Math 214: Foundations of Higher Mathematics,
Spring 2013
Instructor: Chi-Kwong Li
Meeting time and place: TT 12:30 - 1:50 p.m. Jones 306
Office: Jones 128, Tel: 221-2042
E-mail: ckli@math.wm.edu, http://cklixx.people.wm.edu
Office hours: TWT 11:00 a.m. - noon p.m. or by
appointments.
Course description:
The goal of the course is to equip students with the mathematical background to study
advanced courses, which require abstract thinking and to understand
and write proofs for mathematical statements.
The course will cover the first 12 chapters (Chapter 0 - 11, yes, starts from 0!) of
the following required textbook.
-
G. Chartrand, A.D. Polimeni, P. Zhang, Mathematical Proofs, A transition to advanced mathematics,
3rd Edition. Addison Wesley, New York, 2008.
http://www.amazon.com/Mathematical-Proofs-Transition-Advanced-Mathematics/dp/0321797094
Homework will be assigned every lecture and due the following Wednesday (noon).
Homework sessions will be conducted on Tuesday, 2:00-3:00 p.m. Jones 131.
You will learn how to use LaTex to typset mathematical document,
an excellent skill to acquire. You may get the programs for free.
- For windows, you may download the MikTex program from http://miktex.org/download;
then download the Texmaker program from http://www.xm1math.net/texmaker/download.html.
-
For Mac users, you may download MacTex from http://tug.org/mactex/.
- You may also use the online editor
Write LaTeX .
- Here is
a list of TeX commands for mathematics symbols.
Challenging problems will be assigned from time to time;
extra-credits will be given to successful (or partially successful)
attempts.
Assessment
Quizzes (20 min. each) on Jan. 31, Feb. 14, March 21, April 4, 18.
Exams: Mid-term Feb. 28 1:20 hrs (12:30-1:50 a.m.)
Final May 8 3 hrs (9:00 a.m.- noon)
Grades (for homework, quizzes, exams, final grade, etc.):
%: 0 - 60 - 65 - 70 - 75 - 80 - 83 - 87 - 90 - 93 - 100
F D C- C C+ B- B B+ A- A
Assessment: Homework Quizzes Mid-term Final
20% 20% 25% 35%
(Extra credit problems may add another 5%)
Homework list
- Homework 1. Due Jan. 23, noon.
[ pdf file |
tex file |
solution ]
- Homework 2. Due Jan. 30, noon.
[ pdf file |
tex file |
solution ]
- Homework 3. Due Feb. 6, noon.
[ pdf file |
tex file |
solution ]
- Homework 4. Due Feb. 13, noon.
[ pdf file |
tex file |
solution ]
- Homework 5. Due Feb. 22, noon.
[ pdf file |
tex file |
solution ]
- Homework 6. Due Mar. 15, noon.
[ pdf file |
tex file |
solution ]
- Homework 7. Due Mar. 22, noon.
[ pdf file |
tex file |
solution ]
- Homework 8. Due Mar. 29, noon.
[ pdf file |
tex file |
solution ]
- Homework 9. Due April 5, noon.
[ pdf file |
tex file |
solution ]
- Homework 10. Due April 12, noon.
[ pdf file |
tex file |
solution ]
- Homework 11. Due April 19, noon.
[ pdf file |
tex file |
solution ]
Notes
Review questions for examinations