Introductory Math. Modeling (SKKU-SOCW)

<수학적 모델링 입문>                                                         학사-석사 공통과목  

                                          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