< SOCW 수학 동영상 강의 일부 >

수학사 강의 소개 : (History of Mathematics)

                   (바로 아래는 2015년 2학기 부터 2016년도 Flipped Learning을 준비하며 만들고 있는 새 자료)

•  The History of Mathematics
•  Beginnings of Korean Mathematics
•  Asian Mathematics
•  India and Middleeast Mathematics
•  Medieval Europe Math
•  The 15th~18th Centuries Europe Math
•  The 19th and 21st Centuries World Math

 [Title] BigData 시대의 <대학 수학교육> 과 <대학 수학교재 및 실습실> https://youtu.be/H4ooY-B72xg

  (수학사 강의 소개 동영상   https://youtu.be/CcOIhO8TOf8  )

수학사, 1강 : Prelude  http://youtu.be/2FBIdAla8jI

수학사 2강 : 10세기, 동양과 서양의 수학이 아라비아에 모이다 https://youtu.be/2FBIdAla8jI

수학사 3강 : 계산법의 전파 (필산), 기독교와 이슬람교의 대립  http://youtu.be/W3BJnOd83xU

수학사 4강 : 대포소리와 함께 시작한 함수 http://youtu.be/12dH-olPxeQ

수학사 5강 : 전쟁과 수학, 난공불락의 성벽, 오스만 제국과 군대,  대포에서 움직임의 수학 탄생, https://youtu.be/RXuhAaAhbFk

수학사 6강 : 군사 비밀: 화법기하학, 전쟁과 프랑스 수학자, 요새 건설, 투영도, 설계술, 사영기하학   https://youtu.be/YEiJ5Kpgij8

수학사 7강 : 도시국가의 번영과 확률론, 이탈리아-프랑스-러시아  ‘확률론’의 완성  https://youtu.be/a4CZ8SHdOpM

수학사 8강 :  확률의 기초지식과 초등문제   https://youtu.be/xZdeRgiQSDk https://youtu.be/xZdeRgiQSDk

수학사 9강 :  통계학의 탄생  https://youtu.be/3LTBEcXwGDM

                SKKU 수학사 PBL 9월 보고서 발표 - IKJung https://youtu.be/MCZcGT66864

수학사 10강 : 대화재 피해에 대한 반성에서 생긴 보험법  https://youtu.be/pGCsWPAJaUQ

수학사 11강 :  동아시아 수학사, http://matrix.skku.ac.kr/2013-Album/Math-East-Asia/Math-East-Asia.html, https://www.youtube.com/watch?v=jB8ZaSuUfaQ 
 

수학사 12강 : 중국의 근대수학 (후 밍푸, Chern Shiing-Shen, Hua Luogeng) https://youtu.be/PpTVaSu04_w 
수학사 13강 : 일본의 근대수학 (Kikuchi Dairoku, 후지사와 리키타로, Takagi Teiji) https://youtu.be/cA0ITTkx6RM
수학사 14강 : Kodaira-Takagi-Hironaka-Mori 동아시아의 주요 수학상 수상자 (1)  https://youtu.be/fYfiiAqID20 
수학사 15강 : Ito-Yau-Tao, 주요 수학상 수상자-동아시아(2)  https://youtu.be/benwjxgJtPA

SKKU 수학사 16강 : 근대수학 (한국근대수학사료)  https://youtu.be/PjFNuX8_UZ4

SKKU 수학사 17강 : 산업수학 1 (Future Math)  https://youtu.be/NvGgoV_rLX0

SKKU 수학사 18강 : 산업수학 2 (e-Book and Math Lab) https://youtu.be/5Y8n35fmrdM  

SKKU 수학사 19강 : 산업수학 3 (Math & 3D Printing)   https://youtu.be/VyrErY_2ujE  

SKKU 수학사 세계대전을 제어한 최적화 이론, http://www.youtube.com/watch?v=qgYZgFZYgjk 

SKKU 수학사 정보화 사회의 정탐꾼 암호학, http://www.youtube.com/watch?v=yMbN3B6v8V8  

MH- Project 1 - 수학사연표-오동열-원지희      https://youtu.be/Tg-sygMXCOI

MH- Project 2 - KMS 21세기, 백진주, 정일권    https://youtu.be/L7RWOtXoDtE

MH- Project 3  수학과 법,  조규현-현종민      https://youtu.be/qlmONkLx0sQ

MH- Project 4  Math Prize (수학상) - 유아청-정언락 팀 https://youtu.be/QNWmnU5FB_0

MH- Project 5  Math in Media - 신종현-강민지 팀 https://youtu.be/Ooec_Sfec4M

MH- Project 6  Rec Marh (유희수학) 김윤수-김현수 팀 https://youtu.be/MZSo--cWgFM

MH- Project 4  Math with Sage - 박강희-유지준 팀 https://youtu.be/-7y9cxChJFg  

 16 주차    Final Exam

http://matrix.skku.ac.kr/Artsurf/

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

2016년 수학사 1 Intro  https://youtu.be/kmY4gtOprYU    

2016년 수학사 2 초기 수학사 https://youtu.be/jAKTOTbZ1O0  

2016년 수학사 3 동서양 수학의 만남 https://youtu.be/Evw5jEYxBvU

2016년 수학사 4 아랍의 수학 https://youtu.be/7iuRjQaqMSk

2016년 수학사 5 초기 선형대수학의 역사 https://youtu.be/goDUz37m38k

     Midterm PBL 보고서 + Proj 제안서 학생 발표 1 이태호-백승진-장성훈-한희남-이현주, https://youtu.be/c9NyajHdQlw  

     Midterm PBL 보고서 + Proj 제안서 학생 발표 2 남정현 https://youtu.be/A8A5Bxbekyw  

2016년 수학사 6  유럽수학자 4분 남정현 발표 https://youtu.be/ixYsNOVkJqk

                 1800-1870 대수학의 발전  http://matrix.skku.ac.kr/sglee/linear/r2-Alg-hist.html

미국수학사 :

  미국과 한국의 초기 고등수학 발전과정 비교 http://matrix.skku.ac.kr/Series-E/2009/2009-SE-3-LeeSeolHam.pdf

  History of point set topology http://www.maa.org/press/periodicals/convergence/georg-cantor-at-the-dawn-of-point-set-topology-point-set-topology-has-a-history-too

  Combinatorial Topology 과 Point-Set Topology http://link.springer.com/chapter/10.1007%2F978-94-017-0470-0_1  

 1400년~1900년 사이 서양수학의 발전: 근대수학의 탄생http://mathpark.kookmin.ac.kr/thpark/mathcomputer/history/modern1.htm

                                https://ko.wikipedia.org/wiki/%EC%88%98%ED%95%99%EC%82%AC

     20세기의 수학^^ Mathematics; Form and Function http://matrix.skku.ac.kr/sglee/macbook/formandfunction.htm  

