1. Lectures

Week	Contents
1	Orientation, Introduction of the Mathematical Modeling
2	History of the matrix and mordern mathematics, Population Dynamics - Growth Model
3	Population Dynamics - Growth Model (Cont'd), Component analysis in the mathematical modeling
4	Epidemic models of the mathematical models
5	Sang-Seol LEE: Father of Korean Modern Mathematics Education, Predator-prey model – an example of the mathematical modeling
6	History of Math-cartoon, Physical Model: Projectile Motion – an example of the mathematical modeling
7	Equilibrium : Jacobian Matrix – ODE of the Dynamical System and its stability
8	Midterm
9	Some Applications  I – Various mathematical models and its applications (Oribital motions of the planet and Birthday problems)
10	Some Applications  II – Various mathematical models and its applications (Social Problems: Apportionment(Politics))
11	Google Matrix and Its Modeling – information retrieval Models
12	Black-Out Game and Its Modeling – Mathematical models in a game
13	MathBook-SuRi
14	Project Presentation I (PBL Discussion)
15	Project Presentation II (PBL Discussion)
16	Finalterm (With invited speakers)

2. Recorded Lectures

• Introduction of this class: Sang-Gu Lee, 2009-09-01
• Other recorded lectures of this class
   

Week	Contents
1	Orientation, Introduction of the Mathematical Modeling [Recorded Lecture: Lecture-Review1_1_7_screen] [Recorded Lecture: Week1-IntroToMathModel_1_8_screen] [Recorded Lecture: Intro_MathModeling-mass_1_11_screen] [Recorded Lecture: Intro_MathModeling_1_12_screen]
2	History of the matrix and mordern mathematics, Population Dynamics - Growth Model [Recorded Lecture: Week2__2_5_screen] [Recorded Lecture: GrowthModel-Exercise_2_6_screen]
3	Population Dynamics - Growth Model (Cont'd), Component analysis in the mathematical modeling [Recorded Lecture: Mon-Practice_3_3_screen] [Recorded Lecture: week_3_-Lecture_3_4_screen] [Recorded Lecture: Week_3_GrothModel_2_3_5_screen] [Recorded Lecture: Week3-ComponentAnalysis_3_6_screen]
4	Epidemic models of the mathematical models [Recorded Lecture: Week4_4_3_screen] [Recorded Lecture: week4_4_4_screen] [Recorded Lecture: Week4-EpidemicModel_4_8_screen]
5	Sang-Seol LEE: Father of Korean Modern Mathematics Education, Predator-prey model – an example of the mathematical modeling [Recorded Lecture: Week5-MathModel_5_1_screen] [Recorded Lecture: Predator-Prey-Model_5_5_screen] [Recorded Lecture: Presentations_5_6_screen]
6	History of Math-cartoon, Physical Model: Projectile Motion – an example of the mathematical modeling [Recorded Lecture: week_6_-_class_6_9_screen] [Recorded Lecture: week-ProjectileMotion_6_10_screen] [Recorded Lecture: week6-PBL-Report-Oh_6_11_screen] [Recorded Lecture: Week6-PBL-Report-KWKim_6_12_screen]
7	Equilibrium : Jacobian Matrix – ODE of the Dynamical System and its stability [Recorded Lecture: Equilibrium___Jacobian_Matrix_7_6_screen] [Recorded Lecture: week-7-Disc_7_7_screen]
8	Midterm
9	Some Applications  I – Various mathematical models and its applications (Oribital motions of the planet and Birthday problems) [Recorded Lecture: Some_Mathematical_Models_9_4_screen] [Recorded Lecture: 7.1-Birthday-Problem_9_5_screen]
10	Some Applications  II – Various mathematical models and its applications (Social Problems: Apportionment(Politics)) [Recorded Lecture: ORGANIZA-C2FC3F_Chapter8_10_3_screen] [Recorded Lecture: ORGANIZA-C2FC3F_Social_Problems__Apportionment_Model_10_5_screen] [Recorded Lecture: ORGANIZA-C2FC3F_Week10-Suri_10_6_screen]
11	Google Matrix and Its Modeling – information retrieval Models [Recorded Lecture: ORGANIZA-C2FC3F_Google_Matrix_and_Its_Modeling_12_2_screen]
12	Black-Out Game and Its Modeling – Mathematical models in a game [Recorded Lecture: 31316PC_Blackout_Game_12_6_screen] [Recorded Lecture: 31316PC_12week-discussion_12_7_screen]
13	MathBook-SuRi  [Recorded Lecture: 31316PC_MathBook-SuRi_13_3_screen] [Recorded Lecture: 31316PC_Proj-Pres--KWKim_13_4_screen] [Recorded Lecture: 31316PC_AHP-Prese-tentative_13_5_screen]
14	Project Presentation I (PBL Discussion) [Recorded Lecture: 31316PC_mathmodeling-ahp_14_3_screen] [Recorded Lecture: 31316PC_project-yi-oh_14_4_screen] [Recorded Lecture: 31316PC_mathmodeling-projectile_14_5_screen]
15	Project Presentation II (PBL Discussion) [Recorded Lecture: 331316PC_final-presentation_15_2_screen]
16	Finalterm (With invited speakers)

3. Some lecture notes in this class

• Various Mathematical Modelings: Its Application [PDF]
• Component analysis in the mathematical modeling (2009.9.14) [PDF]
• Epidemic Models - an examples of the mathematical modeling (2009.9.24) [PDF]
• Predator-prey model – an example of the mathematical modeling (2009.10.1) [PDF]
• Physical Model: Projectile Motion – an example of the mathematical modeling (2009.10.8) [PDF]
• Equilibrium : Jacobian Matrix – ODE of the Dynamical System and its stability (2009.10.15) [PDF]
• Some Applications I – Various mathematical models and its applications (2009.10.27) [PDF]
• Some Applications II – Various mathematical models and its applications (2009.11.2) [PDF]
• Google Matrix and Its Modeling – information retrieval Models (2009.11.9) [PDF]
• BlackOut Game and Its Modeling – Mathematical Models in the Game (2009.11.17) [PDF]

4. PBL Results (Student's report of the PBL proceeding)

• KyoungWon Kim, PBL Report (2009.12.9) [PDF]

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