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SKKU Math Lectures and Labs

by sglee@skku.edu   (Use Chrome browser, not IE)

R을 활용한 기초 통계학 실습실 Lab 1

R을 활용한 기초 통계학 실습실 Lab 2

http://matrix.skku.ac.kr/2018-album/R-Sage-Stat-Lab-2.html

Calculus

http://matrix.skku.ac.kr/Cal-Book1/Ch1/

http://matrix.skku.ac.kr/Cal-Book1/Ch2/

http://matrix.skku.ac.kr/Cal-Book1/Ch5/

After semester <PBL report>

http://matrix.skku.ac.kr/Cal-Book1/Calculus-1/index.htm

[Math, Art & 3D printing] (Math & Coding)

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

0. [SKKU Discrete Mathematics (Spring, 2019)]

(2019, Spring) SKKU Discrete Mathematics(이산수학) Lectures

DM Ch 1 Set and Logic           https://youtu.be/J75uuYR-NTs

DM Ch 2 Proofs (1)              https://youtu.be/3LelrqADYUo

DM Ch-2-Proofs (2)             https://youtu.be/Xqa1eylod10

[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 (Solution) Student Presentation] https://youtu.be/PPgvlkCUbNY

Ch. 4 Algorithms

Ch. 5 Introduction to Number Theory DM

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

[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/2019-Album/2019-S-DM-Midterm-Exam-F4-Sol.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

(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%) :

(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/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/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  Discrete Math Labs (실습실)

Ch. 1, Sets and Logic &  Ch. 2, Proofs

Ch. 2, Proofs

[Ch 1 and Ch2 (Solution) Student Presentation](문제풀이 발표https://youtu.be/V3k4rcExSLc

Ch. 3, Functions, Sequences, and Relations

[Ch 3 (Solution) Student Presentation](문제풀이 발표https://youtu.be/PPgvlkCUbNY

Ch. 4, Algorithms

Ch. 5, Introduction to Number Theory

[Ch 4 &5 (Solution) Student Presentation] by Chingis, https://youtu.be/qVCvZc2s6eA

Ch 6, Counting Methods and the Pigeonhole Principle

[Ch 6 (Solution) Student Presentation](문제풀이 발표https://youtu.be/mQuhs3SJMpQ

Ch 7, Recurrence Relations

[Ch 7 (Solution) Student Presentation](문제풀이 발표https://youtu.be/pjlo6uR5KkQ

Ch 8, Graph Theory

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

[Ch 9 (Solution) Student Presentation](문제풀이 발표https://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 발표김승연https://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-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/CH-3-Lec/index.html

​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, 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 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, 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)(7), PBL and Solutions of Ch 1-5, https://youtu.be/PU8eBxBYGog <--- OK

2. SKKU DM Ch. 1-9, 성대 이산수학, 주경용 (Passed with Honor) (6), PBL and Q&A, Ch1-9, https://youtu.be/dCppwKht5a8 <--- Good

3. SKKU DM Ch. 8, 성대 이산수학, 이세영 (Passed with Honor) (1), PBL and Solutions of Ch 8, 윤소정, https://youtu.be/xJA4CceS1bI <--- Good job

4. SKKU DM Ch. 9, 성대 이산수학, 이대희(Passed)(4), 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(2), Ch 6 by 김민규(5), https://youtu.be/NoIDk3oooao <--- Good job

6. SKKU DM 2018 이산수학, QnA Ch 6-9 by 양승환(3), Ch 6-9 all, https://youtu.be/SyfQ6gXOLIY <--- Good job

CH 10, Network Models (if time permits)

Ch 11 Boolean Algebras and Combinatorial Circuits (if time permits)

Ch 12 Automata, Grammars, and Languages (if time permits)

CH 13 Computational Geometry (if time permits)

Appendix

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’tt 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. 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 3(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. 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

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

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

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

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

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

Part I  Single Variable Calculus

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

Part II  Multivariate Calculus

[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-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)]

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

https://youtu.be/f6eKIuLE-Ko

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

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

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

Sample Midterm Examhttp://matrix.skku.ac.kr/LA/2016-S-LA-Midterm-Final-Solution.pdf

LA Midterm Exam

LA Midterm Exam Sol

LA Midterm Exam Sol

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

https://youtu.be/45J08qGSzmk

7.3,7.4, 7.5, Rank-Nullity theorem, Rank theorem, Projection theorem

*7.6 Least square solution  https://youtu.be/GwHh5lh5wEs

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

https://youtu.be/9IeskMZ_hn4

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

*10.2 Jordan Canonical Form and Generalized Eigenvectors,

https://youtu.be/lK4_Kp6P_N4

10.3 Jordan Canonical Form and CAS, https://youtu.be/YrRnCByzxNM

http://youtu.be/LxY6RcNTEE0

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

(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

8.5* 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 김태용, 이학현, 이종화  http://youtu.be/JFVM4KRr2nc

(16주차) 기말고사

[실습실]

5. Math History (수학사)

[강의 동영상]

<사회수학 : 400년의 파란만장 강의>

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]

Chapter 00 서문

Chapter 01 벡터와 선형대수

Chapter 02 미분방정식의 이해

Chapter 03 1계 상미분방정식

Chapter 04 2계 상미분방정식

Chapter 05 고계 상미분방정식

Chapter 06 연립미분방정식, 비선형미분방정식

Chapter 07 상미분방정식의 급수해법, 특수함수

Chapter 08 라플라스 변환

Chapter 09 벡터미분, 기울기, 발산, 회전

Chapter 10 벡터적분, 적분정리

Chapter 11 푸리에 급수, 적분 및 변환

Chapter 12 편미분방정식

Chapter 13 복소수와 복소함수, 복소미분

Chapter 14 복소적분

Chapter 15 급수, 유수

Chapter 16 등각사상

7. Statistics (통계학)

[실습실]

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

[무료 전자책]

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

8. Linear Algebra and  Matrix Theory (행렬론)

[강의 동영상]

[MT-Linear Algebra-Solutions]

All Solutions

Chapter 1 Solutions:

Chapter 2 Solutions:

Chapter 3 Solutions:

Chapter 4 Solutions:

Chapter 5 Solutions:

Chapter 6 Solutions:

Chapter 7 Solutions:

Chapter 8 Solutions

Chapter 9 Solutions

9. Linear Algebra and Matrix Analysis (행렬해석)

[강의 동영상]

10. Numerical Linear Algebra (수치선형대수)

[강의 자료]

11. Math Modeling (수학적 모델링)

[강의 동영상]

[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

12. Math for Big Data (빅데이터를 위한수학)

[강의 동영상 & 실습실]

by sglee@skku.edu