2016년 수학사 7 실베스터와 클라인 그리고 19세기 미국수학 https://youtu.be/kbUxZ-OogZw

2016년 수학사 8 미국수학사 2  Harvard 와 JHU 수학과 https://youtu.be/sjC6VMHdamA

2016년 수학사 9 미국수학사 3  R. L. Moore와 무어 교수법 https://youtu.be/RhvLQy_xjGE

2016년 수학사 10 미국수학사 4  O. Veblen의 리더쉽  https://youtu.be/mNGAfU-_IU8

2016년 수학사 10-1  (한국-미국) 수학자족보 Math Genealogy Project https://youtu.be/OuoGEhfManM

2016년 수학사 11  동아시아 수학사 (웹 자료) http://matrix.skku.ac.kr/2013-Album/Math-East-Asia/Math-East-Asia.html

    2016년 수학사 11 - 1  동아시아수학사  (동영상 강의) https://youtu.be/hUfub-YsK7c

   SKKU Math History Sec-1-3 동아시아 수학의 근대화, Modernization of Asian Math HD https://youtu.be/ZlkwWe2XUdY  

2016년 수학사 11-2  일본수학사 https://youtu.be/4LRG1qV13j8

2016년 수학사 12  조선수학사 ( 조선 전기 수학), Early History of Joseon Math   https://youtu.be/vgxHICB-H4g  

     한국의 수학자, 남병길  https://youtu.be/vRaT27HifUY

    한국의 수학자, 이상혁  https://youtu.be/nSo_w-49PLY  

    한국의 수학자, 최석정   https://youtu.be/XDmZ7oVr494   

    조선의 수학 : http://matrix.skku.ac.kr/2011-Album/2011-11-Joseon-Math.html  

    중국의 산학 책 : http://matrix.skku.ac.kr/2010-Album/Chinese-Old-Math-Books/Chinese0Old-Math-Books.html

2016년 수학사 13  한국수학사 개관 (2) https://youtu.be/RknakF7VD0Q  

2016년 수학사 14  한국 근대수학사

    1. 한국 근대수학교육의 아버지,  이상설 https://youtu.be/2DqIRe7yWtM   http://www.youtube.com/watch?v=NbuRcvLlJOw

    2. 한국 근대수학의 개척자들, 헐버트  https://youtu.be/LXJtvH0XrTE   육영공원 (수학) 교사, 한성사범학교 교사 : http://www.youtube.com/watch?v=YqJX7T9Shok

    3. 유일선 : 한국인 최초의 수학전공자(학사): (1904년, 도쿄물리학교) : http://matrix.skku.ac.kr/Series-E/2009/2009-SE-3-LeeSeolHam.pdf

    4. 최규동 : 일제 강점기 조선 최고의 수학선생님 (1911년 유일선의 수리전문학교인 정리사 졸업) : 해방후 경성대 초대 이사장,

             대한민국 서울대의 초대 총장 역임 http://matrix.skku.ac.kr/2008-Album/2008-History_of_Joongdong_school.html

    5. 아서 베커 : 한국에 온 최초의 교육 (수학)전문가 : 연희전문 수물과 초대 학과장(1915년) :  http://210.101.116.16/kiss6/viewer.asp     

    6. 이춘호 https://youtu.be/RE9VAQwTsPI  한국인 최초의 수학석사 (1921년, OSU) :  미군정하의 서울대 3대 총장 역임, http://www.youtube.com/watch?v=A-z5X0KeeU0

    7. 장세운 : 한국인 최초의 수학박사 (1938년, Nortwestern 대학) http://matrix.skku.ac.kr/2008-Album/KJHM-sglee-070824.htm

    8. 최윤식 : 국내 최초의 수학박사 (1956년, 서울대), 1926년 한국인 최초로 도쿄대학 수학과 졸업, 1946년 10월 서울대 수학과 초대학과장

            (1945년 11월에는 김지정이 유일하게 서울대 수학교수로 임명됨) http://matrix.skku.ac.kr/KMS/KMS-NIMS-Choi-1958.htm

    9. 서양에 알려진 첫번째 한국인 수학자, 이임학 (20세기 한국인 중 두 번째 수학박사)  https://youtu.be/YNuU5_bcv6g

    10. 홍임식   https://youtu.be/yzzIXYsM0q8  한국인 최초의 여성 수학박사 (1959년, 도쿄대학):  http://youtu.be/f7-c8m0Moz0

    11. 장기원(張起元) : 최초의 한국수학사 전문가 http://matrix.skku.ac.kr/2011-Album/KiWonChang-v1/KiWonChang-v1.html  

    12. 이임학 : 세계에서 인정받은 최초의 한국인 수학자 : http://matrix.skku.ac.kr/2011-Album/ReeImHak-v1.htm

    13. 한국 근대수학의 개척자들 (임덕상, 권경한, 박정기, 명효철 등) https://youtu.be/qfxIs6YMJmQ

          (수학자 포스터) http://matrix.skku.ac.kr/2010-Album/Mathematicians-Poster/Mathematicians-Poster3.html

          <Poster> 한국의 주요 수학자 http://matrix.skku.ac.kr/2009-Album/Mathematicians-Poster/Mathematicians-Poster.html

          (1993 SIAM 수학자 달력) http://matrix.skku.ac.kr/2010-Album/SIAM-1994-NLA/SIAM-1994-NLA.html

           (조선시대의 성균관) http://matrix.skku.ac.kr/2010-Album/SKK_in_chosun/SKK_in_chosun.html

           (연희전문 수물과)  http://matrix.skku.ac.kr/2010-Album/Yonsei-Math/Yonsei-Math.html

           (융합연구) http://matrix.skku.ac.kr/2011-Album/2011-3-RC-photos.html

2016년 수학사 15

     개화기 한국의 수학교육 http://matrix.skku.ac.kr/2008-Album/KJHM-sglee-070824.htm http://ibook.skku.edu/Viewer/WO96TXVT44NT

     일제강점기 한국의 수학교육(영문) http://matrix.skku.ac.kr/2010-Album/KJME-2009-LeeNohSong/KJME-2009-LeeNohSong.html  

     한국 최초의 수리학잡지 http://matrix.skku.ac.kr/2010-Album/2010-1stMathJournal-KSHM-Final/2010-1stMathJournal-KSHM-Final.html

     한국 최초의 수학 저널 http://matrix.skku.ac.kr/2008-Album/KMS-ME-v2-1956.html  

     한국 근대수학의 개척자들 전시 http://matrix.skku.ac.kr/2012-Album/2012-Ex-KoreanMath.html

     동아시아 과학 기술의 전통과 미래  http://matrix.skku.ac.kr/E-Asia

      MODERN MATHEMATIC BOOKS BY KOREAN Authors (1884-1910) : http://www.hpm2012.org/Proceeding/Exhibition/E2.pdf

     이상설의 수리 : http://matrix.skku.ac.kr/2009-Album/MathBook-SuRi_screen.html  

     이상설의 수학 책 <수리>: http://scholar.ndsl.kr/schArticleDetail.do?cn=JAKO200913464397083  

