SKKU Math Lectures and Labs
by sglee@skku.edu (Use Chrome browser, not IE)
0. [SKKU Discrete Mathematics (Spring, 2019)]
(2019, Spring) SKKU Discrete Mathematics(이산수학) Lectures
DM Ch 1 Set and Logic https://youtu.be/J75uuYR-NTs
Ch-1-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-1-Lab.html
DM Ch 2 Proofs (1) https://youtu.be/3LelrqADYUo
DM Ch-2-Proofs (2) https://youtu.be/Xqa1eylod10
Ch-2-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-2-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch1/
[Ch 1 and Ch2 (Solution) Student Presentation] https://youtu.be/V3k4rcExSLc
DM Ch 3-1 Functions https://youtu.be/Y_hAaUxEpq0
DM Ch 3-2, 3-3, String, Relation https://youtu.be/c73e13Otzng
DM Ch 3-4, 3-5, Equivalence Relations, Matrix of Relation,
Ch-3-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-3-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch3/
[Ch 3 (Solution) Student Presentation] https://youtu.be/PPgvlkCUbNY
Ch. 4 Algorithms
Ch-4-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-4-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch4/
Ch. 5 Introduction to Number Theory DM
Ch-5-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-5-Lab.html
DM 이산수학 Sec 5 1, 정수론 1, divisor https://youtu.be/yJL6lP4k0Bg
DM 이산수학 Sec 5.2, 5.3 정수론 2, Number Theory 2, 진법, 유클리드알고리즘
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch5/
[Ch 4 & 5 (Solution) Student Presentation] https://youtu.be/qVCvZc2s6eA
DM Review of the first 5 Chapters https://youtu.be/LMpAfgJ33Ts
Midterm PBL Student Presentation 1 (Dan Din, 김찬호) https://youtu.be/I1eMRnYiGgE
Midterm Exam 1 (Sample)
http://matrix.skku.ac.kr/2018-album/2018-F-DM-Midterm-Exam-Sol-F2-marked.pdf
Part V. [20 Pts] Spring 2019, DM Midterm Exam (Participation) ( 20 point/100)
<Fill this form, Print it, Bring it and submit it just before your Midterm Exam.>
(시험전에 프린트하여, 빈칸을 채워서 제출하거나, 시험 중에 확인하여 채워서 시험 시간 중에 제출하면 됩니다.)
1. (10 pt) PBL(Problem-Project Based Learning) Participations, (Quantity)
QnA Participations Numbers <Check yourself> : each weekly (From Friday - next Thursday)
QnA 참여 회수 <매주 3회 이상 필수 QnA에서 직접 확인하세요> : 각 주별 (금요일에서 목요일)
Week 1 : 2: 3: 4:
Week 5 : 6: 7: 8:
Total# : (Q: A: )
Online Lecture Participation (온라인 출석 회수): / (1-8th week)
Off-line Lecture Participation/ Absence (오프라인 출석/결석 회수) / (1-8th week)
2. (5 pt) What is your most important contribution or founding that you shared with others in QnA.(Quality)
Some from your problems with +Bonus/Final OK by SGLee
3. (5 pt) YOUR PBL(Problem-Project Based Learning) Team/Project=In-depth 심화학습 Participations
(1) Give a tentative name of your Team/Leader/Members: .
(2) [Project Chapter for each team] Your team will do Project on the following Chapter and will present what you did at the end of May. You may choose 1 or 2 Chapters of your interest in the Textbook.
[Team A]
[Team B]
[Team ?]
[Team ?]
[Independent Team]
(3) (Write what project you like to do!) You may choose 1 or 2 Problems in the Textbook Computer Exs. etc. Take a look. What will be your possible project on the Chapter and your role in your Team (Leader, Idea, Solve, Prove, Coding, Typing, Presentation etc). SQSA, 각 팀마다 맡은 Chapter 안의 Solved and Revised 된 문제들을 Final OK 받는 것이 기본이고 그 과정에서 배운 내용들과 관련하여 심화 학습을 하고 그 결과물을 발표하는 것입니다.
4. (1pt, Bonus) Write anything you like to tell me. (What are things that you have learned and recall well from QnA and HW/PBL participation?, 개인/동료와 같이 LA 강좌를 (PBl/Filpped/Action learning) 학습 하면서 배우거나 느낀 점은?)
2019 Spring Discrete Math
Midterm PBL Presentation Peer review!
Major/S.N.: ___________/______________ Name: ______________
...
※ The First or The Best
※ 평가기준 : A (10~25%), B (30~40%), C-D-F (40%) :
+, - 는 your choice
(2019, Spring) SKKU Math History Lectures
수학사-2강-동양수학과 서양수학의 만남 https://youtu.be/vBKfwF4SrUg
수학사-3강-대포의 탄생과 미적분학 https://youtu.be/a4Cyq_8icpQ
수학사-4강-전쟁-프랑스-화법기하학 https://youtu.be/30_tpCCDSaw
수학사-5강-확률론 https://youtu.be/oseQFNsc3sA
수학사-6강-통계학의 탄생 https://youtu.be/3wh7RSbsicQ
수학사 7강 보험의탄생 런던대화재 https://youtu.be/UqHpPPeQ3jw
수학사 8강 위상수학의 탄생 https://youtu.be/BkHQtlmk8Mk
수학사 9강 마방진, 추측통계학(stochastic)의 탄생 https://youtu.be/8MGQGwi21yI
...
http://matrix.skku.ac.kr/Cal-Book1/Calculus-1/
http://matrix.skku.ac.kr/Cal-Book1/Ch1/
http://matrix.skku.ac.kr/Cal-Book1/Ch2/
http://matrix.skku.ac.kr/Cal-Book1/Ch3/
http://matrix.skku.ac.kr/Cal-Book1/Ch4/
http://matrix.skku.ac.kr/Cal-Book1/Ch5/
http://matrix.skku.ac.kr/Cal-Book1/Ch6/
http://matrix.skku.ac.kr/Cal-Book1/Ch7/
http://matrix.skku.ac.kr/Cal-Book1/Ch8/
http://matrix.skku.ac.kr/Cal-Book1/Ch9/
Calculus 1 http://matrix.skku.ac.kr/PBL/
http://matrix.skku.ac.kr/Cal-Book1/Calculus-2/
http://matrix.skku.ac.kr/Cal-Book1/Ch10/
http://matrix.skku.ac.kr/Cal-Book1/Ch11/
...
