Linear algebra (Spring 2009)
Prerequisite: Introduction to Linear Algebra.
Lectures will be given in English 100% of the time.
Time: Tue, Thu 10:30-12:00
Room: E6-2#3435
Lecturer: Mamoru Mimura: mimura@math.okayama-u.ac.jp, E6-1#4405, T.2730.
Lecture assistants:
Jaesoon Ha: hjs83@kaist.ac.kr, E6-1#4423, T.2772.
Course homepage:
http://mathsci.kaist.ac.kr/mathsci_kor/course/mathcafe.php?id=MAS212&group_id=17
Grades: Midterm(150pts) Final(150pts) Quiz(120pts) Class and recitation participation(30pts)
Total(450pts)
Midterm exam: Thursday March 26th, 10:30-13:30, Chapters 1-4.
Final exam: Thursday May 21st, 10:30-13:30, Chapters 5,6,8.
Important notice: Those people who do not take the midterm or final exam will be given F.
Students who do not take 30% or more of quizzes will be given F.
This course begins abstract mathematics and is a good introductions 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 opportunities to develop this mode of
thinking. There are 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.
If you have questions about lectures, please ask your classmates and the lecture assistants and
then finally myself. Also visit the course homepage to ask questions.
We will organize recitation later. We will post the time later.
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
Introduction to fundamental notions in mathematics.
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 8: Inner Product Spaces
Chapter 7: The rational and Jordan forms
Final
Tuesday
2/3
Introduction to fundamental notions
in mathematics and Chapter1
2/10
2.3-2.4
2/17
2.4-2.6
2/24
3.3-3.4
3/3
3.5-3.6
3/10
4.2-4.3
3/17
4.4
3/24
Midterm
3/31
5.1-5.2
4/7
5.4
4/14
6.3
4/21
6.6
4/28
6.8-8.1
5/5
National holiday
5/12
8.5
5/19
Final
*But this is changeable
Thursday
2/5
2.1-2.2
2/12
2/19
2/26
3/5
3/12
3/19
3/26
4/2
4/9
4/16
4/23
4/30
5/7
5/14
5/21
2.4-2.6
3.1-3.3
3.4-3.5
3.7-4.1
4.4
4.5
Midterm
5.3-5.4
6.1-6.2
6.4-6.5
6.7
8.2
8.3-8.4
7.1–7.2
Final
Quizzes: There will be a quiz almost every week. There will be two problems to solve given about 20
minutes. The quiz problems are very similar or identical with the homework problems.
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.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.3.1:p.73:1,3,7,9,
S.3.4:p.95:2,5,7,
S.2.4:p.55:3,4,6.
S.3.2:p.83:1,3,5, p.84:7.
S.3.3:p.86:2,3,
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.3.7:p.115: 1,2,3
S.4.3:p.126:1,2,3.
S.5.2:p.148:1, p.149:8,9,10,
S.6.6:p.213: 1,2,3,8.
S.4.4:p.134:1,2,4,
S.5.3:p.155:2,4,7, p.156:11.
S.6.2:p.189:1,3,5, p.190:6,10,11,
S.6.3:p.198:3,4,6,8.
S.6.7:p.218:1,2, p.219: 4,5,9,
S.8.1:p.275:1,5, p.276:9,10,
S.8.2:p.289:3, 4,7,9,
S.8.4:p308:2, p309:5,7, p310:14, p311:15
S.7.1:p.230:1,2,3, p.231:6,7,
S.7.3:p.250:3,6,7,8,
S.2.6:p.66:1,3,5,
S.4.5:p.139:2,3
S.5.4:p.162:1,3, p.163:7,9,12,
S.6.4:p.205:1,3,4,5,9, p.206:11,12,
S.6.8:p.225:1,2, p.226:5,9
S8.3:p.298:2,3,4,5, p.299:8
S.8.5:p317:2,4,6, p318:12.
S.7.2:p.241:1,2,3, p.242: 4,8,9,p.243:11,12.
S.7.4:p.261:4.