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                      <New for 2016>

http://matrix.skku.ac.kr/2016-album/Math-Lectures-SGLee.htm

http://matrix.skku.ac.kr/2016-album/Exam-1-2/2016-LA-CH-1-SGLee.html

http://matrix.skku.ac.kr/2016-album/Exam-1-2/2016-LA-CH-2-SGLee.html

http://matrix.skku.ac.kr/SKKU-LA-LAB-Ch-3/

http://matrix.skku.ac.kr/SKKU-LA-LAB-Ch-4/

 

(2016) LA Lectures at SKKU :

LA - first Class - Introduction (1/2) https://youtu.be/kqn9DYtRqrA  

LA Sec 1-1, 1-2,  first Class (2/2)  https://youtu.be/f6eKIuLE-Ko

LA Sec-1-3, Vector Equations of Lines and Planes  https://youtu.be/zRw2M2nhYCg  

LA Sec 2-1, 2-2, Linear System of Equations  https://youtu.be/WwJR-5yF0oE

LA Sec 3.1, 3.2, 3.3, Matrix Algebra, Part 1  https://youtu.be/6U9pELZZ-fc

...

 

(2016) Math4BigDat Lectures at SKKU :

Math for Big Data, Lecture 1, Introduction   https://youtu.be/EURJnLppzKc

Math for Big Data, Lecture 2, LU Decomposition  https://youtu.be/bzhTnoN3atk

Math for Big Data, Lecture 3, Schur Decomposition  https://youtu.be/F2kZON0oS_w

Math for Big Data, Lecture 4, Power Method  https://youtu.be/n4KD4aq_jxw

Math for Big Data, Lecture 5, QR Decomposition, https://youtu.be/gQ7gxTx5f9k

...

(2015)

강좌 소개 (첫 강의) http://youtu.be/Vx1r-y_xIeM, https://youtu.be/kqn9DYtRqrA

Chapter 1. 벡터

Sec 1.1 Vectors in n-space http://youtu.be/x-wuj_CoBtc, https://youtu.be/f6eKIuLE-Ko

Sec 1.2 Inner product and Orthogonality http://youtu.be/yiy72K0ftDU

Sec 1.3 Vector equations of lines and planes http://youtu.be/3PFnKn1BftY https://youtu.be/zRw2M2nhYCg

학생 문제 풀이 Section 1-1 http://youtu.be/fbCMyh-iDCQ

Section 1-2 http://youtu.be/sEFj_7t_bqc

Section 1-3 http://youtu.be/avVJfeEoeVs and (Discuss) http://youtu.be/tys3taO5IHs

 

Chapter 2. 선형연립방정식, https://youtu.be/WwJR-5yF0oE

2.1 Linear system of equations http://youtu.be/AvhUnibjAO4

2.2 Gaussian elimination and Gauss-Jordan elimination http://youtu.be/jurEsnNNwC8

- Ch 2 학생 문제 풀이 https://youtu.be/c7w7OVHLzHM

Section 2-1 http://youtu.be/N5ltl-bfdvkz

Section 2-2 http://youtu.be/sJeomjbRFmE

Section 2-3 http://youtu.be/vx_6rTJq5jk

 