Calculus 2 http://matrix.skku.ac.kr/PBL2/
0. [SKKU Discrete Mathematics (Fall, 2018)]
[Flipped/PBL/Action Learning] <2018년 이산수학>
http://matrix.skku.ac.kr/2018-DM/DM-Labs.htm 은 Discrete Math Labs (실습실)
Ch. 1, Sets and Logic & Ch. 2, Proofs
Ch-1-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-1-Lab.html
Ch. 2, Proofs
Ch-2-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-2-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch1/
[Ch 1 and Ch2 (Solution) Student Presentation](문제풀이 발표) https://youtu.be/V3k4rcExSLc
Ch. 3, Functions, Sequences, and Relations
Ch-3-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-3-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch3/
[Ch 3 (Solution) Student Presentation](문제풀이 발표) https://youtu.be/PPgvlkCUbNY
Ch. 4, Algorithms
Ch-4-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-4-Lab.html Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch4/
Ch. 5, Introduction to Number Theory
Ch-5-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-5-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch5/
[Ch 4 &5 (Solution) Student Presentation] by Chingis, https://youtu.be/qVCvZc2s6eA
Midterm Exam http://matrix.skku.ac.kr/2018-album/2018-F-DM-Midterm-Exam-Sol-F2-marked.pdf
Ch 6, Counting Methods and the Pigeonhole Principle
Ch-6-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-6-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch6/
[Ch 6 (Solution) Student Presentation](문제풀이 발표) https://youtu.be/mQuhs3SJMpQ
Ch 7, Recurrence Relations
Ch-7-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-7-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch7/
[Ch 7 (Solution) Student Presentation](문제풀이 발표) https://youtu.be/pjlo6uR5KkQ
Ch 8, Graph Theory
Ch-8-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-8-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch8/ [Ch 8 (Solution) Student Presentation](문제풀이 발표) https://youtu.be/f7_WFw6AtAE
Ch 8, Graph Theory (review part 2 Lecture) https://youtu.be/do4UjVAplp0
Ch 9, Trees
DM-Ch-9-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-9-Lab.html
Solutions http://matrix.skku.ac.kr/2018-DM-Sol/Ch9/
[Ch 9 (Solution) Student Presentation](문제풀이 발표) https://youtu.be/nvwYSFwCoFo
SKKU Discrete Math, Project-Lottery by Team 1 (강병훈 etc) https://youtu.be/q8ikammsD98
SKKU Discrete Math, Project-Cobweb by Team 2 (전종문 etc), https://youtu.be/WWCHP0wnOKw
SKKU Discrete Math, PBL 발표, 김승연, https://youtu.be/ZI8uGLRF7FA
SKKU Discrete Math, Student PBL 발표 1 (김영철 etc), https://youtu.be/Ag2jRyECK6k
SKKU Discrete Math, Student PBL 발표 2 (서명원 etc), https://youtu.be/5YqT1hi_XUE
[Sage Reference]
http://matrix.skku.ac.kr/2010-Album/Sage-QReference-SKKU.pdf
1. Discrete Mathematics (Spring, 2018) [Action Learning] <2018년 이산수학>
http://matrix.skku.ac.kr/2018-DM/DM-Labs.htm 은 Discrete Math Labs (실습실)
http://matrix.skku.ac.kr/2018-album/2018-Lectures-sglee.htm (강의실)
http://matrix.skku.ac.kr/2018-DM-QnA/ (질문과 답변)
http://matrix.skku.ac.kr/2018-DM-Sol/2018-DM-Sol.htm (문제풀이)
http://matrix.skku.ac.kr/2018-DM-PBL/ (PBL report 보고서)
http://matrix.skku.ac.kr/2018-DM-PBL-Eng/ (PBL report Eng, 영문 보고서)
[강의 동영상 & 실습실]
http://matrix.skku.ac.kr/sglee/2003-f-DM-Lecture/WhatIsDM.htm
http://matrix.skku.ac.kr/sglee/2003-f-DM-Lecture/DM-MathOfOurDay.htm
http://matrix.skku.ac.kr/sglee/2003-f-DM-Lecture/BL-DM-PBL.htm
http://matrix.skku.ac.kr/sglee/2003-f-DM-Lecture/CH-1-Lec/index.html
http://matrix.skku.ac.kr/sglee/2003-f-DM-Lecture/CH-2-Lec/index.html
http://matrix.skku.ac.kr/sglee/2003-f-DM-Lecture/CH-3-Lec/index.html
http://matrix.skku.ac.kr/sglee/catalan/catalan.htm
http://matrix.skku.ac.kr/sglee/fibonacci/fibo.htm
http://matrix.skku.ac.kr/sglee/skku-fibo/index.html
http://matrix.skku.ac.kr/sglee/skku-fibo2/3.htm
DM Ch. 1, Sets and Logic
Lecture Note http://matrix.skku.ac.kr/2018-DM/Ch-1/
DM-Ch-1-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-1-Lab.html
DM Ch. 1, 동영상강의
Ch 0 Introduction https://youtu.be/9ahFnOFTWNQ
1.1, 1.2 Propositions https://youtu.be/QgdKqmCFW2Y
1.3, 1.4 Rules of Inference https://youtu.be/92siPfThf0M
1.5, 1.6 Nested Quantifiers https://youtu.be/7M7w9eX5D0Q
DM Ch. 2, Proofs
Lecture Note http://matrix.skku.ac.kr/2018-DM/Ch-2/
DM-Ch-2-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-2-Lab.html
DM Ch. 2, 동영상강의
2.1, 2.2 More Methods of Proof Problem https://youtu.be/xEMkHb2AkYk
2.4, 2.5 Math Ind & Well-Ordering Prop https://youtu.be/areatkjOjcg
DM Ch. 3, Functions, Sequences, and Relations
Lecture Note http://matrix.skku.ac.kr/2018-DM/Ch-3/
DM-Ch-3-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-3-Lab.html
DM Ch. 3, 동영상강의
