Linear algebra (Spring 2008)
Time: M,W,F 13:00-14:00
Exams: Wednesday 13:00-15:00 (2 hours)
Lecture assistant:
(1) Jaesoon Ha: Building E6-1 No. 4423
hjs83 at kaist dot ac dot kr Phone: 2772
(2) Dhrubajit Choudhury: Building E6-1 No. 4423
druba.choudhury at kaist do ac do kr Phone 2772
Grade distributions: A:30%, B:40%, C or below 30%. (I will include
the people who drop the course.)
Lecturer: Suhyoung Choi at Room E6-4403
schoi at math dot kaist dot ac dot kr
This course begins abstract mathematics and is a good
introduction to all the methods of
modern abstract mathematics. This course is your finest initiation into
abstract thinking which you won’t find
in any other course in the universities today. So take this opportunity to
develop this mode of
thinking. I wrote and linked some help at
http://math.kaist.ac.kr/~schoi/teaching.html
This course concentrates on justifying the linear algebra
theorems and procedures with
proofs, definitions and so on. You will learn to prove some theorems here.
(A part of the purpose of this course is to introduce you to proving theorems,
lemmas,
and corollaries.)
You are expected to have prepared for the lecture by
reading ahead and solving
some of the problems.
Course Book: Linear algebra 2nd Edition by Hoffman and Kunz Prentice Hall
Helpful references:
Paul R. Halmos, Finite dimensional vector spaces, UTM,
Springer (mostly theoretical)
B. Hartley, Rings, Modules, and Linear Algebra, Chapman and Hall
Larry Smith, Linear Algebra, 2nd Edition, Springer (Similar to our book, But
fields are either the real field or
the complex field.)
Seldon, Axler, Linear algebra done right, Springer (Similar, Same field
restriction as above)
S. Friedberg et al., Linear algebra 4th Edition, Prentice Hall (Most similar to
our book. More
concrete. weak in theoretical side.)
Gilbert Strang, Introduction to Linear Algebra, Wellesley-Cambridge
Press, MA, USA
Two Korean books of almost the same content as Hoffman-Kunz:
선형대수학, 3판 김응태,박승안공저, 청문각 2000
선형대수학,개정3판,임근빈,임동만공저, 형실출판사2006
Grades: Midterm(150pts) Final(150pts) Quiz (100pts) Class
participation (50pts)
Total 450pts
Exams will be given according to the KAIST schedule. There
are old exams at math.kaist.ac.kr/~schoi/teaching.html.
Quizzes: There will be a quiz almost every week. There will
be one or two problems to solve
given 20 minutes. The quiz problems are very similar or identical with the
homework problems.
One should prepare for them by groups of students working on homework problems
together.
The homework problems are not to be turned in.
Points will be given to the questions pertinent to the materials that we are
learning.
30 points will be given to answering teacher questions which will be evenly
distributed to the students
and 20 points will be given to asking question. If you don’t ask questions,
then you will be given 0 points here.
Introduction to formal mathematical proofs
Chapter 1: Linear equations
Chapter 2: Vector spaces
Chapter 3: Linear transformations
Chapter 4: Polynomials
Midterm
Chapter 5: Determinants
Chapter 6: Elementary canonical forms
Chapter 7: The rational and Jordan forms
Final
The teaching homepage:
http://math.kaist.ac.kr/~schoi/teaching.html
Course homepage: mathsci.kaist.ac.kr, math.kaist.ac.kr/~schoi/linearalg2008I.htm
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Monday |
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Wednesday |
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Friday |
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2/11 |
2/13 |
2/15 |
1.3,1.4. |
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2/18 |
1.5,1.6. |
2/20 |
1.6. |
2/21 |
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2/25 |
2.2 |
2/27 |
2.3 |
2/29 |
2.3. |
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3/3 |
2.4., 2.5. |
3/5 |
2.5, 2.6. |
3/7 |
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3/10 |
3.2. |
3/12 |
3.3. |
3/14 |
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3/17 |
3/19 |
4.1,4.2. |
3/21 |
4.3. |
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3/24 |
3/26 |
3/28 |
4.5. |
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3/31 |
midterm |
4/2 |
midterm |
4/4 |
midterm |
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4/7 |
4/9 |
5.2 |
4/11 |
5.3. |
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4/14 |
5.4. |
4/16 |
4/18 |
6.3. |
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4/21 |
6.4. |
4/23 |
6.4. |
4/25 |
6.6. |
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4/28 |
6.7. |
4/30 |
6.8. |
5/2 |
6.8, 7.1. |
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5/5 |
holiday |
5/7 |
5/9 |
7.2. |
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5/12 |
holiday |
5/14 |
7.2. |
5/16 |
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5/19 |
7.3. |
5/21 |
7.4. |
5/23 |
7.4. Q&A session |
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5/26 |
final |
5/28 |
final |
5/30 |
final |
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Old lecture note for mathematical logic odd pages and even pages
I will be attempting to write new lectures notes in ppt files and post them here.
MIT Linear algebra
class (with recorded lectures)
There are
many Java applets to play around here. See demos. Lectures are given by Gilbert
Strang, the author
of one of the
textbooks above. This is more for engineers but has many worthy advanced
applied
mathematics
in it. This course corresponds to the introduction to linear algebra course,
one level below this one
MIT Linear algebra class (This correspond to our course exactly.)
Harvard Linear algebra class (correspond to our course)
Homework sets: Do not turn in your works but you should
know how to solve these problems.
For quizzes, the teaching assistants will make problems similar to these. The
best way is
to study the problems that were taught on that day.
S.1.2:p.5:1,4,5, S.1.3:p.10:2,p.11:4,8, S.1.4: p.16:4,6,
S.1.5: p.21:1,6, S.1.6: p.26:3,6,7, S.2.1:p.33:1, p.34:4,6, S.2.2: p.39:1,2, p.40:6,8,
S.2.3:p.48:2,3,6, p.49:11, S.2.4:p.55:3,4,6.
S.2.6:p.66:1,3,5, S. 3.1:p.73:1,3,7,9, S.3.2:p.83:1,3,5, p.84:7.
S.3.3:p.86:2,3,S.3.4:p.95:2,5,7, S.3.5:p.105:1,2,4,7, p.106:9,11,12.
S.3.6: p.111: 1,2, S.4.2: p.123:2,4,7,9, S.4.3:p.126:1,2,3.
S.4.4:p.134:1,2,4, S.4.5:p.139:2,3
S.5.2:p.148:1, p.149:8,9,10, S.5.3:p.155:2,4,7, p.156:11.
S.5.4:p.162:1,3, p.163:7,9,12, S.6.2:p.189:1,3,5, p.190:6,10,11, S.6.3:p.198:3,4,6,8.
S.6.4:p.205:1,3,4,5,9, p.206:11,12, S.6.6:p.213: 1,2,3,8.
S.6.7:p.218:1,2, p.219: 4,5,9, S.6.8:p.225:1,2, p.226:5,9
S.7.1:p.230:1,2,3, p.231:6,7, S.7.2:p.241:1,2,3, p.242: 4,8,9,p.243:11,12. (13th and 14th week together)
S.7.3:p.250:3,6,7,8, S.7.4:p.261:4.