           <식물학>: 수학자 이상설이 소개한 근대자연과학: <植物學> :  http://scholar.ndsl.kr/schArticleDetail.do?cn=JAKO201121538711772  

           <화학계몽초> : 한국 근대수학교육의 아버지 李相卨이 쓴 19세기 근대화학 강의록 화학계몽초(化學啓蒙抄):http://dx.doi.org/10.11568/kjm.2012.20.4.541  

           수학자 보재 이상설(李相卨)의 근대자연과학 수용 -『백승호초(百勝胡艸)』를 중심으로 -  http://kiss.kstudy.com/journal/thesis_name.asp?key=3185586

           History-Korea-Physics

2016년 수학사 16

• 이상설의 수리(1888~1899)-논문
• 1899-이상설-백승호초 원전(이이모리 테이조, 물리학), 논문
• 1899-이상설-식물학 과 원전 , 논문
• 1899-이상설-화학계몽초 와 원전, 논문
• 1977-김치영교 수-화갑논문집
• 1976- 장기원교수10주기추념논문집
• * 장기원교수-수학사연구
• 1959-최윤 식교수-송수기념집
• 1979 -호남수학회지 창간호-박종률교수님 소장
• 2010 -조선산학(소식지)
• 2010 -조선산학(홍정하의 계보)
• 2010- 조선산학(최석정의 직교라틴방진)
• 2010-한국과학의 전통과 연세
• 2009-11-28-KSHM-Talk on <수리>
• 2009 -10-23-이상설의 책 <수리>의 발굴
• Math Book project : 연해주에서의 이상설
• Math Book project : 이상설의 산술신서(1900)
• Math Book project : 이상설의 수리(1888~1889)
• Math Book project : 1853- 수학계몽-金咸福[編]-Wylie-偉烈[撰]
• Math Book project : 남병길의 구장술해
• Math Book project : 적수유진
• Math Book Project : Chinese-Old-Math-Books
• Math Book project : 유일선 <수리학잡지>(1906)
• 2009-KSHM Meeting-Taeback
• 2009- 수리정온연구
• 2009-Hist of Korean Math(English)
• Veblen-KSMH-2009-v22
• Mathematicians
• 2009-NTNU-PopularMath Conference
• 2009-KMS-35 년(1982)
• 2009-KMS -50년사(1997)
• 2009-KMS-60년 을맞으며(2006)
• KMS-70년-편찬위원 회-기초자료(2016)
• 2009-Works-CNLee
• 2009-Works-SehiPark, 2009-7-3-Interview, 2-mp3
• 2009-Stories-SGHwang
• KMS-Ree-1996(이임학교수와의 대담)
• KMS-NIMS-Choi-1958(최 윤식교수의 수학연구소 구상)
• 2008-OldMathBooks -존경각
• Korean Mathmatician : 한국사의 천재들 - 부재 이상설
• Korean Math (한국 근대수학) 1
• 2010-8-중국수학-김용운
• 2010-8-한국수학-김용운
• 2010-8-일본수학-김용운
• American Mathematics in late 19C -Sylvester
• American Mathematics in early 20C -E.H. Moore
• American Mathematics in early 20C -R.L. Moore
• KMS Photos 1
• Korean Math (한국 근대 수학전공자)  
• KMS ME v1(1955), KMS ME v1(1955)New
• KMS ME v2(1956), KMS ME v3(1958),
• KMS News(1964-1967), KMS News (1968-1983), KMS News (1983-1992)
• KMS History v.1(1996), KMS History v.2
• Choi, Gyu-Dong (중동)
• Keio Imperial Univ
• 2005-2-2- 한국수학사학회 Workshop
• 2009-KMSH-talk-F, (Movie) 2009-KSHM-Talk-Tertiary
• 한국개화기 의 국가학교육-김효전교수 (1998)

•  한국 대학 수학과 및 수학교육과의 현황(2012년) http://www.prism.go.kr/homepage/researchCommon/downloadResearchAttachFile.do;jsessionid=F813824185FA295CEECC17E23C383A44.node02?work_key=002&file_type=CPR&seq_no=001&pdf_conv_yn=Y&research_id=1341000-201100080 
• <한국 근대수학 책 collection : http://matrix.skku.ac.kr/Math-Books.html >
• 김영구 선생님 소장 수학책 목록: http://matrix.skku.ac.kr/2013-Album/book-collection.htm 
• 2016년 수학사 16  2016년 대한 수학회 70년 역사 - 검토용 초안  https://youtu.be/HytaoMuTykc

2016년 수학사 17 [21세기 수학과 한국 수학의 미래]

     [21세기 수학] BigData 시대의 대학 수학교육 https://youtu.be/H4ooY-B72xg

   수학사 17-1  (SKKU 제 1회 Math Concert) 한국수학: 전통과 첨단의 조화 (2013년). https://youtu.be/d5zvzMIi424

   수학사 17-2  (Mobile math) 모바일 수학  http://matrix.skku.ac.kr/Series-E/2009/2009-SE-6-LeeKohKimPark.pdf  

   수학사 17-3  산업수학 1 (Future Math)  https://youtu.be/NvGgoV_rLX0

   수학사 17-4  산업수학 2 (e-Book and Math Lab) https://youtu.be/5Y8n35fmrdM   

   수학사 17-5  산업수학 3 (Math & 3D Printing)   https://youtu.be/VyrErY_2ujE   

   수학사 17-6  Math, Art and 3D Printing  https://youtu.be/olTfft1cuGw

   수학사 17-7  (2009) Development of Mobile Sage-math and its use in Linear Algebra   https://youtu.be/wi6QlE6gnIc  

   수학사 17-8  (2013) Development of smart-phone contents for mobile linear algebra http://kiss.kstudy.com/journal/thesis_name.asp?tname=kiss2002&key=3144544  

   수학사 17-9  (강의 정보)  http://matrix.skku.ac.kr/2016-album/Math-Lectures-SGLee.htm

   수학사 17-10  Calculus-Textbook (English)  http://ibook.skku.edu/Viewer/U5F8J45T4RG1 http://ibook.skku.edu/Viewer/Calculus2  

   수학사 17-11  SKKU Calculus Textbook Solutions with Sage http://ibook.skku.edu/Viewer/4A6E4BDDLVPI

 ...

         https://sagecell.sagemath.org/

기타 1 : Prof. Norikazu-Takahashi's Talk https://youtu.be/1r8TrMkvyw4

기타 2 : http://matrix.skku.ac.kr/Calculus-Story/index.htm   

A.  미적분학, 수학적 모델링, 수치 선형대수, 빅데이터, 기초 통계학 등 실습실

         http://matrix.skku.ac.kr/LA/      

1. Linear Algebra and Big Data:   http://matrix.skku.ac.kr/E-Math/

2. Statistics with R and Sage :

             http://matrix.skku.ac.kr/2015-R-Statistics/R-Sage-Statistics-Lab-1.htm

             http://matrix.skku.ac.kr/2015-R-Statistics/R-Sage-Statistics-Lab-2.htm

3.  Linear Algebra and Math. Modeling : http://matrix.skku.ac.kr/SOCW-Math-Modelling.htm

4. Linear Algebra and  Numerical Linear Algebra : http://matrix.skku.ac.kr/nla/

5. Linear Algebra and  Matrix Analysis : http://matrix.skku.ac.kr/2008-Lecture/mtl/  

6. Linear Algebra and  Matrix Theory: http://matrix.skku.ac.kr/MT2010/MT2010.htm   

                 http://matrix.skku.ac.kr/2009-images/MT-What-is-it-JHLee/MT-What-is-it-JHLee.html 

