# 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
6-7 Quiz05 on Thursday, March 8th. 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.