Chapter 3. 행렬과 행렬 대수

http://matrix.skku.ac.kr/SKKU-LA-LAB-Ch-3/index.html

3.1 Matrix operation https://youtu.be/C56kVi-AZW8

3.2 Inverse matrix https://youtu.be/naFiYy4RTxA

3.3 Elementary matrix https://youtu.be/pcnFDa8K8ZY

3.4 Subsapce and linear independence https://youtu.be/bFh4MM9sJek

3.5 Solution set of a linear system and matrix  https://youtu.be/E9HHrchqXus (https://youtu.be/oKy4roRmypY )

3.6 Special matrices https://youtu.be/FNRT0d_c9Pg

*3.7 LU-decomposition https://youtu.be/bzhTnoN3atk

Ch. 3 학생 문제 풀이 Section 3-1 http://youtu.be/LaAAruKbGyc

Section 3-2 http://youtu.be/-MPszmMNvLE

Section 3-3 http://youtu.be/ceI80eXp6xU

Section 3-4 http://youtu.be/s7jxVvVAel4

Section 3-5 http://youtu.be/IygHFdWacds

Section 3-6 http://youtu.be/rYBsPkeVhQ0

Chapter 4. 행렬식

4.1 Definition and Properties of the Determinants https://youtu.be/MeVCFwg1Eq0

4.2 Cofactor Expansion and Applications of the Determinants https://youtu.be/w6eTWgw-JZs

4.3 Cramer's Rule https://youtu.be/ESE9AWVI2Dw

*4.4 Application of Determinant http://youtu.be/OImrmmWXuvU

4.5 Eigenvalues and Eigenvectors https://youtu.be/U7KG5jFR0q4

학생 문제 풀이 Section 4-1 http://youtu.be/Fne4gaZtE_Q

Section 4-3 http://youtu.be/Ygu4_7I4fGQ

* Chapter 5. 행렬 모델

5-1 Power Method: http://youtu.be/CLxjkZuNJXw

5-2 Cryptography: 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

- Ch 5 Matrix Model 학생 발표 https://youtu.be/4u9LtmX7lvk

 

Chapter 6. 선형변환

6.1 Matrix as a Function (Transformation) https://youtu.be/KHTR69HDSNs

6.2 Geometric Meaning of Linear Transformations https://youtu.be/hJXsKubtgms

6.3 Kernel and Range https://youtu.be/vMulGT9RiI0

6.4 Composition of Linear Transformations and Invertibility https://youtu.be/AfjRc-IxZQk

*6.5 Computer Graphics with Sage : http://youtu.be/7BF0JG7JMJ8

- Ch 6 학생 문제 풀이 https://youtu.be/corKFRm5Nw0

Section 6-1 http://www.youtube.com/watch?v=yDUHr2LHBVs

Section 6-4 http://youtu.be/qppP5y8bBgE

Section 6-5 http://youtu.be/QoEPmoIZVd8

 

선형대수학 중간고사 review - Ch1~Ch6 https://youtu.be/21RsZ4zdkaY

 

Chapter 7. 차원과 부분공간

7.1 Properties of bases and dimensions https://youtu.be/eePPvXLiffo

7.2 Basic spaces of matrix https://youtu.be/BL9Bhj2ufHg

7.3 Rank-Nullity theorem https://youtu.be/H1mFmDT5pUY

7.4 Rank theorem https://youtu.be/eYVZiWwB89A

7.5 Projection theorem https://youtu.be/AEgPNNYtNms

*7.6 Least square solution

7.7 Gram-Schmidt orthonomalization process https://youtu.be/9rAwPCuIwqw

*7.8 QR-Decomposition; Householder transformations

7.9 Coordinate vectors https://youtu.be/3Ikd1XpScZ4

- Ch 7 학생 문제 풀이 https://youtu.be/Oitaaj8uob8

Section 7-1 http://www.youtube.com/watch?v=BHf1AZjYAdQ

Section 7-5 http://www.youtube.com/watch?v=BC9qeR0JWis

Section 7-7 http://youtu.be/ZRa-4MnWb48

Section 7-9 http://youtu.be/X9VR_0Xnbcc

 

Chapter 8. 행렬의 대각화

8.1 Matrix Representation of LT https://youtu.be/V_TBd7O_a70

8.2 Similarity and Diagonalization https://youtu.be/NHEyutjknyo

8.3 Diagonalization with orthogonal matrix, *Function of matrix https://youtu.be/B8ESZZQIlzA

8.4 Quadratic forms https://youtu.be/SxCLGhylkIk

*8.5 Applications of Quadratic forms

Sec 8.6 SVD and Generalized inverse https://youtu.be/0FYcU4DWhWQ

8.7 Complex eigenvalues and eigenvectors https://youtu.be/ejGNmo9hhfI

8.8 Hermitian, Unitary, Normal Matrices https://youtu.be/hCpyw7C_raE

- Ch 8 학생 문제 풀이 https://youtu.be/AwnZyjLiYo8

Section 8-1 http://youtu.be/Oy7ZbacWDhk

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

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

Section 8-9 http://www.youtube.com/watch?v=c0y5DcNQ8gs

 

