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. |
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