# ## 주메뉴

### 수학적 모델링 입문

• 성균관대학교
• 이상구 • 주제분류
자연과학 >수학ㆍ물리ㆍ천문ㆍ지리 >수학
• 강의학기
2015년 1학기
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Mathematical modeling usually begins with a situation in the real world. We will start from basic knowledge in Matrix Theory and simple models. Then we will start to practice some Mathematical Models in our working area. We will cover the most of the traditional and recent Linear Models. Your participation will be expected.

#### 차시별 강의      1. Introduction to Mathematical Modeling Introduction to Mathematical Modeling 2. Math Models in Everyday life (Game) : Blackout game Math Models in Everyday life (Game) : Blackout game 3. Math Models in Everyday life (Google)- Google matrix Math Models in Everyday life (Google)- Google matrix 4. Introductory Models: Birthday Problem, Pigeonhole principle Introductory Models: Birthday Problem, Pigeonhole principle 5. Rabbit Problem, Fibonacci Numbers Rabbit Problem, Fibonacci Numbers 6. Generalized Fibonacci sequence and Modeling Generalized Fibonacci sequence and Modeling 7. Gershgorin circle of Fibonacci sequence Gershgorin circle of Fibonacci sequence 8. Mobile Math and Sage Grapher Mobile Math and Sage Grapher 9. Graph Theory and PDE with Sage Graph Theory and PDE with Sage 10. Cryptography and Math Modeling Cryptography and Math Modeling 11. Sage and Geogebra in Math Modeling Sage and Geogebra in Math Modeling 12. Markov Chain, Sage Matrix Calculator and Maple Markov Chain, Sage Matrix Calculator and Maple 13. Catalan Number and Josephus Problem Catalan Number and Josephus Problem 14. Project Proposal (1st PBL report) Project Proposal (1st PBL report) 15. Midterm Exam Review: Math Modeling Midterm Exam Review: Math Modeling  Growth Models (exponential and logistic growth model) Growth Models (exponential and logistic growth model)  Component Analysis: population model, Extended Growth Model Component Analysis: population model, Extended Growth Model  Mathematical Modeling with Computational tools Mathematical Modeling with Computational tools  Physical Models: Projectile Motion(Moon's Orbit) Physical Models: Projectile Motion(Moon's Orbit)  Projectile Motion with Air Resistance Projectile Motion with Air Resistance  Predator-Prey model: Lotka-Volterra model Predator-Prey model: Lotka-Volterra model  Equilibrium: Supply-Demand Model, Harvest Model Equilibrium: Supply-Demand Model, Harvest Model  Epidemic Models (SIR, SIS, SEIR) Epidemic Models (SIR, SIS, SEIR)  Markov Process and AHC(Analytic Hierarchy Process) Markov Process and AHC(Analytic Hierarchy Process)  Mathematical Modeling with Sage Mathematical Modeling with Sage  수학과와 개척자 (Pioneers) 수학과와 개척자 (Pioneers)  Mathematics and 3D Printing Mathematics and 3D Printing  Student Project Presentation Student Project Presentation  Final PBL and Zombi-Model Presentation Final PBL and Zombi-Model Presentation  SKKU Math Concert 한국수학: 전통과 첨단의 조화 SKKU Math Concert 한국수학: 전통과 첨단의 조화  (Output) Smartphone App on Matrix Calculator (Output) Smartphone App on Matrix Calculator  (Output) Math and Art in 3D Printing (Output) Math and Art in 3D Printing #### 연관 자료 #### 사용자 의견 #### 이용방법

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