Intro. Mathematical Modeling (Syllabus)

MTH4028-41   Intro. Math Modeling                                            Prof.  Sang-Gu Lee

031-290-7025 Room : 32304 sglee@skku.edu

 Class Hour Monday and Wed. 13:30-14:45 Lecture Room Science Campus 31351A

 Textbook and References Textbook Mathematical Modeling Neuwirth and Arganbright 2004 Thompson Brooks / Cole Reference Contemporary Linear Algebra with Sage Sang-Gu LEE 2012 Kyungmoon Books Textbook Matrix Analysis Roger A. Horn, Charles R. Johnson 2012 Cambridge Univ. Press

 Contents Mathematical modeling with Sage and Excel (PBL course!!)

 Goal Mathematical modeling with Sage and Excel (PBL course!) Mathematical modeling usually begins with a situation in the real world, sometimes in the relatively controlled conditions of a laboratory and sometimes in the much less completely understood environment of meadows and forests, offices and factories, and everyday life. We will start from basic knowledge in Matrix Theory and history of matrices and modern mathematics. 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.

 Tentative Schedule 1 week Orientation and Introduction of the class. We will start from basic knowledge in Matrix Theory and a discussion on PBL plan!! Mathematics is studied because it is a rich and interesting discipline and because it provides a set of ideas and tools that are effective in solving problems which arise in other fields. We will cover the Fibonacci model. http://youtu.be/cZVoJkBIGpo , 2 week Generalized Fibonacci model and Gershgorin Theorem http://youtu.be/EwEU8Ai4PPM, http://youtu.be/SIXAhIqRPw8 , http://youtu.be/_0vLZmkXCnQ 3 week Growth Model : exponential growth model, logistic growth model, http://youtu.be/9a7HumXe9To 4 week Component Analysis: population model, http://youtu.be/eN16DEwlLTo

 5 week Epidemic Models: SIR, SIS, SEIR, http://youtu.be/5L0WF_1dTYw 6 week Predator-Prey model: Lotka-Volterra model, 7 week Equilibrium: Supply-Demand Model, Harvest Model, 8 week Physical Models: Projectile Motion, Planet Orbit, http://youtu.be/5UMW-tq7Tbk

 9 week Math and Art with Sage, http://youtu.be/RIhOBsxMvxE 10 week Math Modeling of Blackour Game

 11 week Google Matrix and its modeling: Information retrieval models 12 week Encryption

 13 week Real Example of Math modeling: Analytic Hierarchy Process 14 week Math Modeling with Sage and Geogebra

 15week Student PBLPresentation, Sage-Geogebra http://youtu.be/OiBih9aXkHw 16week

 HW QnA, PBL report, It will be posted after each class. You will create one Mathematical Model in your working area.

 Eval attendance HW PBL Exam Participation presentation ETC Total 10% 10% 30% 30% 5% 100% 10% 5% ETC Midterm Exam will be based on thefollowing topics: Linear Equations Linear Systems and Matrices Leontief Input/Output Analysis Markov Processes Data Fitting- Polynomial Interpolation, Least Squares Difference Equations MathModeling-Exponential(8) MathModeling-OurWorldl(9) MathModeling-Geometry(10) MathModeling-Arts(11) MathModeling-Politics(12) MathModeling-Business(13)