Chapter 9. 일반 벡터 공간

9.1 Axioms of Vector Space https://youtu.be/yi9z_2e6y8w

9.2 Inner product spaces; *Fourier Series https://youtu.be/SAgZ_iNsZjc

9.3 Isomorphism https://youtu.be/SAzm6t_sb8o

- Ch 9 학생 문제 풀이 https://youtu.be/RUShNzaPBdE

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

 

Chapter 10. Jordan 표준형

10.1 Finding the Jordan Canonical Form with a Dot Diagram https://youtu.be/8fwPPOg8LW0

*10.2 Jordan Canonical Form and Generalized Eigenvectors https://youtu.be/YrRnCByzxNM ( https://youtu.be/yJ7n0icjtNA )

10.3 Jordan Canonical Form and CAS https://youtu.be/YrRnCByzxNM (http://youtu.be/LxY6RcNTEE0 )

학생 문제 풀이 https://youtu.be/y4173MpjoxE

Section 10-1 http://youtu.be/9-G3Fd2xOW0

Chapter 10 http://www.youtube.com/watch?v=adWzUKKmO2k

 

* 부록

문제 풀이집: http://matrix.skku.ac.kr/LA-Lab/Solution/

프로젝트 발표: http://youtu.be/cxdj7hDWk08

[시험 문제] 동영상 설명: http://youtu.be/CLxjkZuNJXw

http://matrix.skku.ac.kr/CLA-Exams-Sol.pdf ,

http://matrix.skku.ac.kr/2015-album/2015-LA-S-Exam-All-Sol.pdf

http://matrix.skku.ac.kr/2015-album/2015-LA-F-Midterm-Final-Solution-F.pdf

관련 웹사이트 (참고자료):

http://matrix.skku.ac.kr/2012-album/2012-LA-Lectures.htm

 

(2015년 1학기 강좌용으로 새로 마련된 동영상 목록)

 

선형대수학 입문 (Lecture) - 성균관대 이상구 교수 Prof Sang-Gu Lee, SKKU

(강좌 설명) PBL - Flipped Learning   http://youtu.be/Mxp1e2Zzg-A 

           Lecture 1 Introduction http://youtu.be/w7IzR4nGa3Q 

 

Section 1.1 벡터 and 1.2 내적 http://youtu.be/aeLVQoPQMpE 

Section 1.3 벡터방정식, Vector Equations http://youtu.be/4UGACWyWOgA 

Section 2.1 Linear System of Equations, 선형연립방정식 http://youtu.be/CiLn1F2pmvY

Section 2.2 Gauss-Jordan 소거법, http://youtu.be/jnC66zvqHJI

Section 3.1 Matix Algebra, 행렬연산 http://youtu.be/DmtMvQR7cwA

Section 3.2, Section 3.3 역행렬과 기본행렬 http://youtu.be/GCKM2VlU7bw 

Section 3.4 Subspaces - 부분공간 http://youtu.be/HFq_-8B47xM

Section 3.5 Solution space 3.6 Special matrices, 해공간, 특수행렬   http://youtu.be/daIxHJBHL_g 

Section 4.1 Determinant - 행렬식, http://youtu.be/DM-q2ZuQtI0

Section 4.2 Cofactor and Inverse, 여인자 전개와 역행렬, http://youtu.be/XPCD0ZYoH5I

Section 4.3 Cramer's rule 4.4. Appl, 4.5 eigen Value and Eigenvector

            크래머의 법칙, 고유값, 고유벡터 http://youtu.be/OImrmmWXuvU

Section 6.1 Linear Transformation, 선형변환  http://youtu.be/YF6-ENHfI6E

Section 6.2 Meaning of LT, 선형변환의 기하학적 의미 http://youtu.be/cgySDj-OVlM

Section 6.3 Kernel and Range, 핵과 치역  SKKU  http://youtu.be/9YciT9Bb2B0

Section 6.4 Composite and Inverse of LT, 선형변한의 합성과 역행렬 http://youtu.be/EOlq4LouGao

 

LA Midterm Exam http://youtu.be/R3F3VNGH8Oo  

 