7. Linear Algebra and Engneering Math : http://www.hanbit.co.kr/EM/sage/  ​

8.  Multivariate Calculus : http://matrix.skku.ac.kr/Cal-Book/,

                http://matrix.skku.ac.kr/Cal-Book/part2/part2.html

​9. Introductory Linear Algebra:  http://matrix.skku.ac.kr/LA/

10. Single Variable Calculus  : http://matrix.skku.ac.kr/Cal-Book/

               http://matrix.skku.ac.kr/Cal-Book/part1/part1.html  

(English LA Textbook: Free e-book)  http://ibook.skku.edu/Viewer/LA-Text-Eng     
(Korean LA Textbook: Free e-book)  http://ibook.skku.edu/Viewer/LA-Texbook

  http://matrix.skku.ac.kr/3d-print/htmls/Parametric.html   (스마트 폰 에서도 OK ) Mobile Math - 3차원  

(발표자료 PDF 파일) http://matrix.skku.ac.kr/2016-album/Math-CT.pdf  

       https://youtu.be/H4ooY-B72xg  (BigData 시대의 대학 수학교육 - 동영상)

... SageMath의 경우에는, 저도 정말 잘 사용했는데 Cloud 서비스화 되면서 점점 사용하지 않게 되더라고요.  (자신의 로컬 PC에 설치해서 사용하던 Notebook이 좋았죠)  암튼 선형대수학 공부하는데 최고의 툴 같았어요.  ... 교수님이 쌓아놓은 공개 교재, 강의동영상들도 많고...  제 경우에는 Symbolic Notation을 간단히 다룰 때 특히 유용했어요.  인수분해 같은거 골치 썪힐 필요 없이 매쓰매티카처럼 한 방에 해 주니까 정말 좋더라구요....

http://matrix.skku.ac.kr/PBL/ (크롬 또는 화이어폭스 브라우저 이용 권함) 

2014 Final Exam of  Calculus(pdf) http://matrix.skku.ac.kr/Cal-Book/2014-Calculus-S-Final-Exam-Final.pdf 


http://matrix.skku.ac.kr/Calculus-Story/index.htm   
http://matrix.skku.ac.kr/Sage-Calculus/Web-Cover/

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

Appendix: http://matrix.skku.ac.kr/Cal-Book/Appnd/index.htm

 Week 1 how to manage our class Review : http://youtu.be/XWEQFlv4jKc

• <Calculus (미적분학) - 문제 풀이 동영상 - 학생발표> :
• 강의에 앞서 :  http://youtu.be/YtxYZW3Enko
• 14장 앞부분 복습 내용: http://youtu.be/5eCO2GjlJHs

