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 [Math Lab] - [Discrete Mathematics (이산수학) 실습실] 

      Digital Lecture Note-Lab-Lectures-Student Presentations

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[실습실] -  Matlab/Maple/Wolfram alpha 를 대치하는 (우리 말로 쓰인, 우리가 만든) 우리나라의 모바일 수학 도구 - 무료  입니다^^   

   첨부 파일을 크롬 또는 Firefox 브라우저 크롬에서 클릭/실행 해 보시면 (수학실습실을 바로 사용하실 수 있습니다. 문제 자동 생성기는 특허를 받은 도구입니다.) 

Discrete Mathematics (이산수학) 실습실을 소개합니다.

2018 Spring  [SKKU] Discrete Mathematics (이산수학)   Table of Contents

      Digital Lecture Note-Lab-Lectures-Student Presentations

​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(Use Chrome browser, not IE)

Discrete Math 이산수학 Ch 0 Introduction https://youtu.be/9ahFnOFTWNQ

Discrete Math 이산수학 Ch 1, 1.1, 1.2 Propositions https://youtu.be/QgdKqmCFW2Y

Discrete Math 이산수학 Ch 1, 1.3, 1.4 Rules of Inference https://youtu.be/92siPfThf0M

Discrete Math 이산수학 Ch 1, 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

​ Lecture 1 Sec 2.1, 2.2 2.2 More Methods of Proof Problem https://youtu.be/xEMkHb2AkYk

Lecture 2 Sec 2.4, 2.5 Math Induction and Well-Ordering Property https://youtu.be/areatkjOjcg

​

DM Ch. 3, Functions, Sequences, and Relations, 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 이산수학 Ch 3, Functions, Sequences, and Relations 1 https://youtu.be/MhM_9ZuGAis

​DM 이산수학 Ch 3, Functions, Sequences, and Relations 2 https://youtu.be/ZjAtN9HkZwM

​DM 이산수학 Ch 3, Functions, Sequences, and Relations 3 https://youtu.be/Uuwsx2aiEPI

Ch 4, Algorithms, 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

Ch 5, Number Theory, 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

SKKU Discrete Math (이산수학) Ch-5 Sec 5-1 Divisors https://youtu.be/NN46r0qlIW0

SKKU Discrete Math (이산수학) Ch-5 Sec 5-2 Representations of Integers and Integer Algorithms https://youtu.be/aF5MPAjkMcI

SKKU Discrete Math (이산수학) Ch-5 Sec 5-3 The Euclidean Algorithm https://youtu.be/sSuzv8J3MSA

Review on Ch 1-5 https://youtu.be/aeKA-MNkhCw

Student Presentation : Mid PBL 학생 발표, https://youtu.be/HuzLCXDD2AA

Midterm Exam Solutions : https://youtu.be/iAfQCycd6ac

Ch 6, Counting Methods and the Pigeonhole Principlehttp://matrix.skku.ac.kr/2018-DM/Ch-6/

DM-Ch-6-Lab http://matrix.skku.ac.kr/2018-DM/DM-Ch-6-Lab.html

SKKU DM Sec 6.1 Basic Principles 이산수학 https://youtu.be/AU_AbwTSI_Y

SKKU DM Sec 6.2 Permutations and Combinations 순열조합 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

Ch 7, Recurrence Relations(점화식) 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

(DM 이산수학 Ch 7, 동영상강의) , https://youtu.be/1n0dC_ICo4U

Ch 7 &8 Preview QnA : https://youtu.be/r0M7OuRhqnc

Ch 8, Graph Theory, 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

(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

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-3PMStudent Presentation :Final PBL 학생 발표, Final Project Presentation

Week 16 : Final Comprehensive Exam : June 15th(Friday) 1PM-2PM

CH 10, Network Models https://www.scribd.com/document/7084685/Network-Models-05

Ch 11 Boolean Algebras and Combinatorial Circuits http://ocw.nctu.edu.tw/course/digital%20design/Logic%20DesignCh02.pdf

Ch 12 Automata, Grammars, and Languages http://www.utu.fi/en/units/sci/units/math/staff/Documents/karhumaki/automata05.pdf

CH 13 Computational Geometry http://cs.au.dk/~gerth/cg08/index.html http://people.inf.elte.hu/fekete/algoritmusok_msc/terinfo_geom/konyvek/Computational%20Geometry%20-%20Algorithms%20and%20Applications,%203rd%20Ed.pdf

Appendix https://www.uwrf.edu/MATH/DiscreteMathematicsAppendixC.cfm http://math.aalto.fi/opetus/dmp/lect-12/appendix-12-2-2on1.pdf

    Final Presentation

1. SKKU DM Ch. 1-5, 성대 이산수학, Nabil (Passed) &Wang (Passed)(7팀), PBL and Solutions of Ch 1-5, Ju 주유흠 (Passed), Li 이금택 (Passed), 이우흠https://youtu.be/PU8eBxBYGog

2. SKKU DM Ch. 1-9, 성대 이산수학, 주경용 (Passed with Honor) (6팀), PBL and Q&A, Ch1-9, 김동준(결석), 박성빈, 박종호(Passed), 남영욱(Passed), https://youtu.be/dCppwKht5a8

3. SKKU DM Ch. 8, 성대 이산수학, 이세영 (Passed with Honor) (1팀), PBL and Solutions of Ch 8, 윤소정, 김지만, 천수현, 조경목, https://youtu.be/xJA4CceS1bI

4. SKKU DM Ch. 9, 성대 이산수학, 이대희(Passed)(4팀), PBL and Solutions of Ch 9, 홍석호(Passed), 황병재(Passed), 오정호(Passed), 문현규, https://youtu.be/xogC6K5f21s

5. SKKU DM 2018 이산수학, PBL and Solutions of Ch 7 by 이동욱(2팀), Ch 6 by 김민규(5팀), https://youtu.be/NoIDk3oooao

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

*This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1D1A1B03035865).