Section 7.1 Basis and Dimension, 기저와 차원 SKKU http://youtu.be/or9c97J3Uk0

Section 7.2 Fundamental Subspaces, 주요 부분공간들 SKKU https://youtu.be/BC9qeR0JWis

Section 7.3 Rank Nullity Theorem, SKKU http://youtu.be/ez7_JYRGsb4

Section 7.4 Rank Theorem, 계수정리 SKKU http://youtu.be/P4cmhZ3X7LY

Section 7.5 Projection Theorem, 정사영정리 SKKU http://youtu.be/GlcA4l8SmlM

Section 7.6* 최소제곱해(least square solution)  http://www.youtube.com/watch?v=BC9qeR0JWis 

Section 7.7 Gram-Schmidt의 정규직교화과정, SKKU  http://youtu.be/gt4-EuXvx1Y 

Section 7.8* QR-분해, Householder transformations  http://www.youtube.com/watch?v=crMXPi2lgGs 

Section 7.9 Coordinate vector, 좌표벡터, SKKU  http://youtu.be/M4peLF7Xur0 

Section 8.1 Matrix of LT, 선형변환의 행렬표현,    http://youtu.be/gn5ve1tXD7k  and http://youtu.be/jfMcPoso6g4 

Section 8.2 Similarlity   닮음과 행렬의 대각화, http://youtu.be/xirjNZ40kRk

Section 8.3 Ortho. Diag. 직교대각화  http://youtu.be/jimlkBGAZfQ 

Section 8.4  Quadratic Ft  이차형식  http://youtu.be/vWzHWEhAd-k

Section 8.5* Appl of Quadratic Function http://youtu.be/cOW9qT64e0g 

Section 8.6 Singular Value Decomposition, https://youtu.be/ejCge6Zjf1M

Section 8.7 and 8.8  Complex ev, Hermitian, Unitary, Normal matrix

          복소고유값, 복소고유벡터, 정규행렬, http://youtu.be/8_uNVj_OIAk 

Section 9.1 and 9-2 General Vector Spaces, Inner product spaces,  http://youtu.be/m9ru-F7EvNg 

Section 9.3 Isomorphism 동형사상, LA,   http://youtu.be/frOcceYb2fc

Section 10.1 Jordan Canonical Form (Jordan 표준형)  http://youtu.be/NBLZPcWRHYI

Section 10.3  Jordan Canonical Form with Sage  http://youtu.be/LxY6RcNTEE0

     (15 주차)  복습과 프로젝트 발표

Math, Art and 3D Printing  http://youtu.be/olTfft1cuGw 

SKKU LA 2015 S PBL 보고서 발표 by 김병찬 & 우시명,  http://youtu.be/hUDuQ8e8HsU 

SKKU 선형대수학  PBL 보고서 발표 by  손홍철 http://youtu.be/woyS_EYWiDs 

SKKU 선형대수학  PBL 보고서 ppt 발표 by  박민  http://youtu.be/E-5m65-8Ea8

SKKU 선형대수학  Project Hessian Matrix PPT 발표 by 전승준  http://youtu.be/JHT6aTQhr-A

SKKU 선형대수학  Computer Graphic with Sage by 김태용, 이학현, 이종화  http://youtu.be/JFVM4KRr2nc 

    (16주 차) 기말고사  http://matrix.skku.ac.kr/2015-Album/CLA-Final-Sample-Exam.pdf

 

 

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

SKKU Math Modeling  발표 by Victoria Lang   http://youtu.be/kYfenFVM8xk

SKKU Math Modeling 발표 by 김수민   https://youtu.be/ELs4MWQqfqY

SKKU Math Modeling 발표 by 김신휘 http://youtu.be/PgGKfjOIRM0에 게시됩니다.

SKKU Math Modeling 발표 by 김우석 http://youtu.be/_EY0hzkA7wA에 게시됩니다.

