Linear Algebra (MAS 212B)

 

Tuesday: 10:30~11:45

Thursday: 10:30~11:45

 



Instructor: Suhyoung Choi

TA: to be anounced

Mail: schoi at math kaist ac kr

Course Homepage: mathsci.kaist.ac.kr/~schoi/LinearAlgebra2021S.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: We will divide the class into teams by the last digit of the student ID number. After the 3rd week, we will regroup if necessary
•    The quiz is given in the beginning for 20 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. The quiz will be proctored by Zoom. The method of proctoring will be posted in the KLMS.     
•    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 Zoom by sharing screens        and present the solutions. One needs to upload the final solution within seven days to the folder in the OneNote cloud that we provide. 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, 김응태,박승안공저, 경문사

 


 

Grades and so on:
You must join MAS212B  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 detailed one can be downloaded here. (The lecture notes will be updated many times in the semester.)

 

Week

Date

 Lecture plan

 

 1

Mar. 2, 4

1.1. -1.6 review of fields, matrices

 

 2

Mar. 9, 11  

2.1.-2.6 Vector spaces

 

 3

Mar.16, 18

3.1.-3.4. Linear transformations

 

 4

Mar. 23, 25

3.5.-3.7 Linear transformations

 

5 Mar. 30, April 1 4.1.-4.3. Polynomials  

 6

April 6,8

4.4.-4.5. Polynomials

 

 7

April 13, 15

5.1.-5.4 Determinants

 

 8

April 20, 22

 

Midterm period
Thursday 9:00~11:45

 9

April 27, 29

6.1.,6.2. Elementary Canonical forms

 

 10

May 4, 6  

6.3.,6.4 Elementary Canonical forms

skip 6.5

 11

May 11, 13

6.6.-6.8.

 

 12

May 18, 20

7.1., 7.2.

 

 13

May 25, 27 

7.3., 7.4.

 

 14

June 1, 3

8.1.-8.3.


 15

June 8, 10

8.4.,8.5.

 

 16

June 15, 17

 

Final exam period
Thursday 9:00~11:45