Syllabus

 

교과목명

선형대수학

학수번호

GEDB003-42

사용언어

English

영역구분

교양.기초

수강대상학부

all

이수구분 

교양.기초

학점/시간

3학점 / 3시간

인증구분 년도/학기

 201*/* 학기

강의실

기초학문관 1층 017【51155】

수업시간

화,목 10:30~11:45

담당교수 명

이상구 교수

연락처(연구실)

031-290-7025

E-Mail 

sglee@skku.edu

교과목 개요

We will cover : Vectors, geometric, norm, vector addition, dot product, equality, application of angle between vectors as measure of genetic distance Systems of linear equations and Gauss-Jordan elimination, Matrices, inverses, diagonal, triangular, symmetric, trace, geographical distribution, probability matrices, and application to colour. LT.

Determinants, evaluation by row operations and Laplace expansion, properties, vector cross products, eigenvalues and eigenvectors, Differential equations, system of first order linear equations, applications to population dynamics, linear second order equations. Jordan canonical Forms.

You may refer :

http://matrix.skku.ac.kr/CLAMC/index.html

http://matrix.skku.ac.kr/2011-sage/sage-la/

http://www.youtube.com/watch?v=97qI2yQC5Gs

교과목 목표

 We will discuss many interesting problems from textbook and other in English. This will be an introduction to linear algebra, including matrix operations, systems of linear equations, vector spaces, subspaces, bases and linear independence, eigenvalues and eigenvectors, diagonalization of matrices, linear transformations, determinants.

 If you have any conflict with it, I would recommend to take other class. All Quiz problems will be given in English.

Linear Algebra with Sage (동영상 강의)

※ Made by Prof. SGLee at Sungkyunkwan Univ.

SKKU Linear Algebra with Sage

강좌명

선형대수학

담당교수

sglee@skku.edu 

Ch.

주제

section

내용

 동영상 강의자료

0

 

 