Functions, Sequences, and Relations 1 https://youtu.be/MhM_9ZuGAis
Functions, Sequences, and Relations 2 https://youtu.be/ZjAtN9HkZwM
Functions, Sequences, and Relations 3 https://youtu.be/Uuwsx2aiEPI
DM Ch. 4, Algorithms
Lecture Note http://matrix.skku.ac.kr/2018-DM/Ch-4/
DM-Ch-4-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-4-Lab.html
DM Ch. 4, 동영상강의 https://youtu.be/Dtv-9ykjFFA
DM Ch. 5, Introduction to Number Theory
Lecture Note http://matrix.skku.ac.kr/2018-DM/Ch-5/
DM-Ch-5-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-5-Lab.html
DM Ch. 5, 동영상강의
5-1 Divisors https://youtu.be/NN46r0qlIW0
5-2 Repr of Integers and Integer Alg https://youtu.be/aF5MPAjkMcI
5-3 The Euclidean Algorithm https://youtu.be/sSuzv8J3MSA
Review (Ch 1-5) https://youtu.be/aeKA-MNkhCw
PBL 학생 발표 (Ch 1-5 Solutions) https://youtu.be/HuzLCXDD2AA
Midterm Exam Solutions : https://youtu.be/iAfQCycd6ac
DM Ch 6, Counting Methods and the Pigeonhole Principle
Lecture Note http://matrix.skku.ac.kr/2018-DM/Ch-6/
DM-Ch-6-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-6-Lab.html
DM Ch. 6, 동영상강의
6.1 Basic Principles https://youtu.be/AU_AbwTSI_Y
6.2 Permutations and Combinations https://youtu.be/yBwkCoX460o
SKKU DM Ch. 6 Catalan Number (Review) https://youtu.be/N3yCdbDzQ50
SKKU DM Sec 6.3, 6.7, 6.8, 비둘기집의 원리 https://youtu.be/Rf8NlBQI9AA
DM Ch 7, Recurrence Relations
Lecture Note http://matrix.skku.ac.kr/2018-DM/Ch-7/
DM-Ch-7-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-7-Lab.html
http://discretetext.oscarlevin.com/dmoi/sec_recurrence.html
DM Ch. 7, 동영상강의 https://youtu.be/1n0dC_ICo4U
Ch 7 & 8 Preview QnA : https://youtu.be/r0M7OuRhqnc
DM Ch 8, Graph Theory
Lecture Note http://matrix.skku.ac.kr/2018-DM/Ch-8/
DM-Ch-8-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-8-Lab.html
Ch-8-Lab 2 http://matrix.skku.ac.kr/2014-Models/Graph-Project.html
http://discretetext.oscarlevin.com/dmoi/sec_gt-intro.html
(DM Sec 8.1 동영상강의) Graph Theory https://youtu.be/TSFIJBU2dX8
(DM Sec 8.2 동영상강의) Path and Cycle https://youtu.be/iqUTT5C1TOs
(DM Sec 8.3 동영상강의) Hamiltonian cycle https://youtu.be/at7Hx5wxnYk
(DM Sec 8.4 동영상강의) Shortest Path https://youtu.be/MHDJ3rALtEU
DM Ch 9, Trees
Lecture Note http://matrix.skku.ac.kr/2018-DM/Ch-9/
DM-Ch-9-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-9-Lab.html
(DM Ch 9, Part 1) https://youtu.be/v6wQeWmMBq8 (DM Ch 9, Part 2) https://youtu.be/gl1cD6-0prs
Week 15 : June 8th (Friday) 12PM-3PM Student Presentation : Final PBL 학생 발표, Final Project Presentation
Week 16 : Final Comprehensive Exam : June 15th (Friday) 1PM-2PM
Final Presentation/Exam Record 1
1. SKKU DM Ch. 1-5, 성대 이산수학, Nabil (Passed) & Wang (Passed)(7팀), PBL and Solutions of Ch 1-5, https://youtu.be/PU8eBxBYGog <--- OK
2. SKKU DM Ch. 1-9, 성대 이산수학, 주경용 (Passed with Honor) (6팀), PBL and Q&A, Ch1-9, https://youtu.be/dCppwKht5a8 <--- Good
3. SKKU DM Ch. 8, 성대 이산수학, 이세영 (Passed with Honor) (1팀), PBL and Solutions of Ch 8, 윤소정, https://youtu.be/xJA4CceS1bI <--- Good job
4. SKKU DM Ch. 9, 성대 이산수학, 이대희(Passed)(4팀), PBL and Solutions of Ch 9, https://youtu.be/xogC6K5f21s <--- Good job
5. SKKU DM 2018 이산수학, PBL and Solutions of Ch 7 by 이동욱(2팀), Ch 6 by 김민규(5팀), https://youtu.be/NoIDk3oooao <--- Good job
6. SKKU DM 2018 이산수학, QnA Ch 6-9 by 양승환(3팀), Ch 6-9 all, https://youtu.be/SyfQ6gXOLIY <--- Good job
CH 10, Network Models (if time permits)
https://www.scribd.com/document/7084685/Network-Models-05
Ch 11 Boolean Algebras and Combinatorial Circuits (if time permits)
http://ocw.nctu.edu.tw/course/digital%20design/Logic%20DesignCh02.pdf
Ch 12 Automata, Grammars, and Languages (if time permits)
http://www.utu.fi/en/units/sci/units/math/staff/Documents/karhumaki/automata05.pdf
CH 13 Computational Geometry (if time permits)
http://cs.au.dk/~gerth/cg08/index.html
Appendix
https://www.uwrf.edu/MATH/DiscreteMathematicsAppendixC.cfm
http://math.aalto.fi/opetus/dmp/lect-12/appendix-12-2-2on1.pdf
Before midterm by 양승환 (YANG, SeungHwan)
I was motivated by the learning activity which is PBL. I can review what I learned until now so I can know what part I forgot. Also, I can study new things that I couldn’t’t find. With this activity, I could be proud of myself in studying discrete math. While studying discrete math, I can review what I learned in high school such as set, proposition and algorithm. And, I can know the basis of math is very important to study new things which are very detailed. With discrete math, it is hard for me to have a trouble with the basis of math. It is lucky to take a discrete math class in first semester. Thank you professor SGLee for helping students passionately. It was a great time to make PBL.
