Linear algebra (Spring 2007)

Lectures will be given in English at least 90% of the time.

Time: MWF 11:30-12:00

Room: E-Building 3435

Lecture assistant:
(1) Jaesoon Ha Building E6-1 No. 4423
hjs83 at kaist dot ac dot kr Phone: 2772
(2) Ho-yu Jung
Phone: 2763

 

Important notice: Those people who did not take the midterm exam will be given F. Please
report to me on May 14th 1:00 to explain. (20030476, 20050003, 20050308, 20060032, 20060668, 20060688)

Those people who have very low grades in the exam have to report to me on May 21th 1:00 to
have discussions with me. (20060140, 20000197, 20030367, 20060140, 20060256)

 

Lecturer: Suhyoung Choi at Room E6-4403

schoi at math dot kaist dot ac dot kr

 

 

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.

You will be asked to give answers to the class problems the lecturers will give. The result
will be graded.

30 minutes of the Friday lectures will be normally be an Exercise session, where one solves
homework problems on the blackboard.


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

 

If you have questions about lectures, please ask your classmates and the lecture assistants.

Midterm: April 18th 11:00-13:00

Final: June 13th 11:00-13:00

Grades: Midterm(150pts) Final(150pts) Homework(100pts) Attendance(50pts)
Individual questions (10pts) Exercise meeting(40pts) Total 500pts

 

Introduction to formal mathematical proofs

Chapter 1: Linear equations

Chapter 2: Vector spaces

Chapter 3: Linear transformations

Chapter 4: Polynomials

Chapter 5: Determinants

Midterm

Chapter 6: Elementary canonical forms

Chapter 7: The rational and Jordan forms

Chapter 8: Inner product spaces

Final

 

The teaching homepage:

http://math.kaist.ac.kr/~schoi/teaching.html

Course homepage: math.kaist.ac.kr, math.kaist.ac.kr/~schoi/linearalg2007I.htm

 

Monday

 

Wednesday

 

Friday

 

2/26

 Introduction to  mathematical  systems  and proofs

2/28

 Introduction to  Proofs

3/2

 Introduction to  Proofs

3/5

 1.1.-1.3.

3/7

 1.4,1.5.

3/9

 1.6.  Exercises

3/12

 2.1.-2.3.

3/14

 2.4.-2.5.

3/16

 2.6.  Exercises

3/19

 3.1.

3/21

 3.2.

3/23

 3.3,3.4,  Exercises

3/26

 3.4. 

3/28

 3.5.,3.6..

3/30

 4.1.,4.2.
 Exercises

4/2

 4.1, 4.2.

4/4

 4.2.

4/6

 4.3. Exercises

4/9

 4.4

4/11

 4.5

4/13

 Q&A session

4/16

Midterm

4/18

Midterm

4/20

Midterm

4/23

5.1. 

4/25

 5.2.

4/27

 5.3.  Exercises

4/30

 5.4.

5/2

 6.1, 6.2.

5/4

 6.3. Exercises 

5/7

 6.3.

5/9

 6.4.

5/11

 6.4 Exercises

5/14

6.4.

5/16

 6.6. 6.7

5/18

 6.7. Exercises

5/21

 6.8.

5/23

 6.8.

5/25

 7.1.,7.2. Exercises

5/28

 7.3.

5/30

 7.3.,7.4.

6/1

8.1. Exercises

6/4

 8.2.

6/6

Holiday

6/8

 8.3.

6/11

Final

6/13

Final

6/15

Final

 

 

 

 

 

 

 

 Lecture note for mathematical logic odd pages and even pages

 

Lecture notes 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17

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.

Homeworks: A set of homework problems will be given on each Friday and they are due on
Thursday 5:00 pm the next week. The points of the late homework will be taken off by 20% per day.
The homework is to be submitted to the 2nd floor homework box or to the TAs.


No homework for 2/26-3/2 week.

HW 1. (DUE March 15th) p.5: 2, 3, 5, p. 10: 1, p.11: 4, 5, p.16: 5, 9, p.21: 4, 5, 6, p.26, 2, p.27: 5, 6, 8.

HW 2. (DUE March 22nd) p.33: 1, p.34: 4, p.39: 3, p.40: 5,8, p.48:4,7, p.49:11, p.55:4,6, p.66:3,5,6.

HW 3. (DUE March 29th) p.73: 1,7,9, p.83: 1,2,5, p.84:7,9, p.86: 2,3,5

HW 4. (DUE April 5th) p.95:1,5,6, p.96:8,12, p.105:1,4, p106:10,11, p.111:1,2

HW 5. (DUE April 17th Tuesday 5:00 pm) p.122:1, p.123:3,4,7,9, p.126:2,3, p.134:1,2,4, p.139:1,3,4

HW 6. (DUE  May 3rd 5:00 pm)  p.148:1, p.149:6,9,10, p.155:2,4,8, p.156:11

HW 7. (DUE May 17th) p. 162:3, p.163:7,9,12, p.189:1,4,5, p.190:9,10, p.198:2,3,5,7

HW 8. (DUE May 24th) p.205:1,4,6,9, p.213:1,3,8,9,11 

HW. 9. (DUE May 31st) p.218:2, p.219:4,5,6, p.225:1,2,4, p.226:5,8,9

HW. 10. (DUE June 12th) p.230:2,3, p.231:7, p.241:1,3, p.242:7,9,10, p.243:12, p.250:3,6,8, p.261:4, p.275:5,6,
p.276:11, p.289:2,4,6, p.298: 3,5,6, p.299: 8