• Chapter 1. Functions 
• Sec-1-1 Functions and Graph, 문제풀이 by 황인철 http://youtu.be/rQ2CB8EvkoE  
  Sec-1-2 Symmetry, 문제풀이 by 곽주현 http://youtu.be/BNKUzSohiD8
  Sec-1-3 Common Functions, 문제풀이 by 장찬영 http://youtu.be/x0E0ZMxZ3Og
  Sec-1-4 Translation, Stretching and Rotation of Functions, 문제풀이 by 임효정 http://youtu.be/vx7GCWY68Zw
•  
• Chapter 2. Limits and Continuity
• Sec-2-1 Limits of functions, 문제풀이 by 장재철-이훈정, http://youtu.be/LZSmRPAAXME
  Sec-2-2 Continuity, 문제풀이 by 이훈정 http://youtu.be/azrkT1RP4-c
  Sec-2-2 Continuity, Epsilon-Delta Proof, by 황인철 http://youtu.be/hj8d-j_DGf4
•  
• Chapter 3. Theory of Differentiation
• Sec-3-1 Definition of Derivatives, Differentiation, 문제풀이 by 김태현 http://youtu.be/7wTBWuk2CzU
  Sec-3-2 Derivatives of Polynomials, Exponential Functions, Trigonometric, 문제풀이 by 조건우 http://youtu.be/Ei5KGW9vZhE
  Sec-3-3 The Chain Rule and Inverse Functions, 문제풀이 by 유휘의 http://youtu.be/aSKm12922FE
  Sec-3-4 Approximation and Related Rates, 문제풀이 김종민  http://youtu.be/JmBOv6_D6qA
•  
• Chapter 4. Applications of Differentiation
• Sec-4-1 Extreme values of a function, 문제풀이 by 김태영 http://youtu.be/_V4MryNEzWY
  Sec-4-2 The Shape of a Graph, 문제풀이 by 김태영 http://youtu.be/SVOWADHlzV8
  Sec-4-3 Indeterminate Forms and L'Hospital's Rule, 문제풀이 by 신종희 http://youtu.be/gR2luDDPsMY
  Sec-4-4 Optimization, 문제풀이 by 이승철 http://youtu.be/AELEV2ElaeQ
  Sec-4-5 Newton's Method, 문제풀이 by 이승철http://youtu.be/fdBHQ46g9RE
•  
• Chapter 5. Integrals
• Sec-5-1 Area and Distance, 문제풀이 by 남택현 http://youtu.be/Y_nCn76RPmY
  Sec-5-2 Definite Integral, 문제풀이 by 남택현http://youtu.be/iUsf1h_hTAE
  Sec-5-3 and 5-4 Fun Theorem of Calculus Net Change Theorem, 문제풀이 by 정승찬 & Kimhttp://youtu.be/Pa4Z38KkDVY
• Sec-5-5 Substitution, 문제풀이 by 이한울 http://youtu.be/0TMbpCPO4Uc
  Sec-5-6 Log and Exponential, 문제풀이 by 이한울 http://youtu.be/ymDImdIQ90c
•  
• Chapter 6. Applications of Integration
• Sec-6-2 Volumes, 문제풀이 by 김종민 http://youtu.be/Fd4Mguf2dbU 
  Sec-6-3 Volumes by Cylindrical Shells, 문제풀이 by 신영찬  http://youtu.be/gNaKkA0UNHg       
  Sec-6-4 Work, 문제풀이 by 김건호 http://youtu.be/SmIo2yaxNsY
• Sec-6-5 Average Value of a Function, 문제풀이 by 신종희  http://youtu.be/BVahd-DJoe8 
•  
• Chapter 7. Techniques of Integration
• Sec-7-1 Integration by Parts, 문제풀이 by 이인행  http://youtu.be/jKCAGJ4HqvQ
  Sec-7-2 Trigonometric Integrals, 문제풀이 by 김태현  http://youtu.be/ytETYf1wLbs
• Sec-7-3 Trigonometric Substitution, 문제풀이 by 이훈정  http://youtu.be/utTQHIabTyI 
• Sec-7-4 Integration of Rational Functions by the Method of Partial Fractions, 문제풀이 by 장재철http://youtu.be/SkNW_bax0YI
• Sec-7-5 Guidelines for Integration, 문제풀이 by 김대환 http://youtu.be/-N9Fe_Arp2c
• Sec-7-6 Integration Using Tables, 문제풀이 by 조건우 http://youtu.be/EnEQ9ZS3B_k
• Sec-7-8 Improper Integrals, 문제풀이 by 이송섭  http://youtu.be/C3kb4c9nLXM  & 문제풀이 by 이인행 http://youtu.be/dfSkjvmSXYo 
•  
• Chapter 8. Further Applications of Integration
• Sec-8-1 Arc Length, 문제풀이 by 남택현   http://youtu.be/A8N-mDD0ja8
  Sec-8-2 Area of a Surface of Revolution, 문제풀이 by 정승찬 http://youtu.be/yZFJDJgTJfw
•  
• Chapter 9. Infinite Sequences and Infinite Series 
• Sec 9.1 Sequences and Series 문지호 http://youtu.be/Qo0MArZG2EA
• Sec-9-1 Sequences and Series, 문제풀이 by 이원준 http://youtu.be/O6y1v5fJA0k      
• Sec-9-2 Tests for convergence of series with positive terms, 문제풀이 by 김범윤 http://youtu.be/1flKAnlv9LA  
• Sec 9.3 Alternating Series and Absolute Convergence   계성곤  http://youtu.be/e_5D0dzrqwc  
• Sec 9.4 Power Series  배성준  http://youtu.be/R3AcB12z2kk
• Sec 9.5 Taylor, Maclaurin, and Binomial Series   우시명  http://youtu.be/NSFrYRYZ6Qc
•  
• Chapter 10. Parametric Equations and Polar Coordinates
• Sec 10.1 Parametric Equations, 문제풀이 by 문지호 http://youtu.be/uz1DkKVeD2k & by 임효정  http://youtu.be/Ybs68e0iMZI  
• Sec-10-2 Calculus with Parametric Curves, 문제풀이 by 장찬영 http://youtu.be/yF5oZOQVnCE
  Sec 10.3 Polar Coordinates 문제풀이 by 계성곤 http://youtu.be/smAmDRK-tWY & by 황인철 http://youtu.be/4hoVKvk8dq0  
• Sec-10-4 Areas and Lengths in Polar Coordinates, 문제풀이 by 곽주현  http://youtu.be/LRmasW9uqYY
• Sec 10.5 Conic Sections 문제풀이 by 변희성 http://youtu.be/ONItxvlsnb8   &  by 이한울 http://youtu.be/CZ9SHMtqVy4  
•  
• Chapter 11. Vectors and the Geometry of Space
  Sec-11.1 Three-Dimensional Coordinate Systems, 문제풀이 by 김태현http://youtu.be/_s_2T1VVob8
• Sec-11.2 Vectors, 문제풀이 by 오교혁  http://youtu.be/BFgh6irMqsc
• Sec-11.5 Equations of Lines and Planes, 문제풀이 by 구본우  http://youtu.be/lxuGE_Erthg
•  
• Chapter 12. Vector Valued Functions
  Sec-12.1 Vector-Valued Functions and Space Curves, 문제풀이 by 최양현http://youtu.be/jvMI6OzdR_I
  Sec-12.2 Calculus of Vector Functions, 문제풀이 by 김동윤  http://youtu.be/VS5rPyOjP2I
•  
• Chapter 13. Partial Derivatives
• Sec-13.1 Multivariate Functions, 문제풀이 by 구본우  http://youtu.be/As_0AYApHlM
• Sec-13.3 Partial Derivatives, 문제풀이 by 김동윤 + http://youtu.be/rSYLp1mSMXY
• Sec-13.4 Differentiability and Total Differentials, 문제풀이 by 김범윤  http://youtu.be/qDmCWBiXbIA
  Sec-13.5 The Chain Rule, 문제풀이 by 김유경   http://youtu.be/vzN5By6qzvM
  Sec-13.6 Directional Derivatives and Gradient, 문제풀이 by 김태현 http://youtu.be/2_7TOUuzJoE
  Sec-13.7 Tangent Plane and Differentiability, 문제풀이 by 서용태http://youtu.be/GDkE8OqUvsk 
  Sec-13.8 Extrema of Multivariate Functions, 문제풀이 by 오교혁http://youtu.be/FWmk_MasIjE  
  Sec- 13.9 Lagrange Multiplier, 문제풀이 by 이원준  http://youtu.be/YMGdQWBzyrI
•  
• Chapter 14. Multiple Integrals
•   Sec-14.1   Double Integrals, 문제풀이 by 이인행 http://youtu.be/w8g9fgcEP4A
    Sec-14.2 Double Integrals in Polar Coordinates, 문제풀이 by 이지석   http://youtu.be/jpsObxtZ50A 
   Sec-14.4 Cylindrical Coordinates and Spherical Coordinates, 문제풀이 by 최양현 + http://youtu.be/F9u6pMubVRs 
    Sec-14.5 Triple Integrals, 문제풀이 by 이인행    http://youtu.be/C-uPM3km96k 
•  
• Chapter 15. Vector Calculus
• Sec-15.1 Vector Differentiation, 문제풀이 by 김동윤 + http://youtu.be/iSUME4Q1WPM
• Sec-15.2 Line Integrals, 문제풀이 by 김범윤, http://youtu.be/ZdRjCfJeHM8 
  Sec-15.3 Independence of the Path, 문제풀이 by 김유경  http://youtu.be/TreCe8ESEiU
• Sec-15.5 Curl and Divergence, 문제풀이 by 서용태 http://youtu.be/wLTHYaANwtI 
  Sec-15.6 Surface and Area, 문제풀이 by 오교혁  http://youtu.be/j7F3xVNdHvA 
  Sec-15.7 Surface Integrals, 문제풀이 by 이원준  http://youtu.be/s_MRgW2By38
  Sec-15.9 Divergence Theorem, 문제풀이 by 최주영 http://youtu.be/vGMLoGWF1Is

< Will be added >

미적분학 with Sage Sec-5-4 Net Change Theorem, Problem, 문제풀이

미적분학 with Sage Sec 8.3 Center of Mass   

미적분학 with Sage Sec *8.4 Differential equations 

미적분학 with Sage Sec-11.3 The Dot Product     

미적분학 with Sage Sec-11.4 The Vector or Cross Product     

미적분학 with Sage Sec-11.6 Cylinders and Quadric Surfaces  

(미적분학 with Sage Sec-12.3 Arc Length and Curvature 

(미적분학 with Sage Sec-12.4 Motion Along A Space Curve: Velocity and Acceleration 

(미적분학 with Sage Sec-13.2 Limits and Continuity of Multivariate Functions, 문제풀이

(미적분학 with Sage Sec-14.3 Surface Area, 문제풀이

(미적분학 with Sage Sec-15.8 Stokes’ Theorem, 문제풀이

                             @@@@@@

2. 선형대수학 Linear Algebra  (동영상 강의)