SKKU Math Modeling R Sage 통계작업실 1 발표 소병두 http://youtu.be/Ht7A7H8Kbx8

SKKU Math Modeling   R Sage 통계작업실 2 발표 by 김태흥  http://youtu.be/8cq0X5q6QLs

 

 

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

 

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

 

 

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

 

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

(11-12주차)

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 (13-14 주차) 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 (15 주차)

 

16주차 = 기말고사 Jordan 표준형 (with Sage)

10-1 Jordan Canonical Form http://youtu.be/NBLZPcWRHYI

10-3 Jordan Canonical Form with Sage http://youtu.be/LxY6RcNTEE0

Linear Algebra with Sage  (free e-book)

      (English Version) http://matrix.skku.ac.kr/2015-Album/Big-Book-LinearAlgebra-Eng-2015.pdf  
      (Revised Korean Version)   http://matrix.skku.ac.kr/2015-Album/BigBook-LinearAlgebra-SGLee-New-2015.pdf

선형대수학 자료실:   http://matrix.skku.ac.kr/LinearAlgebra.htm
선형대수학 거꾸로 교실 자료 :  http://matrix.skku.ac.kr/SKKU-LA-FL-Model/SKKU-LA-FL-Model.htm
* 선형대수학 강좌 운영방법 소개 동영상 : http://youtu.be/Mxp1e2Zzg-A
* 선형대수학 강좌 기록 일부  http://matrix.skku.ac.kr/2015-LA-FL/SKKU-LA-Model.pdf
                          http://matrix.skku.ac.kr/2015-LA-FL/Linear-Algebra-Flipped-Class-SKKU.htm 
* 선형대수학 중간/기말고사 : http://matrix.skku.ac.kr/2015-Album/2015-LA-S-Exam-All-Sol.pdf

이상설의 수리 원본 발굴 : https://youtu.be/4WzWQ2fnT-s
이상설의 수리 - 수당기념관  : http://matrix.skku.ac.kr/2015-Album/2015-Suri-Sudang/index.html

1.[광복 70년 미래 30년] 130년 전 수학 교재…이상설 ‘수리’ 첫 공개  http://news.kbs.co.kr/news/view.do?ncd=3129179#18831986
 

2. KBS 광복70주년 특집기획 다큐멘터리 2부작 “이상설 불꽃의 시간”  https://www.youtube.com/watch?v=hKVwIWj2L1E (예고)
(최초 공개) https://www.youtube.com/watch?v=grFHXCSwtcU&list=PLk1KtKgGi_E5GK2jxzOew97kPh-ZTuUiG&index=10
http://blog.tasteyfood.co.kr/%EA%B4%91%EB%B3%B570%EC%A3%BC%EB%85%84-kbs-%ED%8A%B9%EC%A7%91-1tv-8%EC%9B%9412%EC%9D%BC13%EC%9D%BC-%EC%9D%B4%EC%83%81%EC%84%A4-%EB%B6%88%EA%BD%83%EC%9D%98-%EC%8B%9C%EA%B0%84/
(검색) https://www.google.co.kr/?gfe_rd=cr&ei=4FnaVaKjB-H98weNiKvoAQ#newwindow=1&safe=off&q=%EA%B4%91%EB%B3%B5+70%EC%A3%BC%EB%85%84+KBS+%ED%8A%B9%EC%A7%91+(1TV%2C+8%EC%9B%9412%EC%9D%BC%2C13%EC%9D%BC)+%EC%9D%B4%EC%83%81%EC%84%A4+%EB%B6%88%EA%BD%83%EC%9D%98+%EC%8B%9C%EA%B0%84
3. 한국 근대 수학과 과학의 개척자     (동영상) 
http://asx.kbs.co.kr/player_56ad_mp4.html?title=%B1%A4%BA%B970%B3%E2+%C6%AF%C1%FD%B4%D9%C5%A5%C0%CC%BB%F3%BC%B3%2C%BA%D2%B2%C9%C0%C7+%BD%C3%B0%A3..&url=T2015-0420_S000_20150813_PS-2015144468-01-000_03_M4H20018.mp4&playType=TV&type=202&chkdate=20150824084337&requestType=&encyn=y&kind=56#kbs  
http://find.kbs.co.kr/web/search.php?kwd=%EA%B4%91%EB%B3%B570%EB%85%84+%ED%8A%B9%EC%A7%91%EB%8B%A4%ED%81%90+%EC%9D%B4%EC%83%81%EC%84%A4%2C+%EB%B6%88%EA%BD%83%EC%9D%98+%EC%8B%9C%EA%B0%84&category=TOTAL&subCategory=TOTAL&pageNum=1&pageSize=10&sort=d&pgm_sort=f&date=4&startDate=&endDate=&section=&channel=&grade=&onairday=&pgm_code=T2015-0420&star_seq=&pfch=true&preKwd%5B0%5D=%EC%9D%B4%EC%83%81%EC%84%A4+%EB%B6%88%EA%BD%83%EC%9D%98+%EC%8B%9C%EA%B0%84#add2  (1부, 2부)
http://blog.daum.net/_blog/BlogTypeView.do?blogid=044Ek&articleno=16144473&_bloghome_menu=recenttext

