Linear Algebra (MAS 212)

 

Tuesday: 13:00~14:30 / (E6)Natural Science Bldg. [ 산경동 ] (E2-1225)

Thursday: 13:00~14:30 / (E6)Natural Science Bldg. [ 산경동 ] (E2-1225)

 



Instructor: Suhyoung Choi

TA: Hongtaek Jung

Mail: schoi at math kaist ac kr

Course Homepage: mathsci.kaist.ac.kr/~schoi/LinearAlgebra2019S.html

 

This is an EDUCATION 4.0 course. (For more details, see CELT.)

•    The lectures will be given by videos posted in klms.kaist.ac.kr each week. One is automatically subscribed to this course in klms.kaist.ac.kr.
•    Lecture notes will be also posted in klms.kaist.ac.kr.
•    You will listen to about 2 lectures each week and read corresponding parts of the books.

The class:
•    The students with an odd student id number will attend the Tuesday classes and ones with an even id number will attend the Thursday classes.
(The team will be divided on the first week by the last digit of the student ID number. After the 3rd week, we will regroup if necessary. However, if the number of students are small we may have only one class per week.)
•    The quiz is given in the beginning for 15 minutes from the second week. It will cover the lecture material for the previous week and the present week's material. Hence, it has two parts.
•    Then we will have a Q&A time for the video lecture materials.
•    After quiz, we will be doing discussions in teams of 5-6 students helped by TAs. (Teams to be organized by us and posted on klms.) One person from the team will solve the problems on the whiteboards and present the solutions. The answers will be graded by TAs. The grades will be for the teams. The discussion topics or problems will be chosen by the instructor. The discussions will be either on the text exercise problem or to doing the proofs for some results in the book., which I may or may not have discussed in the videos. You have to turn in your report of the discussion at KLMS. Here, you can correct your mistakes in class presentations.

 

Course summary:
We cover theoretical parts of linear algebra ending with cyclic decomposition theorems. Many state of art computer engineering uses ideas from linear algebra. These are essential tools in mathematics and other fields of 21st century. However, these are not applied linear algebra. But you will gain important ability to understand applied linear algebra.

Chapter 1: Linear equations
Chapter 2: Vector spaces
Chapter 3: Linear transformations
Chapter 4: Polynomials
Chapter 5: Determinants
Chapter 6: Elementary canonical forms
Chapter 7: The rational and Jordan forms

 


Texts:

Linear algebra 2nd Edition by Hoffman and Kunz Prentice Hall
- Auxiliary textbook: Korean books with similar contents (They may not be available.)
선형대수학, 3판 김응태,박승안공저, 청문각 2000
선형대수학개론, 정필용, 한성호, 청문각 2004
선형대수학,개정3판,임근빈,임동만공저, 형실출판사2006

 


 

Grades and so on:
You must join MAS212 in KLMS. All of the activity will take place there.

The midterm and the final will be replaced by quizzes and discussions.

Quizzes will be done individually.

Grades Distributions:
Attendance 10%, Quiz 50%, Discussions 40% (class 35% + report 5%) (no midterm, no final exam)

(We can allow you to miss at most a few classes but there will be some renormalization formula.)

 

Course schedules:

 (The lecture notes will be updated many times in the semester.)

 

Week

Date

 Lecture plan

 

 1

Feb. 26, 28

1.1. -1.6 review of fields, matrices

 

 2

Mar. 5, 7 

2.1.-2.6 Vector spaces

 

 3

Mar.12, 14

3.1.-3.4. Linear transformations

 

 4

Mar. 19, 21

3.5.-3.7 Linear transformations

 

5 Mar. 26, 28 4.1.-4.3. Polynomials  

 6

April 2, 4

4.4.-4.5. Polynomials

 

 7

April 9, 11

5.1.-5.4 Determinants

 

 8

April 16, 18

 

Midterm period
Tue: 13:00~15:45

 9

April 23, 25

6.1.,6.2. Elementary Canonical forms

 

 10

April 30,
May 2

6.3.,6.4 Elementary Canonical forms

skip 6.5

 11

May 7, 9

6.6.-6.8.

 

 12

May 14, 16

7.1., 7.2.

 

 13

May 21, 23

7.3., 7.4.

 

 14

May 28, 30

8.1.-8.3.


 15

June 4, 6

8.4.,8.5.

June 6th holdiay

 16

June 11, 13

 

Final exam period
Tue: 13:00~15:45