(선물) 최첨단 영어 선형대수학 책 http://matrix.skku.ac.kr/2015-Album/Big-Book-LinearAlgebra-Eng-2015.pdf

(선물) 최첨단 한글 선형대수학 책 http://matrix.skku.ac.kr/2015-Album/BigBook-LinearAlgebra-SGLee-New-2015.pdf

• Linear Algebra with Sage  (Lecture Movies)

LA with Sage  - Introduction (1st Class)  http://youtu.be/Vx1r-y_xIeM

Chapter 1. Vectors

*LA with Sage  Sec 1.1 Vectors in n-space  http://youtu.be/x-wuj_CoBtc  

*LA with Sage  Sec 1.2 Inner product and Orthogonality  http://youtu.be/yiy72K0ftDU

LA with Sage  Sec 1.3 Vector equations of lines and planes  http://youtu.be/3PFnKn1BftY  

 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. Linear system of equations

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

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

2.3 Exercise : Solution  주영은(조장), 서승완, 변희성 Ch.2  https://youtu.be/c7w7OVHLzHM   

학생 문제 풀이  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. Matrix and Matrix Algebra

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

3.8 Excercise

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. Determinant

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  

4.6 Excercise

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

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

*Chapter 5. Matrix Model

5.1 Lights out Game

5.2 Power Method

5.3 Linear Model (Google)

    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  

- LA Ch 5 Matrix Model  김동욱 팀 (조장)  https://youtu.be/4u9LtmX7lvk  

Chapter 6. Linear Transformations

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  

6.6 Exercises

- LA Ch 6 Solution  이반석-정다산-하지크  https://youtu.be/corKFRm5Nw0   

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

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

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

   SKKU LA 선형대수학  Mid review - Ch1~Ch6    https://youtu.be/21RsZ4zdkaY  

Chapter 7. Dimension and Subspaces

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  

7.10 Exercises

- LA Ch 7 Solution  이승열+ 김성찬 + 김원경  https://youtu.be/Oitaaj8uob8

학생 문제 풀이  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. Diagonalization

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  

*8.9 Linear system of differential equations

8.10 Exercises

- LA Ch 8 Solution 송선민(결석) + 박지환 + 강영훈  https://youtu.be/AwnZyjLiYo8  

학생 문제 풀이 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. General Vector Spaces

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  

9.4 Exercises

- LA Ch 9 Solution  김민기-김도희 박원기  https://youtu.be/RUShNzaPBdE  

학생 문제 풀이 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 Canonical Form

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 )

10.4 Exercises

- LA Ch 10 Solution 신영준(조장), 이종현, 김선호 https://youtu.be/y4173MpjoxE   

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

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

Appendix

Solution Book for Linear Algebra

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

Project Presentation (Project 발표) http://youtu.be/cxdj7hDWk08

[Sample Exam]

Reference video: http://youtu.be/CLxjkZuNJXw  

Practice site:

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

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

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

강의 중 학생 문제 풀이 등 발표 내용 (동영상)

LA Ch 2 Solution  주영은(조장), 서승완, 변희성 Ch.2  https://youtu.be/c7w7OVHLzHM   

LA Ch 5 Matrix Model  김동욱 팀 (조장)  https://youtu.be/4u9LtmX7lvk  

LA Ch 6 Solution  이반석-정다산-하지크  https://youtu.be/corKFRm5Nw0   

LA Ch 7 Solution  이승열+ 김성찬 + 김원경  https://youtu.be/Oitaaj8uob8

LA Ch 8 Solution 송선민(결석) + 박지환 + 강영훈  https://youtu.be/AwnZyjLiYo8  

LA Ch 9 Solution  김민기-김도희 박원기  https://youtu.be/RUShNzaPBdE  

LA Ch 10 Solution 신영준(조장), 이종현, 김선호 https://youtu.be/y4173MpjoxE   

(동영상 강연) Math, Art and 3D Printing 성균관대 이상구 교수  https://www.youtube.com/watch?v=olTfft1cuGw 

※ Made by Prof. SGLee at Sungkyunkwan Univ.

3. [SKKU 선형대수]  행렬이론 - Matrix Theory

                                     (2nd course of Linear Algebra)

by Sang-Gu LEE, Sungkyunkwan University

        Course Homepage : http://matrix.skku.ac.kr/MT-04/index.html

(1) 1주차-Chapter-0-1-Introduction (강의 소개)            http://youtu.be/PPTRKmlMBV8

(1) 1주차-Chapter 1-1. Linear Equations and Matrices http://youtu.be/NYELpsfMDpg

(2) 2주차-Chapter 1-2. LDU factorization     http://youtu.be/A6wgcYEewP8

          Chapter-1-3-Review-Chapter1      http://youtu.be/S-FL07hOjTw

(3) 3주차-Chapter 2-1. Determinants-Definition http://youtu.be/RS_VM5tBF10

           Chapter 2-2. Determinants2-Uniqueness http://youtu.be/gz0H06MORNU

           Chapter 2-3. Determinants3-Cofactor Expansion http://youtu.be/lzYqryA6Vzg

           Chapter 2-4. Determinants4-Cramer http://youtu.be/Gm31xE6OBy4

(4) 4주차-Chapter 3-1. Vector Space (3.1~3.3) http://youtu.be/30y-5H_6Tlc

           Chapter 3-2. Vector Space-Column Spaces http://youtu.be/X6ykfqyrZKI

          Chapter 3-3. Vector Space- Rank-Nullity Thm http://youtu.be/OuqpdPqLrsQ

(5) 5주차-Chapter 3-4. Vector space (3.4~3.9)-Basis http://youtu.be/eDhx2sJQllU

          Chapter 3-5. Vector Space-Invertibility http://youtu.be/bG-6sOpqN1U

선형대수(6) 6주차-Chapter 4-1. Linear Transformations1 http://youtu.be/VfELnIYnVcM

           Chapter 4-2. Linear Transformations2-Similarity http://youtu.be/fJqjQTiw3wQ

           Chapter 4-3. Linear Transformations-Tools http://youtu.be/AgPd0ITISVI

(7) 7주차-Chapter 4-4. Midterm-1            http://youtu.be/ta2X07K2IQk

           Chapter 4-5. Midterm-Review 2    http://youtu.be/--U6Hk0Ttic

           Chapter 4-6. Midterm-Review 3 –LT http://youtu.be/rL0AtnOhqZM

(8) 8주차--Chapter 5-1. Inner Product Spaces-IPS http://youtu.be/-0-KeCwxDFE

            Chapter 5-2. Inner Product Spaces-Length http://youtu.be/MlPu9Y3mcLQ

            Chapter 5-3. Inner Product Spaces-Matrix Reperentation http://youtu.be/cGnuvQz04rU

