Math 321, Vector Analysis

Section 001 (#33022), Spring, 2008

MW, 9:30am-10:45am, EMS E228

Text: Vector Calculus, 5th ed, by Marden and Tromba

Prerequisites: jr st, Math 233(P) & Math 234(P) or ElecEng 234(P); or grad st.

 

Instructor: Dr. Zou, Yi Ming

Office: EMS E491, Office Phone: 414-229-6886, email: ymzou@uwm.edu,

Home page: http://www.uwm.edu/~ymzou/

Office Hours: Monday 10:50am-11:20am, Tuesday 10am-11am,

                       Wednesday 2:50pm-3:20pm, and by appointment

 

Material to be Covered and Approximate Schedule:

    This course has overlaps with Math 233, and we will treat some of the material that covered in Math 233 as reviews with a faster pace. Chapter 8 contains several classical vector analysis theorems which are either not covered or only touched briefly in Math 233 depending on the instructors, so we must work efficiently to leave sufficient time for these theorems.

 

    Weeks 1-3, 1/22-2/8, Chapter 1 and Chapter 2.

    Weeks 4-6, 2/11-2/29, Chapter 3 and Chapter 4.    Exam 1, Wednesday, 2/13.

    Weeks 7-8, 3/3-3/14, Chapter 5.                           Exam 2, Wednesday, 3/12.

    Spring recess, 3/16-3/23.

    Weeks 9-10, 3/24-4/4, Chapter 6.                         Exam 3, Wednesday, 4/16.

    Weeks 11-15, Chapter 7 and Chapter 8.               Exam 4, Wednesday, 5/7.

 

Grading Policy: The  exams will be 100 points each. The maximum total score is 400 points. Your final grade will be assigned according to your percentage out of these 400 points as follows:  A,  360 (90%); A-,  340 (85%); B+,  320 (80%);  B,  300 (75%); B-,  280 (70%); C+,  260 (65%); C,  240 (60%); C-,  220 (55%); D+,  200 (50%); D, 180 (45%); D-,  160 (40%).

 

Homework: Homework will not be collected, it is your responsibility to try all the assigned homework problems. Time will be given for questions and discussions related to homework and course material during each class meeting. The exams will based on homework problems: each exam will have problems taken directly from homework and some additional problems that are of a similar type.

 

Special Notes: 

1) You are expected to take the exams at the scheduled times.  In fairness to all the students of the class, a missed exam may be re-scheduled only if it is due to circumstances out of your control, and you need to provide a valid written excuse (such as a statement from your doctor).

2) University/Dept policy: Under no circumstances should a student be allowed to do “extra work” in order to improve his/her grade unless every member of the class is given the same opportunity. Follow this link for University of policies: http://www.uwm.edu/Dept/SecU/policies.html

3) Monday, 2/18 is the last day to drop without a “W” on record and Friday, 3/14 is the last day to drop.

4) If you are a student with a disability, please feel free to contact me early in the semester for any help you may need.

 

 

Homework Problems

 

1.1  (pp. 21-23): 9, 12, 15, 17, 20, 21.

1.2  (pp. 36-38): 6, 15, 17, 18.

1.3  (pp. 61-65): 2, 6, 7, 9, 15, 16, 25, 27.

1.4  (pp. 72-74): 2, 3, 6, 7, 10.

1.5  (pp. 86-88): 1, 2, 7, 9, 12.

 

2.1 (pp. 105-107): 1, 7, 9, 12.

2.2 (pp. 125-127):  1, 3, 5, 8.

2.3 (pp. 139-141): 1, 3, 4, 7, 8.

2.4 (pp. 149-150): 1, 3, 5, 7, 11, 15, 17.

2.5 (pp. 159-163): 1, 3, 5, 9, 15.

2.6 (pp. 171-173):  1, 3, 5, 6, 8, 13, 25.

 

3.1 (pp. 191-193): 3, 9, 19.

3.2 (pp. 202-203): 1, 3, 5.

3.3 (pp. 222-225): 1, 3, 5, 7, 31, 34.

3.4 (pp. 243-246): 1, 5, 7, 11.

 

4.1 (pp. 273-274): 3, 4, 5, 9, 17.

4.2 (pp. 281-284): 1, 3, 9.

4.3 (pp. 293-294): 1, 5, 9, 15.

4.4 (pp. 310-313): 1, 3, 9, 14, 17, 25.   

 

5.1 (pp. 325-327): 1, 2, 7, 10.

5.2 (pp. 339-340): 1, 3, 4.

5.3 (pp. 347-348): 1, 6, 7, 8.

5.4 (pp. 353-354): 1, 2, 10, 11.

5.5 (pp. 363-365): 1, 3, 14, 16.

 

6.1 (pp. 375-376): 1, 2, 3, 7, 10, 11.

6.2 (pp. 390-393): 1, 2, 6, 11, 13, 18.

 

7.1 (pp. 427-429): 1, 2, 3, 4, 7, 11.

7.2 (pp. 447-451): 1, 2, 3, 6, 14, 15.

7.3 (pp. 459-460): 1, 2, 4, 5, 10.

7.4 (pp. 471-474): 3, 5, 13, 17.

7.5 (pp. 480-483): 1, 3, 7, 8, 11.

7.6 (pp. 497-500): 1, 3, 5, 6, 11, 16

 

8.1 (pp. 528-531): 1, 3, 10, 11.

8.2 (pp. 547-550): 1, 3, 7, 9, 11, 25.

8.3 (pp. 558-561):  2, 3, 6, 7, 9, 13, 18.

8.4 (pp. 573-576):  1, 3, 6, 10, 16, 18