After midterm
중간고사 이후 팀 프로젝트를 하면서 색다른 느낌을 받았습니다. 개인 프로젝트는 대부분 수정을 하지 않고 개인이 질문 있는 것을 수정 받고 finalize 하는 것이 였는데 팀으로 할 때는 정반대로 다른 사람들의 질문들을 고쳐주고 finalize 하게 되었습니다. 개인 프로젝트처럼 복습을 하기보단 새로운 것(코딩, 다른 예시)을 배우는 계기가 되었고 수업에서 배웠던 것에만 머무르는 것이 아닌 배운 것 들과 연관된 다양한 것들을 연구하고 찾아보자 라는 생각이 들게 한 시간이었습니다. 그리고 팀 3조로 6,7,8,9 단원을 총 정리하는 임무를 받게 되었는데 정말 좋았습니다. 총 4단원을 정리를 하니까 힘이 들긴 하지만 다른 조들이 Q&A에 올린 것을 보면서 공부를 하게 되니 팀3조에만 머물러 있는 것이 아니라 다른 조들이 한 것들을 활용해서 공부하고 복습할 수 있었습니다. 이번 팀 프로젝트는 저에게 매우 만족스러웠으며 다 같이 협동하고 열심히 해준 우리 조에게 정말 감사하고 수고했다는 말을 전해주고 싶습니다.
저희 팀 3조(양승환, 이상철, 양승찬, 이혜정, 강민구)에서 모든 조원이 참여를 하게 되어서 너무 기분이 좋습니다. 처음에 누구 한 명 정해진 일을 안하고 빠지지 않을까 라는 걱정이 들긴 했는데 다들 자기가 정해진 일에 최선을 다하고 완벽히 하게 되어 서로서로 너무 칭찬을 하고 싶습니다. 팀 3조가 PBL Report를 하면서 제일 좋았던 일은 아무런 갈등없이 5개의 일을 나누는 것이었습니다. 1. 발표와 PBL Report 만들기 2. 문제 풀기(손으로) 3. 타이핑하기 4. Revise 하기 5. Finalize 하기 였는데 서로 하고 싶은 것이 있음에도 불구하고 서로서로 양보하여 각자의 일을 정확하게 나눌 수 있었습니다. 우리 팀 3조 너무 수고했고 박수를 쳐드리고 싶습니다.
2. SKKU Calculus
[동영상 강의]
1.1 History of Calculus http://youtu.be/ODfMaHgIhAc
How to manage our class Review http://youtu.be/XWEQFlv4jKc
미적분학의 개념 http://matrix.skku.ac.kr/Calculus-Story/index.htm
Chapter 1. Functions
http://youtu.be/cl8GqIWIRD0
문제풀이 by 곽주현 http://youtu.be/BNKUzSohiD8
문제풀이 by 장찬영 http://youtu.be/x0E0ZMxZ3Og
문제풀이 by 임효정 http://youtu.be/vx7GCWY68Zw
Chapter 2. Limits and Continuity
2.1 Limits of functions http://youtu.be/VBCeAllP1M0
문제풀이 by 장재철-이훈정, http://youtu.be/LZSmRPAAXME
문제풀이 by 황인철 http://youtu.be/hj8d-j_DGf4
2.2 Continuity http://youtu.be/zGxx3PUCTnM
문제풀이 by 이훈정 http://youtu.be/azrkT1RP4-c
Chapter 3. Theory of Differentiation
3.1 Definition of Derivatives, Differentiation http://youtu.be/A-vDsF9ulTs
문제풀이 by 김태현 http://youtu.be/7wTBWuk2CzU
3.2 Derivatives of Polynomials, Exponential Functions, Trigonometric Functions, The product rule http://youtu.be/XXMnCESesfQ
문제풀이 by 조건우 http://youtu.be/Ei5KGW9vZhE
3.3 The Chain Rule and Inverse Functions http://youtu.be/HfScHEsPfKI
문제풀이 by 유휘의 http://youtu.be/aSKm12922FE
3.4 Approximation and Related Rates http://youtu.be/ViRwEJ0Wfkw
문제풀이 by 김종민 http://youtu.be/JmBOv6_D6qA
Chapter 4. Applications of Differentiation
4.1 Extreme values of a function http://youtu.be/mXVU8OqIHJY
문제풀이 by 김태영 http://youtu.be/_V4MryNEzWY
4.2 The Shape of a Graph http://youtu.be/cZrAF_77On4
문제풀이 by 김태영 http://youtu.be/SVOWADHlzV8
4.3 The Limit of Indeterminate Forms and L’Hospital’s Rule
문제풀이 by 신종희 http://youtu.be/gR2luDDPsMY
4.4 Optimization Problems http://youtu.be/k0NtkmZFnh8
문제풀이 by 이승철 http://youtu.be/AELEV2ElaeQ
4.5 Newton’s Method http://youtu.be/VxCfl2JzMYU
문제풀이 by 이승철 http://youtu.be/fdBHQ46g9RE
Chapter 5. Integrals
5.1 Areas and Distances http://youtu.be/mT_oxlD6RSA
문제풀이 by 남택현 http://youtu.be/Y_nCn76RPmY
5.2 The Definite Integral http://youtu.be/GIm3Oz58Ti8
문제풀이 by 남택현 http://youtu.be/iUsf1h_hTAE
5.3 The Fundamental Theorem of Calculus http://youtu.be/Zf1HT2H2fbA
문제풀이 by 정승찬 & Kim http://youtu.be/Pa4Z38KkDVY
5.4 Indefinite Integrals and the Net Change Theorem
5.5 The Substitution Rule http://youtu.be/h7tmvmNOliU
문제풀이 by 이한울 http://youtu.be/0TMbpCPO4Uc
5.6 The Logarithm Defined as an Integral http://youtu.be/kD0Z9PqetsA
문제풀이 by 이한울 http://youtu.be/ymDImdIQ90c
미적분학 with Sage Midterm Exam http://youtu.be/QAEI7A2DMMM
Chapter 6. Applications of Integration
6.1 Areas between Curves http://youtu.be/o53phm5cqJE
6.2 Volumes http://youtu.be/4-ChOAFbJAs
문제풀이 by 김종민 http://youtu.be/Fd4Mguf2dbU
6.3 Volumes by Cylindrical Shells http://youtu.be/qM1izf8qeX8
문제풀이 by 신영찬 http://youtu.be/gNaKkA0UNHg
6.4 Work http://youtu.be/u3ZaJWhKy6k
문제풀이 by 김건호 http://youtu.be/SmIo2yaxNsY
6.5 Average Value of a Function http://youtu.be/zmEeGmwQTB0
문제풀이 by 신종희 http://youtu.be/BVahd-DJoe8
Chapter 7. Techniques of Integration
7.1 Integration by Parts http://youtu.be/WX-6C9tCneE
문제풀이 by 이인행 http://youtu.be/jKCAGJ4HqvQ
7.2 Trigonometric Integrals http://youtu.be/sIR0zNGQbus
문제풀이 by 김태현 http://youtu.be/ytETYf1wLbs
7.3 Trigonometric Substitution http://youtu.be/avTqiEUi8u8
문제풀이 by 이훈정 http://youtu.be/utTQHIabTyI
7.4 Integration of Rational Functions by the Method of Partial Fractions
문제풀이 by 장재철 http://youtu.be/SkNW_bax0YI
7.5 Guidelines for Integration http://youtu.be/Fgn8U4We60o
문제풀이 by 김대환 http://youtu.be/-N9Fe_Arp2c
7.6 Integration Using Tables http://youtu.be/tn9jLkgTMp8
문제풀이 by 조건우 http://youtu.be/EnEQ9ZS3B_k
7.7 Approximate Integration http://youtu.be/hg2pw1n1cZI
7.8 Improper Integrals http://youtu.be/rquxbYrC0Yc
문제풀이 by 이송섭 http://youtu.be/C3kb4c9nLXM
문제풀이 by 이인행 http://youtu.be/dfSkjvmSXYo
Chapter 8. Further Applications of Integration
8.1 Arc Length http://youtu.be/7OVqI20z_Bw
