Xinfeng Liu
Email:
xfliu@math.sc.edu
Phone: 576-5849
Office Location: LC 317Q
Office Hours: 1:00PM-2:00PM or by appointment
Textbook:
Jerrold E. Marsden and Anthony Tromba, Vector Calculus, 6th Edition.
Prerequisite: A grade C or better in MATH 241.
Learning Outcome:
This course is really an extension and fulfillment of Math 241, and has much the same problem solving
character, but with a little more abstraction. Proofs will be given in class and you are expected to do some
computationally driven proofs on your own. Our primary goal is to understand "Change of Variables" theorem and
the "Big three" Theorems of Green, Stokes and Guass, and how to use them. This course is basically a nice transition
from Calculus to the higher level math courses.
Reading: Reading the textbook
in advance of the lecture is strongly
encouraged. Benefits of this preparation include obtaining a familiarity with the terminology and
concepts that will be encountered (so you can distinguish major points from side
issues), being able to formulate questions about the parts of the presentation that
you do not understand, and having a chance to review the skills and techniques
that will be needed to apply the new concepts.
Important Date: The deadline to drop or withdraw the course
without a WF being recorded is Monday, Oct. 10, 2016.
Course Outline
Tentative Weekly Syllabus of Sections
Covered
| Week |
Dates |
Tuesday |
Thursday |
| 1 |
Aug. 15 -- Aug. 19 |
No Class |
1.3 (Review) |
| 2 |
Aug. 22 -- Aug. 26 |
1.4, 2.3 (Review) |
2.4 (Review) |
| 3 |
Aug. 29 -- Sept. 2 |
2.5, 2.6 (Review) |
4.2, 4.3 (Review) |
| 4 |
Sept. 5 -- Sept. 9 |
4.3, 4.4 (Review) |
5.1, 5.2 (Review) |
| 5 |
Sept. 12 -- Sept. 16 |
5.3, 5.4 (Review) |
5.5 (Review) |
| 6 |
Sept. 19 -- Sept. 23 |
6.1-6.2 (Review) |
Exam 1 |
| 7 |
Sept. 26 -- Sept. 30 |
6.2, 6.3 (Review) |
6.3 (Review) |
| 7 |
Oct. 3 -- Oct. 7 |
6.3 (Review), 7.1 |
Class Cancelled |
| 8 |
Oct. 10 -- Oct. 14 |
7.2 |
Fall Break |
| 9 |
Oct. 17 -- Oct. 21 |
7.2 |
7.3, 7.4 |
| 10 |
Oct. 24 -- Oct. 28 |
7.4 |
Exam 2 |
| 11 |
Oct. 31 -- Nov. 4 |
7.4, 7.5 |
7.6 |
| 12 |
Nov. 7 -- Nov. 11 |
No Class |
7.6, 8.1 |
| 13 |
Nov. 14 -- Nov. 18 |
8.1 |
8.1, 8.2 |
| 14 |
Nov. 21 -- Nov. 25 |
8.2, 8.3 |
Happy Thanksgiving |
| 15 |
Nov. 28 -- Dec. 2 |
8.3, 8.4 |
8.4 |
| Final Exam: Dec. 6, 2016 (Tuesday),
12:30PM-3:00PM
|
Homework and Quiz:
Homework Assignment
Homework will not be collected, but you are supposed to do them all.
REMEMBER: the more problems you do, the better you understand the material.
Students are encouraged to work independently on homework sets.
There will be approximately one quiz per week on Thursday,
and no quiz during the exam weeks.
There are two to four problems for each quiz.
The quiz problems will be either the same as, or very similar to those
from the homework. Thus, if a student has made a good attempt at the
homework, he/she should do well on the quiz.
One lowest quiz grade will be dropped from the final grade calculation.
Exams: There will be two midterm exams and a comprehensive final exam.
Exam 1: Thursday, Sept. 22, 11:40AM - 12:55PM
Exam 2: Thursday, Oct. 27, 11:40AM - 12:55PM
Final Exam: Tuesday, Dec. 6, 12:30PM - 3:00PM
The exams are "closed book" – no books, no notes, no
calculators, no labtop computer or equivalent technology, etc.
There are no early exams. A make-up exam is only possible for
written legitimate documented reasons of illness, family emergency, or participation
in a University sponsored event.
You must take your exams with the lecture for which you are registered.
Grades:
| Exam 1 |
20% |
| Exam 2 |
20%
|
| Final Exam |
35%
|
| Quizzes |
25%
|
| Total |
100%
|
A straight scale will be used
so that A's, B's C's and D's correspond to the percent ranges 100-90,
90-80,
80-70 and 70-60 respectively. Plus grading will be used. For example:
| 90-100:A |
86-89: B+ |
80-85: B |
76-79: C+ |
| 70-75: C |
66-69: D+ |
60-65: D |
0-59: F |
Attendance: Attendance at every class meeting is important - and expected. Students missing
more than 10% of the class meetings (4 days) can have their grade lowered.
Class Files (Check Blackboard)
Academic Dishonesty: Cheating and plagiarism in any form is not tolerated.
If a student is caught cheating, I will follow the guidelines as set
forth in the USC Honor Code and other University guidelines.