(9) 9주차--Chapter 5-4. Inner product Spaces-OP http://youtu.be/5kCkFBsr1Wg

            Chapter 5-5. Inner product Spaces-GS http://youtu.be/uSsPJmSjSKA

            Chapter 5-6. Inner product Spaces-FunSub http://youtu.be/JckyZ5E1-rg

(10) 10주차-Chapter 5-7. Inner product Spaces-Isometry http://youtu.be/TGY5b-R1dXs

            Chapter 5-8. Inner product Spaces-Appl http://youtu.be/-z-EN3WzIeQ

            Chapter 5-9. Inner product Spaces-QR-SVD http://youtu.be/RDq-E6IPlic

(11) 11주차-Chapter 6-1. Diagonalization      http://youtu.be/RgFhQtPO1io

             Chapter 6-2. Diagonalization-LT  http://youtu.be/nd8KNsTQZXI

(12) 12주차-Chapter 6-3. Diagonalization-ExpMatrix http://youtu.be/45uB0kfF3yA

             Chapter 6-4. Diagonalization-Schur http://youtu.be/Mxw3HJCWgSw

(13) 13주차-Chapter 7-1. Complex Vector Spaces http://youtu.be/utkwJCnqr6c

             Chapter 7-2. CVS – Hermitian Matrices http://youtu.be/uLTzG2nwADQ

             Chapter 7-3. Complex Vector Spaces-Unitarily http://youtu.be/Ie0CEFsv_Ts

             Chapter 7-4. Complex Vector Spaces-Normal http://youtu.be/xBlaHnUcgoY

(14) 14주차-Chapter 8-1. Jordan Canonical Forms http://youtu.be/er_WQTHNgtI

             Chapter 8-2. JCF – Exponential Matrix http://youtu.be/vXGna6tyFZ4

             Chapter 8-3. Jordan Canonical Forms-CHThm http://youtu.be/ZQDZL5qxMIc

             Chapter 8-4. Jordan Canonical Forms-MinPoly http://youtu.be/42dj0ZF-5f8

(15) 15주차-Chapter 9-1. Project-BlackoutGame http://youtu.be/4sDNwr25ero

             Chapter 9-2. Project-GoogleMatrix http://youtu.be/S7M_W6SD_xE

             Chapter 9-3. Student-Project 1   http://youtu.be/ninkJVFir-w

             Chapter 9-4. Student-Project 2   http://youtu.be/-PUD4IGM21s  (종강)

(16) 16주차- Final exam and Project Presentation

                             Sang-Gu LEE, Sungkyunkwan University

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

<MT-Linear Algebra-All Solutions>

http://matrix.skku.ac.kr/2010-Album/2010-MT-all-Solution-v1-sglee/2010-MT-all-Solution-v1-sglee.html

•  MT-Chapter 9 Solutions

http://matrix.skku.ac.kr/2009/MT-Chapter9-Solution-sglee/MT-Chapter9-Solution-sglee.html

•  MT-Chapter 8 Solutions

http://matrix.skku.ac.kr/2009/MT-Chapter8-Solution-sglee/MT-Chapter8-Solution-sglee.html

•  MT-Chapter 7 Solutions:

http://matrix.skku.ac.kr/2009/MT-Chapter7-Solution-sglee/MT-Chapter7-Solution-sglee.html

•  MT-Chapter 6 Solutions:

http://matrix.skku.ac.kr/2009/MT-Chapter6-Solution-sglee/MT-Chapter6-Solution-sglee.html

•  MT-Chapter 5 Solutions:

http://matrix.skku.ac.kr/2009/MT-Chapter5-Solution-sglee/MT-Chapter5-Solution-sglee.html

•  MT-Chapter 4 Solutions:

http://matrix.skku.ac.kr/2009/MT-Chapter4-Solution-sglee/MT-Chapter4-Solution-sglee.html

•  MT-Chapter 3 Solutions:

http://matrix.skku.ac.kr/2009/MT-Chapter3-Solution-sglee/MT-Chapter3-Solution-sglee.html

•  MT-Chapter 2 Solutions:

http://matrix.skku.ac.kr/2009/MT-Chapter2-Solution-sglee/MT-Chapter2-Solution-sglee.html

•  MT-Chapter 1 Solutions:

http://matrix.skku.ac.kr/2009/MT-Chapter1-Solution-sglee/MT-Chapter1-Solution-sglee.html

4. PBL Results (Student's report of the PBL proceeding)

• Hyun-Ju Kwon, PBL Report (Final)  [PDF]

• Joo-Hern Kim, PBL Report (Final)   [PDF]

• Jung-Soo Park, PBL Report (Final)  [PDF]

• Jei-Hyung Bang, PBL Report (Final) [PDF]

• Ji-Soo Song, PBL Report (Final)    [PDF]

• Kyung-Ho Lee, PBL Report (Final)  [PDF]

• Jun-Bum Lee, PBL Report (Final)   [PDF]

• Sun-Hee Cho, PBL Report (Final)   [PDF]

• Hyun-Wook Cho, PBL Report (Final) [PDF]

• Eun-Hye Ha, PBL Report (Final)     [PDF]
 

 
                                                                          &&&&&&&&&&&&&&&&&&&&

4. Introductory Math. Modeling (SKKU-SOCW)

<수학적 모델링 입문>                                                         

                                                          이상구 교수   (Prof. Sang-Gu LEE, Sungkyunkwan University)