문제풀이 by 남택현 http://youtu.be/A8N-mDD0ja8
8.2 Area of a Surface of Revolution http://youtu.be/Eq4i2A8eKxA
문제풀이 by 정승찬 http://youtu.be/yZFJDJgTJfw
8.3 Applications of Integral Calculus http://youtu.be/1ZAJeP16pAQ
8.4 Differential equations http://youtu.be/uHfOjz8I4-s
Chapter 9. Infinite Sequences and Infinite Series
9.1 Sequences and Series http://youtu.be/rz8ZS4Y_cvc
문제풀이 by 문지호 http://youtu.be/Qo0MArZG2EA
문제풀이 by 이원준 http://youtu.be/O6y1v5fJA0k
9.2 Tests for convergence of series with positive terms
문제풀이 by 김범윤 http://youtu.be/1flKAnlv9LA
9.3 Alternating Series and Absolute Convergence http://youtu.be/NtSitFNv9Mk
문제풀이 by 계성곤 http://youtu.be/e_5D0dzrqwc
9.4 Power Series http://youtu.be/426kkrMArgs
문제풀이 by 배성준 http://youtu.be/R3AcB12z2kk
9.5 Taylor, Maclaurin, and Binomial Series http://youtu.be/3zSPSvYHJQI
문제풀이 by 우시명 http://youtu.be/NSFrYRYZ6Qc
Chapter 10. Parametric Equations and Polar Coordinates
10.1 Parametric Equations http://youtu.be/hQGCZk1tpuA
문제풀이 by 문지호 http://youtu.be/uz1DkKVeD2k
문제풀이 by 임효정 http://youtu.be/Ybs68e0iMZI
10.2 Calculus with Parametric Curves http://youtu.be/QFMSbGKhoX4
문제풀이 by 장찬영 http://youtu.be/yF5oZOQVnCE
10.3 Polar Coordinates http://youtu.be/lKPJeAGw0ZA
문제풀이 by 계성곤 http://youtu.be/smAmDRK-tWY
문제풀이 by 황인철 http://youtu.be/4hoVKvk8dq0
10.4 Areas and Lengths in Polar Coordinates
문제풀이 by 곽주현 http://youtu.be/LRmasW9uqYY
10.5 Conic Section
http://matrix.skku.ac.kr/2014-Album/Quadratic-form/index.htm
문제풀이 by 변희성 http://youtu.be/ONItxvlsnb8
문제풀이 by 이한울 http://youtu.be/CZ9SHMtqVy4
Chapter 11. Vectors and the Geometry of Space
11.1 Three-Dimensional Coordinate Systems
문제풀이 by 김태현 http://youtu.be/_s_2T1VVob8
11.2 Vectors
문제풀이 by 오교혁 http://youtu.be/BFgh6irMqsc
11.3 The Dot Product
11.4 The Vector or Cross Product
11.5 Equations of Lines and Planes
문제풀이 by 구본우 http://youtu.be/lxuGE_Erthg
11.6 Cylinders and Quadric Surfaces
Chapter 12. Vector Valued Functions
12.1 Vector-Valued Functions and Space Curves
문제풀이 by 최양현 http://youtu.be/jvMI6OzdR_I
12.2 Calculus of Vector Functions
문제풀이 by 김동윤 http://youtu.be/VS5rPyOjP2I
12.3 Arc Length and Curvature
*12.4 Motion Along A Space Curve: Velocity and Acceleration
Chapter 13. Partial Derivatives
13.1 Multivariate Functions
문제풀이 by 구본우 http://youtu.be/As_0AYApHlM
13.2 Limits and Continuity of Multivariate Functions
13.3 Partial Derivatives http://youtu.be/LR89Ct3cEDY
문제풀이 by 김동윤 http://youtu.be/rSYLp1mSMXY
13.4 Differentiability and Total Differentials
문제풀이 by 김범윤 http://youtu.be/qDmCWBiXbIA
13.5 The Chain Rule http://youtu.be/r3dGYL1vkEU
문제풀이 by 김유경 http://youtu.be/vzN5By6qzvM
13.6 Directional Derivatives and Gradient http://youtu.be/o8L_ShRANjo
문제풀이 by 김태현 http://youtu.be/2_7TOUuzJoE
13.7 Tangent Plane and Differentiability http://youtu.be/uOf-5YHKGI4
문제풀이 by 서용태 http://youtu.be/GDkE8OqUvsk
13.8 Extrema of Multivariate Functions http://youtu.be/oDZUkOEszOQ
문제풀이 by 오교혁 http://youtu.be/FWmk_MasIjE
13.9 Lagrange Multiplier
문제풀이 by 이원준 http://youtu.be/YMGdQWBzyrI
Chapter 14. Multiple Integrals
14.1 Double Integrals http://youtu.be/jZ2pAmPZYOE
문제풀이 by 이인행 http://youtu.be/w8g9fgcEP4A
14.2 Double Integrals in Polar Coordinates http://youtu.be/olQgihl5aZg
문제풀이 by 이지석 http://youtu.be/jpsObxtZ50A
14.3 Surface Area http://youtu.be/p9R0TTLfBzk
14.4 Cylindrical Coordinates and Spherical Coordinates
문제풀이 by 최양현 http://youtu.be/F9u6pMubVRs
14.5 Triple Integrals http://youtu.be/r1tzH9Ibbqk
문제풀이 by 이인행 http://youtu.be/C-uPM3km96k
14.6 Triple Integrals in Cylindrical and Spherical Coordinates
14.7 Change of Variables in Multiple Integrals http://youtu.be/INn-bkgXYNg
Chapter 15. Vector Calculus
15.1 Vector Differentiation http://youtu.be/q0aVmUCXgTI
문제풀이 by 김동윤 http://youtu.be/iSUME4Q1WPM
15.2 Line Integrals http://youtu.be/wHINlpNXYaU
문제풀이 by 김범윤 http://youtu.be/ZdRjCfJeHM8
15.3 Independence of the Path http://youtu.be/jGGOL3QDj1Y
문제풀이 by 김유경 http://youtu.be/TreCe8ESEiU
15.4 Green’s Theorem in Plane http://youtu.be/WxdTbaSb_ZI
문제풀이 by 서용태 http://youtu.be/wLTHYaANwtI
15.5 Curl and Divergence http://youtu.be/IswmJUCTeNA
문제풀이 by 오교혁 http://youtu.be/j7F3xVNdHvA
15.6 Surface and Area http://youtu.be/xX6tNVpegbs
15.7 Surface Integrals http://youtu.be/nrzIrM4doLo
문제풀이 by 이원준 http://youtu.be/s_MRgW2By38
15.8 Stokes’ Theorem http://youtu.be/t4skc_PzJvg
15.9 Divergence Theorem http://youtu.be/3BmcFr81kuQ
문제풀이 by 최주영 http://youtu.be/vGMLoGWF1Is
[실습실] http://matrix.skku.ac.kr/Cal-Book/
Part I Single Variable Calculus
http://matrix.skku.ac.kr/Cal-Book/part1/part1.html
Part II Multivariate Calculus
http://matrix.skku.ac.kr/Cal-Book/part2/part2.html
[Grapher]
