Objectives: The course covers Chapters
12-16: vector analysis, space curves, functions of several
variables, line integrals and
surface integrals. Theories as well as their applications will be
addressed.
Outcomes: The student is expected to (i)
understand the concepts of vectors, partial derivatives, line and surface
integrals; (ii) have geometric and physical intuition of these; (iii) be
skillful in calculating these; (iv) be able to apply the mathematics to solve
physical problems.
Calculators: TI-84 plus graphics
calculators; other acceptable calculators: TI-82, 83 plus, 85, 86.
Calculators with symbolic manipulation capabilities are NOT
acceptable.
There
will be three (3) tests during the semester. Quizzes will be given weekly in
Lab class( except in test weeks). There will be no
make-up quizzes and generally no make-up tests. However, in some extreme cases,
if you are forced to miss the test, you must notify me within three (3) days of
the date of the test, preferably before the test is given. For the Final Exam,
you must notify me before or on the date of the exam. An excuse from your
doctor or other appropriate authorities must be presented at that time.
The tests will be held tentatively on
Homework
will not be collected. However, some homework problems, with or without slight
modifications, will appear in quizzes and tests. (So will the examples that I
work on in my lectures.) Thus it is absolutely imperative to work on each of
the problems assigned below, preferably in group discussions.
Homework problems
|
Section |
Problems |
|
12.1 |
1, 2, 6 , 7, 13, 15, 18, 19, 20, 23, 25, 27, 29, 31, 39 |
|
12.2 |
1, 2, 3, 4, 6, 8, 17, 19, 23, 25, 32, 41, 45 |
|
12. 3 |
1, 5, 7, 9, 13, 17, 19, 37, 39, 41, 44, 46, 54, 57, 58, 60 |
|
12.4 |
1, 3, 13, 14, 15, 16, 19, 29, 38, 43, 45, 46, 49, |
|
12.5 |
1, 2, 5, 6, 9, 12, 13, 23, 26, 29, 30, 31, 39, 49, 61, 69,
71, 73 |
|
12.6 |
1, 9, 21-28 |
|
13.1 |
1,4,7,9,19-24, 41 |
|
13.2 |
1, 9, 17,19,23,24,33, 49 |
|
13.3 |
1,3, 13,15, 24, 31, 33, 40, 51-54 |
|
13.4 |
1, 9,10,15, 20, 22,23,25, Applied project--Kepler’s laws 1, 2. |
|
14.1 |
6,21,23,26,28,30,31,32,33,35,38,55-60 |
|
14.2 |
1,6,7,10,13,14,18,29,37,40,41 |
|
14.3 |
1,5,7,8,15,17,18,22,31,40,45,50,61,93,94, 95(b-e) |
|
14.4 |
1,4,11,14,26,30,31,33 |
|
14.5 |
5,7,11,13,14,16,18,45,49,53,58 |
|
14.6 |
1,4,7,11,15,21,23,27,30,31,39,40,49 |
|
14.7 |
1,5,6,7,31,32,41,43,51 |
|
14.8 |
1,3,4,7,8,18,45 |
|
15.1 |
4, 5(a), 17, 18 |
|
15.2 |
15,16,21,22,27,28 |
|
15.3 |
7,8,19,22,23,39,41,43,45,46,47 |
|
15.4 |
1-7, 10, 19, 20, 29, 30, 36 |
|
15.5 |
skipped |
|
15.6 |
3,9,10,17, 38-39(find mass only) |
|
15.7 |
1,3,5,6,15,16,17,18, 20 |
|
15.8 |
1,3,5,6,11,21,22,23, |
|
15.9 |
1,6,11,17(a),19,20 |
|
16.1 |
1,5, 6, 11-14, 15-18, 21,23 |
|
16.2 |
1,8,10,14,17, 18, 20, 21,34(ignore center of mass), 39, 41 |
|
16.3 |
1,3-5, 11, 13,15, 16, 21, 23, 24, 27, 33 |
|
16.4 |
1,6,7,8,11,17,18, |
|
16.5 |
1,2,12-14, 19,21,22,25,27-29, 33, 36, |
|
16.6 |
13,14, 19, 33,38, 41, 47, 58, |
|
16.7 |
5, 9, 10, 19, 24, 38,42 |
|
16.8 |
1,2,3,7,9,16, 17 |
|
16.9 |
5, 9, 11,13, 19, 31,32 |