선형대수학 pdf - seonhyeongdaesuhag pdf

Until the 1950s, linear algebra was considered only as one of abstract and advanced mathematics subject among in graduate mathematics courses, mainly dealing with module in algebra. Since the 1960s, it has been a main subject in undergraduate mathematics education because matrices has been used all over. In Korea, it was considered as a course only for mathematics major students until 1980s. However, now it is a subject for all undergraduate students including natural science, engineering, social science since 1990s. In this paper, we investigate the early history of linear algebra and its development from a historical perspective and mathematicians who made contributions. Secondly, we explain why linear algebra became so popular in college mathematics education in the late 20th century. Contributions of Chinese and H. Grassmann will be extensively examined with many newly discovered facts.

   저자가 몇 년 전 부터 교재 (지식 공유 차원에서 - 학생들에게 무료로) 사용하고 있는 책으로 ... 무리없이 가르치면서 교정을 마쳤답니다.  (학생들 문제 풀이도 동영상으로 볼 수 있습니다.)

<---- 한번 둘러 보시고 주위에 선형대수학 가르치시는 교수님들에게 선물로 주시고, 학생들에게도 무료로 주셔도 된답니다. (외국에  널리 알려지기 전에, 한국의 교수님들과 학생들이 혜택을 먼저 보는 것이 맞다고 생각하여 한글 책 부터 만들고, 영어책은 이번에 만든 것이랍니다)

언제나 대한수학회 회원님들의 협조와 관심 및 지원에 감사드립니다.

PS:  참고로 전자책에는 1년전에 국내 특허출원하여 2015년 10월 7일 특허가 확정된 기술도 적용되어 있습니다. 

* 관리번호 : [국내) R-2014-0340-KR-1]
* 발명의명칭 : 임의 수학 문제를 제공하는 클라우드 컴퓨팅 서버, 방법 및 기록매체
* 출원번호 : 10-2014-0139027
* 등록 : 확정
===========

[수신] 성**대학교/ 산학협력단, 성균관대학교 / 이** 교수님
[발신] 특허법인 엠에이피에스 / 이종근 변리사
[대상건]
* 당소 관리번호 : DP20140423KR
* 발명자 : 이** 외

* 출원번호 : 10-2014-0139027
* 등록결정일 : 2015-10-07 ^^ ^^

*******************************************

강의 중 학생 문제 풀이 등 발표 내용 (동영상)

※ 자료

201*년도 *학기

강좌명

선형대수학

담당교수

 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