http://matrix.skku.ac.kr/cal-lab/sage-grapher-integral2.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-inverse.html
http://matrix.skku.ac.kr/cal-lab/cal-Newton-method.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-derivatives.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-integral.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-integral2.html
http://matrix.skku.ac.kr/cal-lab/SKKU-Cell-Matrix-Calculator.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-butterfly.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-cochleoid.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-dewdrop.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-epicycloid.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-flower.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-pinwheel.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Gear-Curve.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Bicorn.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Cartesian-Oval.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Double-Folium.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Figure-Eight-Curve.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Folium.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Involute-of-a-Circle.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Kappa-Curve.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Lame-Curves.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Lituus.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Nephroid.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Pearls-of-Sluze.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Serpentine.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Tricuspoid.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Fermat-Spiral.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Freeth-Nephroid.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Durer-Shell-Curves.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Newton-Diverging-Parabolas.html
http://matrix.skku.ac.kr/cal-lab/sage-grapher-Talbot-Curve.html
3. Linear Algebra (English)
[Linear Algebra Syllabus (선형대수학 수업계획서)]
http://matrix.skku.ac.kr/2017-Album/LA-syllabus.htm
Linear Algebra, First Class, Syllabus-Review https://youtu.be/43nhECDzfiE
(English Textbook) http://goo.gl/t3JcNP
[Lectures Recorded]
http://matrix.skku.ac.kr/2017-Album/2017-Spring-Lectures.htm
http://matrix.skku.ac.kr/2015-LA-FL/Linear-Algebra-Flipped-Class-SKKU.htm
Linear Algebra Lecture Note (English) http://matrix.skku.ac.kr/LA/
Linear Algebra Lecture Note (Korean) http://matrix.skku.ac.kr/LA-K/
Linear Algebra Simulations: http://matrix.skku.ac.kr/LinearAlgebra.htm
Chapter 1. Vectors
*1.1 Vectors in n-space and *1.2 Inner product and Orthogonality
1.3 Vector Equations of lines and planes https://youtu.be/MR1md8R1T_g
Chapter 2. Linear system of equations
2.1 Linear System of Equations, https://youtu.be/JbfSo5G6JR0
Review https://youtu.be/nhYG5uuGHqU
2.2 Gaussian and Gauss-Jordan elimination, https://youtu.be/ySncbrZTdMk
2.2–2.3 Exercise https://youtu.be/ySncbrZTdMk https://youtu.be/khbfoZBFfvA
2.4 Exercises, https://youtu.be/khbfoZBFfvA
Chapter 3. Matrix and Matrix Algebra
3.1 Matrix operation https://youtu.be/rDt3EOGl9lg
3.2 Inverse matrix https://youtu.be/o2iT6ZT5WIU
3.3 Elementary matrix https://youtu.be/DubGO81dTAI
3.4 (part 1) Subspace https://youtu.be/gNm7yzk8ess
3.4 (part 2) Linear independence https://youtu.be/LswYaDbj4ds
3.5 Solution set of a linear system and matrix https://youtu.be/7zZDGgPGE4s
3.6 Special matrices and Sec 3.8 Exs/Sol https://youtu.be/gve7cYW3W9I
*3.7 LU-decomposition http://youtu.be/lKJPnLCiAVU
Student Review : Ch3-Ch2-Ch1 https://youtu.be/m4ZEHknJMZY
Chapter 4. Determinant
4.1 Definition and Properties of the Determinants https://youtu.be/ltxi0hCUILg
4.2 Cofactor Expansion/ Appl of Determinants https://youtu.be/Yn5qu_062sA
4.3 Cramer's Rule https://youtu.be/rAmfnERqfU8
*4.4 Application of Determinant https://youtu.be/APsZ33BBOVs
4.5 Eigenvalues/Eigenvectors & 4.6 Excercise https://youtu.be/s1OI74nr660
Chapter 5. Matrix Model
5.1 Lights out Game http://youtu.be/_bS33Ifa29s
5.2 Power Method http://youtu.be/CLxjkZuNJXw
5.3 Linear Model (Google) http://youtu.be/WNUoXLh8i_E
Project: http://youtu.be/coNq48CW6Pg
- Ch 5 Matrix Model 학생 발표 https://youtu.be/4u9LtmX7lvk
Chapter 6. Linear Transformations
6.1 Matrix as a Function (Transformation) https://youtu.be/Es4BfHnIq7g
6.2 Geometric Meaning of LT (part 1) https://youtu.be/V6m0PKQm6es
(part 2) https://youtu.be/qeRmhJQIphI
6.3 Kernel and Range https://youtu.be/7OfNTNl6IjI