공사-강원경기수학회 학술회의 : http://matrix.skku.ac.kr/2015-Album/2015-6-KKMS-AKA/index.html

통계실습실 R 1,
통계실습실 R 2,

 이메지너리-Imaginary
 2014-2015 Talks 사진

Math Modeling Refer

 2015-3D-Printing http://matrix.skku.ac.kr/2015-Album/2015-1-23-BK-WS-3D/index.html

                              http://matrix.skku.ac.kr/2014-Models/winter3d.html
                              http://matrix.skku.ac.kr/DIY-Math-3D-Printer/index.html
                              http://matrix.skku.ac.kr/2014-Album/2014-12-ICT-DIY/index.html
                                                    

강원경기수학회 임원진(2015-2016)  http://matrix.skku.ac.kr/2015-Album/KK-Math-Board-F.htm
  < 대형 3D프린터  <와우봇> 기 본 세팅매뉴얼> http://matrix.skku.ac.kr/2015-Album/Manual/index.htm
                   http://matrix.skku.ac.kr/2015-Album/Manual/Manual-2-G-code.htm
Introductory Math. Modeling (SKKU-SOCW) http://matrix.skku.ac.kr/SOCW-Math-Modelling.htm
             RPG 1:  http://matrix.skku.ac.kr/2015-Project/SU-Test-eng.html   http://matrix.skku.ac.kr/2015-Project/SU-kor.html
Math Modeling Project : http://matrix.skku.ac.kr/2014-Models/Graph-Project.html http://matrix.skku.ac.kr/2015-Project/Graph-Project.html
Epidemic Model : http://matrix.skku.ac.kr/2014-Models/Epidemic_model.html
Pred-Prey Model: http://matrix.skku.ac.kr/2015-Project/pred-prey.html
Quadratic Forms: http://matrix.skku.ac.kr/2014-Album/Quadratic-form/index.htm
Centroid : http://matrix.skku.ac.kr/2014-Album/victoriacentroidsecond.html
Jordan Canonical Form : http://matrix.skku.ac.kr/2014-Album/JCF/index.htm


[한빛 아카데미] Engineering Mathematics with Sage:

[저자] 이상 구, 김영 록, 박준 현, 김응 기, 이재 화

Contents

A. 공학수학 1 선형대수, 상미분방정식+ Lab

Chapter 00 서문  http://matrix.skku.ac.kr/EM-Sage/Preface.html

Chapter 01 벡터와 선형대수 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-1.html

Chapter 02 미분방정식의 이해 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-2.html

Chapter 03 1계 상미분방정식 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-3.html   

Chapter 04 2계 상미분방정식 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-4.html

Chapter 05 고계 상미분방정식 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-5.html

Chapter 06 연립미분방정식, 비선형미분방정식 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-6.html

Chapter 07 상미분방정식의 급수해법, 특수함수 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-7.html 

Chapter 08 라플라스 변환 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-8.html

 

B. 공학수학 2 - 벡터미적분, 복소해석 + Lab

Chapter 09 벡터미분, 기울기, 발산, 회전 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-9.html

Chapter 10 벡터적분, 적분정리 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-10.html

Chapter 11 푸리에 급수, 적분 및 변환 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-11.html

Chapter 12 편미분방정식 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-12.html

Chapter 13 복소수와 복소함수, 복소미분 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-13.html

Chapter 14 복소적분 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-14.html

Chapter 15 급수, 유수 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-15.html

Chapter 16 등각사상 http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-16.html