Preface

http://youtu.be/CbfJYPCkbm8

Introduction 

of CAS

http://youtu.be/0SQpiNe2LU8

1

벡터

1-1

Vector

http://youtu.be/85kGK6bJLns

1-2

Norm

http://youtu.be/g55dfkmlTHE

1-3

Vector

Equations

http://youtu.be/YB976T1w0kE

2

선형연립방정식

2-1

LSE

http://youtu.be/AAUQvdjQ-qk

2-2

RREF

http://youtu.be/HSm69YigRr4 

2-3

Appl of LSE

http://youtu.be/G790BLDSK5g

3

행렬과 행렬대수

3-1

Matrix

http://youtu.be/JdNnHGdJBrQ

3-2

Inverse Matrix

http://youtu.be/yeCUPdRx7Bk

3-3

Elementary

Matrix

http://youtu.be/oQ2m6SSSquc

3-4

Subspace

http://youtu.be/UTTUg6JUFQM

3-5

Solutions Set

http://youtu.be/O0TPCpKW_eY

3-6

Special

Matrices

http://youtu.be/jLh77sZOaM8

3-7

LU-

Factorization

http://youtu.be/lKJPnLCiAVU

3-8

Theorem of

Triangular

matrix

http://youtu.be/UriXEI-xoRk

4

행렬식

4-1

Determinant

http://youtu.be/Vf8LlkKKHgg

http://youtu.be/_3WRlwDUU9Y

4-2

Cofactor

Expansion

http://youtu.be/m6l2my6pSwY

4-3

Cramer's Law

http://youtu.be/m2NkOX7gE50

4-4

Appl of

Determinant

http://youtu.be/KtkOH5M3_Lc

4-5

Eigenvalue &

Eigenvector

http://youtu.be/96Brbkx1cQ4

5

행렬모델

5-1

Power Method

http://youtu.be/CLxjkZuNJXw

5-2

Encryption

http://youtu.be/umTIADxsEq8

5-3

Blackout Game

http://youtu.be/_bS33Ifa29s

5-4

Markov Chains

http://youtu.be/156ezier6HQ

5-5

Google Matrix

http://youtu.be/WNUoXLh8i_E

5-6

Project

http://youtu.be/coNq48CW6Pg

6

선형변환

6-1

Linear

Transformation

http://youtu.be/Yr23NRSpSoM

6-2

Linear Operator

http://youtu.be/12WP-cb6Ymc

6-3

Kernel

http://youtu.be/H-P4lDgruCc 

6-4

Composite 

and Inverse

http://youtu.be/qfAmNsdlPxc

6-5

Computer Graphic

http://youtu.be/VV5zzeYipZs

7

차원과 부분공간

7-1

Basis Dimension

http://youtu.be/172stJmormk 

7-2

Fundamental

Subspaces

http://youtu.be/dWoq2YVsy-g

7-3

Rank Nullity

Theorem

http://youtu.be/8P7cd-Eh328

http://youtu.be/bM-Pze0suqo

Proof of

Rank-Nullity

Theorem

http://youtu.be/f3P4gfDVd8M

7-4

Rank Theorem

http://youtu.be/BKZwJiuEYZE

7-5

Projection

Theorem

http://youtu.be/Rv1rd3u-oYg

Proof of

Schur Theorem

http://youtu.be/lL0VdTStJDM

7-7

Gram-Schmidt

ON Process

http://youtu.be/EBCi1nR7EuE

7-9

Coordinate vectors

http://youtu.be/tdd7gbtCCRg

8

행렬의 대각화

8-1

Matrix of LT

http://youtu.be/jfMcPoso6g4

8-2

similarity

http://youtu.be/MnfLcBZsV-I

8-3

OrthoDiag

http://youtu.be/B—ABwoKAN4

8-4

Quadratic Ft

http://youtu.be/lznsULrqJ_0

8-5

Appl of

Quadratic Function

http://youtu.be/cOW9qT64e0g 

8-6

Singular Value

Decomposition

http://youtu.be/7-qG-A8nXmo 

8-7

Complex matrix

http://youtu.be/Ma2er-9LC_g

8-8

Hermitian matrix

http://youtu.be/GLGwj6tzd60

9

일반벡터공간

9-1

Vector Spaces

http://youtu.be/beXWYXYtAaI

9-2

Inner product

spaces

http://youtu.be/nIkYF-uvFdA

9-3

Isomorphism

http://youtu.be/Y2lhCID0XS8

10

Jordan 표준형

(with Sage)

10-1

Jordan

Canonical Form

http://youtu.be/NBLZPcWRHYI

10-3

Jordan

Canonical Form

with Sage

http://youtu.be/LxY6RcNTEE0

강의 중 학생 문제 풀이 등 발표 내용 (동영상)

※ 자료

 

201*년도 *학기

 

강좌명

선형대수학

담당교수

이상구

 주차

내용

section

동영상 발표 자료

1주차

Inner product,Orientation

Section 1-1

http://youtu.be/fbCMyh-iDCQ

Section 1-2

http://youtu.be/sEFj_7t_bqc

2주차

Vector (벡 터)

Section 1-3

http://youtu.be/avVJfeEoeVs

Chapter 1

(Discuss)

http://youtu.be/tys3taO5IHs

Section 2-1

http://youtu.be/N5ltl-bfdvkz

Section 2-2

http://youtu.be/sJeomjbRFmE

3주차

LSE

Section 2-3

http://youtu.be/vx_6rTJq5jk

Section 3-1

http://youtu.be/LaAAruKbGyc

Section 3-2

http://youtu.be/-MPszmMNvLE

Section 3-3

http://youtu.be/ceI80eXp6xU

4주차

Change of basis, Similar matrices

Section 3-4

http://youtu.be/s7jxVvVAel4

Section 3-5

http://youtu.be/IygHFdWacds

Section 3-6

http://youtu.be/rYBsPkeVhQ0

5주차

Determinat

Section 4-1

http://youtu.be/Fne4gaZtE_Q

Section 4-3

http://youtu.be/Ygu4_7I4fGQ

6주차

Linear transformations and their matrix representation

Section 6-1

http://www.youtube.com/watch?v=yDUHr2LHBVs

7주차

CAS system

Section 6-3

http://youtu.be/7BF0JG7JMJ8 

Section 6-4

http://youtu.be/qppP5y8bBgE

Section 6-5

http://youtu.be/QoEPmoIZVd8 

9주차

Dimension and Subspaces

Section 7-1

http://www.youtube.com/watch?v=BHf1AZjYAdQ

Section 7-2

10주차

Section 7-3

Section 7-4

Section 7-5

 http://www.youtube.com/watch?v=BC9qeR0JWis

Section 7-6

11주차

Review Orthogonal and orthonormal bases

and the Gram-Schmidt process

Section 7-7

http://youtu.be/ZRa-4MnWb48

Section 7-9

http://youtu.be/X9VR_0Xnbcc

12주차

Diagonalization

Section 8-1

http://youtu.be/Oy7ZbacWDhk 

Orthogonal matrices,

orthogonal similarity

Section 8-2

http://www.youtube.com/watch?v=00HeZNTN_vc 

http://www.youtube.com/watch?v=7g5Du3_D5PQ

Section 8-3

http://www.youtube.com/watch?v=HSPYrYju1ZY

13주차

orthogonal diagonalisability

Section 8-4

 

http://youtu.be/aYTuHkNKbB4

 

Section 8-5

http://www.youtube.com/watch?v=gWEtJYqvMuQ

Section 8-6

 http://www.youtube.com/watch?v=m7u1-XphQ3s

Section 8-7

http://youtu.be/jDViGood6VA

Section 8-8

http://www.youtube.com/watch?v=lEolZQp_55g

http://youtu.be/SJfshBcj_oc

http://youtu.be/Ajos-zIx6pA

14주차

Quadratic forms, Positive definite quadratic forms.

Section 8-9

 http://www.youtube.com/watch?v=c0y5DcNQ8gs

General Vector Spaces

Section 9-1

 http://www.youtube.com/watch?v=G3Fek3W9kVg

 

Section 9-2

http://www.youtube.com/watch?v=UuSBrN4-4Fc

 

Chapter 9

http://www.youtube.com/watch?v=tmzbqK3rZfg

http://www.youtube.com/watch?v=Bqablzyb_30

 

15주차

Inner product

spaces. Jacobian matrix. Hessian matrix Fourier series

Section 10-1

 

http://youtu.be/9-G3Fd2xOW0

 

 

Chapter 10

http://www.youtube.com/watch?v=adWzUKKmO2k

16주차

Chapter 7,8,9 Project Presentation and Final Exam

Project 발표

http://youtu.be/cxdj7hDWk08



http://matrix.skku.ac.kr/LinearAlgebra.htm