Math 21104: Linear Algebra,
Fall 2015
Instructor: ChiKwong Li
Meeting time and place: TT 11:00 a.m.  12:20 p.m. Jones 301
Office: Jones 128, Tel: 2212042
Email: ckli@math.wm.edu, http://cklixx.people.wm.edu
Office hours: TWR 9:00  10:00 am or by
appointments.
Course description:
The goal of the course is to equip students with elementary techniques in linear algebra.
The course will cover the following sections:
1.1  1.5, 1.71.9, 2.1  2.5, 3.1  3.3, 4.1  4.7 (covering 2.8, 2.9), 5.1  5.4, 6.16.5,
and sectlected material from the rest of the following required textbook.
(I need to update the following based on the new edition of the book.)

David C. Lay, Linear Algebra and its applications,
Fourth edition, Addison Wesley, New York, 2012.
Warning
In addition to teaching HOW to use linear algebraic techniques, I will also
emphasize WHY the tecchniques work.
So, it might be more demanding than some other sections.
Homework
 There will be weekly homework due on Tuesday 5:00 p.m.
 Homework sessions will be conducted on Monday, 2:003:00 p.m. Jones 113.
 You are encouraged to use LaTex to typset mathematical document,
an excellent skill to acquire.
 Extra 10% homework scores will be given to LaTex solution.
 You may get the TeX program for free.
 For windows, you may
(a) download the MikTex program from http://miktex.org/download;
(b) 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;
extracredits will be given to successful (or partially successful)
attempts.
Assessment
Quizzes (10 min. each) on Sept. 3, 10, 17, 24, Oct. 1, 22, 29. Nov. 5, 12, 19, 26. Dec. 3.
(Quizzes on Thursday will be based on problems in the homework due on Tuesday.)
Exams: Midterm Oct. 8 1:20 hrs (11:0012:20)
Final Dec. 11 3 hrs (14:0017:00)
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 Midterm Final
20% 20% 25% 35%
(Extra credit problems may add another 5%)
Sample exams/exams and solutions.
Class notes, Quiz solution, and additional references
 Notes on 1.1  1.2.
[ pdf file ]
Some websites about the Chinese methods (basically, Gaussian elimination)
in solving linear systems.
 http://hom.wikidot.com/cramersmethodandcramersparadox
 http://aleph0.clarku.edu/~djoyce/ma105/simultaneous.html
 http://sigmaa.maa.org/rume/crume2010/Archive/Larson.pdf
 http://rhart.org/algebra/
 http://www.math.uiuc.edu/documenta/volismp/10_yuanyaxiang.pdf
 Notes on 1.3 & 1.5.
[ pdf file ]
 Notes on 1.7 & 1.9.
[ pdf file ]
 Notes on 2.1 & 2.2.
[ pdf file ]
 Notes on 2.3  2.5.
[ pdf file ]
 Notes on 3.1  3.3.
[ pdf file ]
 Notes on 4.1  4.3.
[ pdf file ]
 Notes on 4.4  4.7.
[ pdf file ]
 Notes on 5.1  5.5.
[ pdf file ]
 Notes on Chapter 6
[ pdf file ]
Homework List
 Homework 1. (Due: 1 Sept., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 2. (Due: 8 Sept., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 3. (Due: 15 Sept., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 4. (Due: 22 Sept., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 5. (Due: 29 Sept., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 6. (Due: 6 Oct., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 7. (Due: 20 Oct., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 8. (Due: 27 Oct., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 9. (Due: 3 Nov., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 10. (Due: 10 Nov., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 11. (Due: 17 Nov., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 12. (Due: 24 Nov., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 13. (Due: 1 Dec., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]
 Homework 14 (Extra credites). (Due: 8 Dec., 5:00 pm)
[ pdf file 
TeX file 
Sample solution. ]