Chapter 17 <부록과 해답> http://matrix.skku.ac.kr/EM-Sage/E-Math-Chapter-17.html

Appendix  http://matrix.skku.ac.kr/EM-Sage/Appen.html

 

http://matrix.skku.ac.kr/2014-Album/MC.html

성대 수학과 60년 기념 동영상 : https://www.youtube.com/watch?v=ymaRfQYAgMg 

ILAS 2014 Records:  http://matrix.skku.ac.kr/2014-Album/ILAS-2014/ and http://www.ilas2014.org/

http://matrix.skku.ac.kr/ILAS-Book/index.htm ILAS 2014 Program Book

ICM 2014, COEX, Seoul:

 http://m.vop.co.kr/view.php?cid=780157&t=1

 https://www.facebook.com/SEOULICM2014/photos_stream

 https://www.facebook.com/SEOULICM2014/photos/pb.172320429508978.-2207520000.1408679315./686248254782857/?type=3&theater

 https://www.facebook.com/SEOULICM2014/photos/pb.172320429508978.-2207520000.1408679357./686244254783257/?type=3&theater
https://www.facebook.com/SEOULICM2014/photos_stream    http://matrix.skku.ac.kr/2014-Album/2014-ICM-SGLee/index.html

 http://matrix.skku.ac.kr/2014-Album/2014-ICM-Culture/

 

(Lectures by SGLee -Movie) http://www.youtubeconverter.co/sglee/  

Sage 사용법: http://smart.knou.ac.kr/jsp/viewer/vod_contents_viewer2.jsp?pFILE_URL=/unibasicmath/guide/2_SAGE.mp4    

Wolfram Alpha 사용법: http://smart.knou.ac.kr/jsp/viewer/vod_contents_viewer2.jsp?pFILE_URL=/unibasicmath/guide/3_WolframAlpha.mp4  

GeoGebra 사용법: http://smart.knou.ac.kr/jsp/viewer/vod_contents_viewer2.jsp?pFILE_URL=/unibasicmath/guide/1_Geogebra.mp4  

수학-통계학 전공 소개: http://210.95.199.68/sub_job03_play.asp?idx=1034&cate=26&gotopage=3

ICM 도서전시 (국립어린이청소년도서관)  http://matrix.skku.ac.kr/2014-Book/

How to get ILAS 2014 Vevue : http://matrix.skku.ac.kr/ILAS-map/

미적분학  http://matrix.skku.ac.kr/Cal-Book/  and 선형대수학 http://matrix.skku.ac.kr/LA-Lab/   

Calculus 1 http://matrix.skku.ac.kr/PBL/

Calculus 2 http://matrix.skku.ac.kr/PBL2/

 <sage-i (설치도구)>

https://www.kci.go.kr/kciportal/ http://www.ams.org/mathscinet/search/author.html?mrauthid=319424  Linear Algebra (동영상강의)-Flipped Learning

RMPG  http://matrix.skku.ac.kr/MT-Lab/RMPG-Mobile/index.html   

행렬과 행렬대수 http://matrix.skku.ac.kr/MT-Lab/MandMA.html

 

Math and Art: http://matrix.skku.ac.kr/MT-Lab/mathLib/main.html , http://matrix.skku.ac.kr/MT-Lab/mathart/index.html

그래프는 무엇인가?  http://matrix.skku.ac.kr/MT-Lab/graph/index.html

SIR 좀비모델 : http://matrix.skku.ac.kr/MT-Lab/Zombieapp-new/main.htm

포식자-피식자 모형(predator-prey Model): http://matrix.skku.ac.kr/MT-Lab/pred-prey.html

미분방정식 모델: http://matrix.skku.ac.kr/MT-Lab/diffeq/index.html

 