6.4 Composition of LT and Invertibility https://youtu.be/Im7uaogKySw
*6.5 Computer Graphics with Sage https://youtu.be/45zSkGN7inw
6.6 Exercises https://youtu.be/pJgIaHpIhsM
Chapter 6. QnA Review https://youtu.be/snQsn2J_tuA
LA Midterm PBL 1 Presentation https://youtu.be/WG-HFdER5Ro
LA PBL and Ch6 and Ch4 Student Review https://youtu.be/xq4YyRtzTKg
http://matrix.skku.ac.kr/2016-album/LA-Sol-Ch-1-2-3-4-6/index.html
http://matrix.skku.ac.kr/LA-Lab/Solution/
http://matrix.skku.ac.kr/2016-album/LA-Main-Theorems/index.html
Sample Midterm Exam: http://matrix.skku.ac.kr/LA/2016-S-LA-Midterm-Final-Solution.pdf
LA Midterm Exam
http://matrix.skku.ac.kr/2017-Album/2017-S-LA-Midterm-Exam-Final-3.pdf
LA Midterm Exam Sol
http://matrix.skku.ac.kr/2017-Album/2017-S-LA-Midterm-Exam-Solution-Final3.pdf
LA Midterm Exam Sol
http://matrix.skku.ac.kr/2017-Album/LA-Midterm-Exam-Solution.htm (image)
2017 Spring LA Midterm Exam Review https://youtu.be/DOhahD4Nb44
Chapter 7. Dimension and Subspaces
7.1 and 7.2 (Review) Bases and dimensions, Basic spaces
7.3,7.4, 7.5, Rank-Nullity theorem, Rank theorem, Projection theorem
*7.6 Least square solution https://youtu.be/GwHh5lh5wEs
Grade/QnA/ Review: https://youtu.be/eEAHVs351u8
7.7 Gram-Schmidt orthonormalization process https://youtu.be/Px6Gaks9fXQ
* 7.8 QR-Decomposition; Householder
7.9 Coordinate vectors https://youtu.be/VR9FoZDQmAo
Chapter 8. Diagonalization
8.1 Matrix Representation of LT https://youtu.be/LpIR47W_stw
8.2 Similarity and Diagonalization https://youtu.be/wqrLcfSeL8Q
8.3 Diagonalization with orthogonal matrix https://youtu.be/5Sg-Edczw_g
8.4 Quadratic forms and Sec *8.5 Appl. https://youtu.be/mjAr3ddevE8
8.6 SVD and Pseudo-Inverse https://youtu.be/KU5l-XWDJuo
8.7 Complex eigenvalues and eigenvectors https://youtu.be/-l7uTfYHjFU
8.8 Hermitian, Unitary, Normal Matrices https://youtu.be/NRTmmmC-L9k
*8.9 Linear system of differential equations
http://www.hanbit.co.kr/EM/sage/1_chap6.html
Chapter 9. General Vector Spaces
9.1 Axioms of Vector Space, https://youtu.be/RnKjspG65AM
9.2 Inner product spaces; *Fourier Series, https://youtu.be/J0s8AkP4E38
9.3 Isomorphism, https://youtu.be/WiZZtF0c1hY
Chapter 10. Jordan Canonical Form
10.1 Finding the Jordan Canonical Form with a Dot Diagram
https://youtu.be/8fwPPOg8LW0 https://youtu.be/1E3wXN1oZyc
*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
학생 문제 풀이, https://youtu.be/y4173MpjoxE http://youtu.be/9-G3Fd2xOW0 Chapter 10 http://www.youtube.com/watch?v=adWzUKKmO2k
4. Linear Algebra (Korean)
[선형대수학 Korean Lectures – 우리말 강의 (동영상)]
PBL - Flipped Learning http://youtu.be/Mxp1e2Zzg-A
Lecture 1 Introduction http://youtu.be/w7IzR4nGa3Q
(Korean) http://matrix.skku.ac.kr/2015-Album/Big-Book-LinearAlgebra-Eng-2015.pdf
(디지털 교과서) http://matrix.skku.ac.kr/LA-K/
Chapter 1. Vectors
1.1 벡터 and 1.2 내적 http://youtu.be/aeLVQoPQMpE
1.3 벡터방정식 http://youtu.be/4UGACWyWOgA
Chapter 2. Linear system of equations
2.1 선형연립방정식 http://youtu.be/CiLn1F2pmvY
2.2 Gauss-Jordan 소거법 http://youtu.be/jnC66zvqHJI
Chapter 3. Matrix and Matrix Algebra
3.1 행렬연산 http://youtu.be/DmtMvQR7cwA
3.2, 3.3 역행렬과 기본행렬 http://youtu.be/GCKM2VlU7bw
3.4 부분공간 http://youtu.be/HFq_-8B47xM
3.5 해공간 3.6 특수행렬 http://youtu.be/daIxHJBHL_g
Chapter 4. Determinant
4.1 행렬식 http://youtu.be/DM-q2ZuQtI0
4.2 여인자 전개와 역행렬 http://youtu.be/XPCD0ZYoH5I
4.3 크래머의 법칙 4.4. Appl, 4.5 고유값, 고유벡터
Chapter 6. Linear Transformations
6.1 선형변환 http://youtu.be/YF6-ENHfI6E
6.2 선형변환의 기하학적 의미 http://youtu.be/cgySDj-OVlM
6.3 핵과 치역 http://youtu.be/9YciT9Bb2B0
6.4 선형변한의 합성과 역행렬 http://youtu.be/EOlq4LouGao
LA Midterm Exam http://youtu.be/R3F3VNGH8Oo
Chapter 7. Dimension and Subspaces
7.1 기저와 차원 http://youtu.be/or9c97J3Uk0
7.2 주요 부분공간들 https://youtu.be/BC9qeR0JWis
7.3 Rank Nullity Theorem http://youtu.be/ez7_JYRGsb4
7.4 계수정리 http://youtu.be/P4cmhZ3X7LY
7.5 정사영정리 http://youtu.be/GlcA4l8SmlM
7.6* 최소제곱해 https://youtu.be/BC9qeR0JWis
7.7 Gram-Schmidt의 정규직교화과정 http://youtu.be/gt4-EuXvx1Y
7.8* QR-분해, Householder transformations https://youtu.be/crMXPi2lgGs
7.9 좌표벡터 http://youtu.be/M4peLF7Xur0
Chapter 8. Diagonalization
8.1 선형변환의 행렬표현 http://youtu.be/gn5ve1tXD7k
8.2 닮음과 행렬의 대각화 http://youtu.be/xirjNZ40kRk
8.3 직교대각화 http://youtu.be/jimlkBGAZfQ
8.4 이차형식 http://youtu.be/vWzHWEhAd-k
8.5* Appl of Quadratic Function http://youtu.be/cOW9qT64e0g
8.6 Singular Value Decomposition https://youtu.be/ejCge6Zjf1M
8.7 and 8.8 복소고유값, 복소고유벡터, 정규행렬 http://youtu.be/8_uNVj_OIAk
Chapter 9. General Vector Spaces
9.1 and 9-2 일반벡터공간, 내적공간 http://youtu.be/m9ru-F7EvNg
9.3 동형사상 http://youtu.be/frOcceYb2fc
Chapter 10. Jordan Canonical Form
10.1 Jordan 표준형 http://youtu.be/NBLZPcWRHYI