1. Introduction to Mathematical Modeling http://youtu.be/TXq-bVVOlNI

2. Math Models in Everyday life (Game) : Blackout game http://youtu.be/4sDNwr25ero

3. Math Models in Everyday life (Google)- Google matrix http://youtu.be/S7M_W6SD_xE

4. Introductory Models: Birthday Problem, Pigeonhole principle http://youtu.be/KKXEJdHED38

5. Rabbit Problem, Fibonacci Numbers http://youtu.be/Zi3v-lpJlQQ

6. Generalized Fibonacci sequence and Modeling http://youtu.be/_0vLZmkXCnQ

7. Gershgorin circle of Fibonacci sequence hhttp://youtu.be/SIXAhIqRPw8  

8. Mobile Math and Sage Grapher http://youtu.be/wi6QlE6gnIc

9. Graph Theory and PDE with Sage http://youtu.be/53sFHbqy3nY

10. Cryptography and Math Modeling http://youtu.be/J5LBKT5cRIs

11. Sage and GeoGebra in Math Modeling http://www.youtube.com/watch?v=OiBih9aXkHw

12. Markov Chain, Sage Matrix Calculator and Maple http://youtu.be/rKCA_-hbQXE  

13. Catalan Number and Josephus Problem http://youtu.be/OODz5nV_-co 

14. Project Proposal (1st PBL report) http://youtu.be/jp3512p-GAs

15. Midterm Exam Review: Math Modeling http://youtu.be/D2BIAuchogQ

16. Growth Models (exponential and logistic growth model) http://youtu.be/9a7HumXe9To

17. Component Analysis: population model, Extended Growth Model http://youtu.be/f7gjM-AoVhc

18. Mathematical Modeling with Computational tools http://youtu.be/ikXn20pp9Yw

19. Physical Models: Projectile Motion(Moon's Orbit) http://youtu.be/AFuJnIVZIZI

20. Projectile Motion with Air Resistance http://youtu.be/5UMW-tq7Tbk

21. Predator-Prey model: Lotka-Volterra model http://youtu.be/kQtKSOIGSgo

22. Equilibrium: Supply-Demand Model, Harvest Model http://youtu.be/PfBgfbSCAhM

23. Epidemic Models (SIR, SIS, SEIR) http://youtu.be/s1jn0dkZd6I

24. Markov Process and AHC(Analytic Hierarchy Process) http://youtu.be/iTz-A-GkMPE

25. Mathematical Modeling with Sage http://youtu.be/rfwtHr-M_5k

26. 수학과와 개척자 (Pioneers) http://youtu.be/aadIDOV9f6U

27. Mathematics and 3D Printing http://youtu.be/VENBl4bTZWE

28. Student Project Presentation http://youtu.be/XkvT-geHYZg

29. Final PBL and Zombi-Model Presentation  http://youtu.be/XkvT-geHYZg

30. SKKU Math Concert 한국수학: 전통과 첨단의 조화 http://youtu.be/lpnkqqh5zf0

31. (Output) Smartphone App on Matrix Calculator http://youtu.be/vUqPIWvxJ8I

32. (Output) Math and Art in 3D Printing http://youtu.be/RIhOBsxMvxE

Contents

A. 공학수학 1 ? 선형대수, 상미분방정식+ Lab

EM CH 0 (사용법 강의영상)  SGLee  https://youtu.be/tAMBYlw0qAs    

EM CH 0  (사용법) SGLee   https://youtu.be/3fd7z8o4OAA   

EM CH 1 (행렬과 선형대수) SGLee  https://youtu.be/tkupN5niAyw

EM CH 2     https://youtu.be/gtplgcAEH3Y  

EM CH 3  (1계 미분방정식)  https://youtu.be/aM9Iq54jzNc  

EM CH 4  (2계 미분방정식)   https://youtu.be/OC2YmKhM4CM

EM CH 5     https://youtu.be/C_1SjCQmWaE

EM CH 6     https://youtu.be/p7l4j7RaBXU  

EM Ch 7 (급수해법) JHLee  https://youtu.be/Zl0MDf0rPgw  

EM CH 8      https://youtu.be/jrEL07KnRhg

    B. 공학수학 2 - 벡터미적분, 복소해석 + Lab

EM CH 9  (벡터미분)  SGLee  https://youtu.be/a8PvRFYFPPc

EM CH 10 (벡터적분)  SGLee  https://youtu.be/75yfpSEegLc  

EM CH 11    https://youtu.be/wgrGKD24kP4

EM CH 12    https://youtu.be/T-5m6R6UNbY

EM CH 13     https://youtu.be/6SkAKBzL-oU

EM CH 14     https://youtu.be/Mq5EUQ64kxI

EM CH 15     https://youtu.be/1kanvkDeAfo

EM CH 16     https://youtu.be/3icsb_Bm9yM

[한빛아카데미] Engineering Mathematics with Sage:

[저자] 이상구, 김영록, 박준현, 김응기, 이재화

Contents

A. 공학수학 1 – 선형대수, 상미분방정식+ Lab

Chapter 00 서문  

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/E-Math/index.htm

Big Data with R by 송태민 & SGLee

※ 공개된 자료(Published Data) : 

* 참고도서 :  이상구, 이재화, 김경원, [빅북총서005] 선형대수학, BigBook, 2014.

* 참고도서 :  최용석, [빅북총서008] R과 함께하는 통계학의 이해, BigBook, 2014.

Mathematics for BigData

Lesson 1 Introduction

■ 참고 동영상   https://youtu.be/EURJnLppzKc

■ 참고 자료

위는 아래를 실습한 결과입니다  (by SGLee) 

http://matrix.skku.ac.kr/E-Math/index.htm

(English LA Textbook: Free e-book)  http://ibook.skku.edu/Viewer/LA-Text-Eng     
(Korean LA Textbook: Free e-book)  http://ibook.skku.edu/Viewer/LA-Texbook

http://www.hyundai-cmkfoundation.org/mag…/getMagazineSub.do… 
https://www.newscj.com:450/news/articleView.html… 
http://www.bigbook.or.kr/bbs/bbs/board.php?bo_table=bo16

< 수학과 코딩 : 실습실 : 크롬 브라우저에서 실행 하세요>

1. Linear Algebra and Big Data: http://matrix.skku.ac.kr/E-Math/

2. Statistics with R and Sage : http://matrix.skku.ac.kr/2015-R…/R-Sage-Statistics-Lab-1.htm
http://matrix.skku.ac.kr/2015-R…/R-Sage-Statistics-Lab-2.htm  

3. Linear Algebra and Math. Modeling : http://matrix.skku.ac.kr/SOCW-Math-Modelling.htm  
4. Linear Algebra and Numerical Linear Algebra : http://matrix.skku.ac.kr/nla/  

5. Linear Algebra and Matrix Analysis : http://matrix.skku.ac.kr/2008-Lecture/mtl/  

6. Linear Algebra and Matrix Theory:http://matrix.skku.ac.kr/MT2010/MT2010.htm  
http://matrix.skku.ac.kr/…/MT-What…/MT-What-is-it-JHLee.html   
7. Linear Algebra and Engneering Math : http://www.hanbit.co.kr/EM/sage/  
8. Multivariate Calculus : http://matrix.skku.ac.kr/Cal-Book/,
http://matrix.skku.ac.kr/Cal-Book/part2/part2.html  

9. Introductory Linear Algebra:   http://matrix.skku.ac.kr/LA/   http://matrix.skku.ac.kr/LA-K/  

10. Single Variable Calculus : http://matrix.skku.ac.kr/Cal-Book/  
http://matrix.skku.ac.kr/Cal-Book/part1/part1.html
<Key: Introductory Linear Algebra: http://matrix.skku.ac.kr/LA/ >
(2016) Math for Big Data Lectures at SKKU : http://matrix.skku.ac.kr/E-math/​

 (선물) 최첨단 영어 선형대수학 책 http://matrix.skku.ac.kr/2015-Album/Big-Book-LinearAlgebra-Eng-2015.pdf
(선물) 최첨단 한글 선형대수학 책 http://matrix.skku.ac.kr/2015-Album/BigBook-LinearAlgebra-SGLee-New-2015.pdf     Introductory Linear Algebra: 

http://matrix.skku.ac.kr/LA/
http://matrix.skku.ac.kr/LA-K/     

http://ibook.skku.edu/Viewer/KMS-70-A  

http://ibook.skku.edu/Viewer/KMS-70-B