems solutions.
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 Quiz04 on Thursday, February 22nd. (Solution published) Topic: directional derivative and gradient.
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.
February 26th, 2018, 5pm (you can e-mail it as ONE (!) PDF file).
4 Quiz03 on Tuesday, February 13th. (Solution published) Topics: Space curves, velocities, tangents, arc length.
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.
February 20th, 2018, class time.
3 Quiz02 on Tuesday, February 6th. (Solution published) Topics: Dot Product, Cross product. Equations of planes.
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.
February 8th, 2018, class time.
2 Quiz01 on Tuesday, January 30th. (Solution published) Topic: Equations of a line and a plane.
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.
February 1st, 2018, class time.
1 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.
January 25th, 2018, class time.