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
PBL 보고서 by 김병찬 &우시명 http://youtu.be/hUDuQ8e8HsU
by 손홍철 http://youtu.be/woyS_EYWiDs
by 박민 http://youtu.be/E-5m65-8Ea8
by 전승준 http://youtu.be/JHT6aTQhr-A
by 김태용, 이학현, 이종화 http://youtu.be/JFVM4KRr2nc
(16주차) 기말고사
http://matrix.skku.ac.kr/2015-Album/CLA-Final-Sample-Exam.pdf
[실습실]
Manual http://matrix.skku.ac.kr/Lab-Book/Sage-Lab-Manual-2.htm
http://matrix.skku.ac.kr/2018-album/LA-Sec-1-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-1-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-1-3-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-2-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-2-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-3-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-4-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-5-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-3-6-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-4-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-4-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-4-5-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-6-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-6-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-6-3-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-6-4-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-3-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-4-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-7-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-7-9-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-8-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-8-2-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-8-3-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-8-8-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-9-1-lab.html
http://matrix.skku.ac.kr/2018-album/LA-Sec-9-3-lab.html
5. Math History (수학사)
[강의 동영상]
<사회수학 : 400년의 파란만장 강의>
http://matrix.skku.ac.kr/SOCW-sglee.htm
http://matrix.skku.ac.kr/2012-album/Math-Society-400Years0001.htm
6. Engineering Math with Sage (공학수학)
[무료 전자책]
(Sample Book1) http://www.hanbit.co.kr/preview/4210/sample.pdf
(Sample Book2) http://www.hanbit.co.kr/preview/4209/sample.pdf
[실습실]
http://www.hanbit.co.kr/EM/sage/
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
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
7. Statistics (통계학)
[실습실]
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
[무료 전자책]
최용석, [빅북총서008] R과 함께하는 통계학의 이해, BigBook, 2014.
8. Linear Algebra and Matrix Theory (행렬론)
[강의 동영상]
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
[MT-Linear Algebra-Solutions]
All Solutions
http://matrix.skku.ac.kr/2010-Album/2010-MT-all-Solution-v1-sglee/2010-MT-all-Solution-v1-sglee.html
Chapter 1 Solutions:
http://matrix.skku.ac.kr/2009/MT-Chapter1-Solution-sglee/MT-Chapter1-Solution-sglee.html
Chapter 2 Solutions:
http://matrix.skku.ac.kr/2009/MT-Chapter2-Solution-sglee/MT-Chapter2-Solution-sglee.html
Chapter 3 Solutions:
http://matrix.skku.ac.kr/2009/MT-Chapter3-Solution-sglee/MT-Chapter3-Solution-sglee.html
Chapter 4 Solutions:
http://matrix.skku.ac.kr/2009/MT-Chapter4-Solution-sglee/MT-Chapter4-Solution-sglee.html
Chapter 5 Solutions:
http://matrix.skku.ac.kr/2009/MT-Chapter5-Solution-sglee/MT-Chapter5-Solution-sglee.html
Chapter 6 Solutions:
http://matrix.skku.ac.kr/2009/MT-Chapter6-Solution-sglee/MT-Chapter6-Solution-sglee.html
Chapter 7 Solutions:
http://matrix.skku.ac.kr/2009/MT-Chapter7-Solution-sglee/MT-Chapter7-Solution-sglee.html
Chapter 8 Solutions
http://matrix.skku.ac.kr/2009/MT-Chapter8-Solution-sglee/MT-Chapter8-Solution-sglee.html
Chapter 9 Solutions
http://matrix.skku.ac.kr/2009/MT-Chapter9-Solution-sglee/MT-Chapter9-Solution-sglee.html
9. Linear Algebra and Matrix Analysis (행렬해석)
[강의 동영상]
http://matrix.skku.ac.kr/2008-Lecture/mtl/
10. Numerical Linear Algebra (수치선형대수)
[강의 자료]
11. Math Modeling (수학적 모델링)
[강의 동영상]
http://matrix.skku.ac.kr/SOCW-Math-Modelling.htm
[실습실]
http://matrix.skku.ac.kr/MathModeling/Bank-Interest.html
http://matrix.skku.ac.kr/MathModeling/Power-method.html
http://matrix.skku.ac.kr/MathModeling/Markov-Chain.html
http://matrix.skku.ac.kr/MathModeling/Fibonacci-Numbers.html
http://matrix.skku.ac.kr/MathModeling/Growth-Model.html
http://matrix.skku.ac.kr/MathModeling/Exponential-Growth-Model.html
http://matrix.skku.ac.kr/MathModeling/Supply-Demand-Model.html
http://matrix.skku.ac.kr/MathModeling/Accelerator-multiplier-Model.html
http://matrix.skku.ac.kr/MathModeling/SIR-Model.html
12. Math for Big Data (빅데이터를 위한수학)
[강의 동영상 & 실습실]
http://matrix.skku.ac.kr/e-math/
by sglee@skku.edu