Linear algebra (Fall 2007)
Lectures will be given in English at least 90% of the time.
Time: T,Th 10:30-12:00
Room: E-Building 3435
Lecture assistant:
(1) Jaesoon Ha Building E6-1 No. 4423
hjs83 at kaist dot ac dot kr Phone: 2772
(2) Dhruba Choudhury Building E6-1 No. 4423
druba.choudhury at kaist do ac do kr Phone 2772
Important notice: Those people who do not take the midterm or final
exam will be given F.
Students who do not turn in 30% or more of reports will be given F.
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
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. I wrote and linked some help at
http://math.kaist.ac.kr/~schoi/teaching.html
There are sample exams there also.
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.
We will organize exercise sessions 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
If you have questions about lectures, please ask your
classmates and the lecture assistants and then finally myself.
Also, the web site to ask questions are at mathsci.kaist.ac.kr. A help desks in
the 1st floor also available in the evening.
Grades: Midterm(150pts) Final(150pts) Homework(100pts)
Attendance(50pts)
Individual questions (10pts) Exercise meeting(40pts) Total 500pts
Midterm exam: Thursday October 25 10:30-13:30. (3 hour exam) Chapters 1-4.
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/linearalg2007II.htm
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Final |
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Old lecture note for mathematical logic odd pages and even pages
Old lecture notes 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17
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.
Homeworks: A set of homework problems will be given on each
Thursday and they are due on
Wednesday 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.
HW #1(DUE Sept.12): p.5:1,4,5, p.10:2,p.11:4,8,p.16:4,6,p.21:1,6,p.26:3,6,7
HW #2(DUE Sept.19) p.33:1, p.34:4,6, p.39:1,2, p.40:6,8, p.48:2,3,6, p.49:11
HW #3(DUE Sept.27, Thursday 5:00pm) p.55:3,4,6, p.66:1,3,5, p.73:1,3,7,9.
HW #4(DUE Oct. 10) p.83:1,3,5, p.84:7, p.86:2,3, p.95:2,5,7, p.105:1,2,4,7, p.106:9,11,12.
HW #5(DUE Oct. 17) p.111: 1,2, p.123:2,4,7,9, p.126:1,2,3, p.134:1,2,4
HW #6(DUE Oct. 24) p.139:2,3
HW #7(DUE Nov. 7) p.148:1, p.149:8,9,10, p.155:2,4,7, p.156:11, p.162:1,3, p.163:7,9,12
HW #8(DUE Nov. 14) p.189: 1,3,5, p.190:6,10,11, p.198:3,4,6,8
HW #9(DUE Nov. 21) p.205:1,3,4,5,9, p.206:11,12.
HW #10(DUE Nov. 28) p.213: 1,2,3,8, p.218:1,2, p.219: 4,5,9, p.225:1,2, p.226:5,9
HW #11(DUE Dec. 5) p.230:1,2,3, p.231:6,7, p.241:1,2,3
HW #12(DUE Dec. 12) p.242: 4,8,9, p.243:11,12, p.250:3,6,7,8, p.261:4.
HW #13(DUE Dec. 19) P.275:1,5, p.276:9,10, p.289:3, 4,7,9, p.298:2,3,4,5, p.299:8