미적분학 Story  http://matrix.skku.ac.kr/Calculus-Story/index.htm 

미적분 학 Lab: http://matrix.skku.ac.kr/Lab-Book/Sage-Lab-Manual-1.htm

선형대 수 Lab: http://matrix.skku.ac.kr/Lab-Book/Sage-Lab-Manual-2.htm

http://matrix.skku.ac.kr/RPG_English/index.htm

http://matrix.skku.ac.kr/3d-print/index.htm

http://matrix.skku.ac.kr/3d-print-e/index.htm

http://matrix.skku.ac.kr/2014-MM/3D_Orbit-v1.html

http://matrix.skku.ac.kr/2014-MM/predpreypretty.html

http://matrix.skku.ac.kr/2014-Album/victoriacentroidsecond.html

http://matrix.skku.ac.kr/2014-Album/2014-Toyoko-Inn.htm

*http://matrix.skku.ac.kr/2014-BM-0/Lecture2.htm

*http://matrix.skku.ac.kr/2014-Calculus-0/knou-cal-w1.htm

*http://matrix.skku.ac.kr/2014-Stat-0/Week-1.htm

*http://matrix.skku.ac.kr/knou-knowls/  Linear Algebra with Sage

 Linear Algebra with Sage Week 8~15  : http://matrix.skku.ac.kr/2014-KNOU-LA/CyberLab.htm

http://matrix.skku.ac.kr/2014-Album/MA-Tensor-sglee.pdf

http://matrix.skku.ac.kr/Calculus-Map/index.htm, http://matrix.skku.ac.kr/Calculus-Story/Calculus-Story.htm

http://matrix.skku.ac.kr/ILAS2014/index.htm

http://matrix.skku.ac.kr/sage/index.htm

http://matrix.skku.ac.kr/2014-DE-0/Engineering_Math-Sample-New.htm

 

New for 2013

   http://matrix.skku.ac.kr/Mobile-Sage-G/sage-grapher-butterfly.html

   http://matrix.skku.ac.kr/Mobile-Sage-G/sage-grapher.html

   http://matrix.skku.ac.kr/3d-print/sage-stl.htm

   http://matrix.skku.ac.kr/2013-STL/3d.html

<Math 60th Anniversarry 수학과 60년 행사 기록>

1.  행사 사진 사진 :  http://matrix.skku.ac.kr/2014-Math-60/index.html

                          (사료) http://matrix.skku.ac.kr/2014-Math-6oth/index.html  

2. 60주년 기념 행사에서 공연한 동영상 http://youtu.be/ymaRfQYAgMg  또는

                             http://matrix.skku.ac.kr/MT-Lab/Math60th.mp4   (다운로드)

       일부는 수학과 3층 로비에 마련된  장식장에 비치

3. 수학과 50년사:  http://matrix.skku.ac.kr/math/SKKUMath50.pdf

4. 10년 전 수학과의 모습 http://matrix.skku.ac.kr/sglee/2002-math-skku/index.htm

5. 수학과 역사실 :  http://matrix.skku.ac.kr/2012-e-Books/index.htm

6. 성균수학-1호 : http://matrix.skku.ac.kr/2011-Album/SKKU-Math-1st-Journal/SKKU-Math-1st-Journal.html  

 7. Advanced Calculus(60학번 교재) http://matrix.skku.ac.kr/2012-album/SKKU-AdvancedCalculus/SKKU-AdvancedCalculus.html

 8. 2008년 수학과 동영상 기록 : http://matrix.skku.ac.kr/2008-MathMovie/main.htm

 

Computational Math in  2011 and 2012

 

 

    Bridges Towson 2012: http://vimeo.com/31222127

    Bridges Coimbra 2011: http://vimeo.com/15401789

    Bridges Pecs 2010 : http://www.youtube.com/watch?v=XXhgdgNikA0

    bridges 2008, Leeuwarden, Part 1: http://www.youtube.com/watch?feature=player_detailpage&v=AjCefLqTt_E

    bridges 2008, Leeuwarden, Part 2: http://www.youtube.com/watch?feature=player_detailpage&v=ifypoBprCv4

    bridges 2008, Leeuwarden, Part 3a: http://www.youtube.com/watch?feature=player_detailpage&v=8wIy4FwFe3o

    bridges 2008, Leeuwarden, Part 3b: http://www.youtube.com/watch?feature=player_detailpage&v=jCXluY8MQW8

    bridges 2008, Leeuwarden, last part (4): http://www.youtube.com/watch?feature=player_detailpage&v=iQme7IkGS0I

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