Mathematical Modeling

MATH 5740/MATH 6870 001 MATH MODELING
MWF 09:40 AM-10:30 AM JWB 208
Three credit hours




Instructor: 
Professor Andrej Cherkaev

Department of Mathematics  
Office: JWB 225 
Email: cherk@math.utah.edu
Tel : +1 801 - 581 6822




Preliminary syllabus  

Introduction

Complement. Geocentric and Heliocentric systems

Note 1. Population dynamics models
Note 2. Leslie Population dynamics model

  1. HW 1. Write a short essay (one or two pages) about development of the model of Universe (geocentral- heliocental - Newton's gravity- Einstein's general relativity. Discuss the motivation of the model development, types of the model (data-fitting, equation-solving), Discuss thought model and experimental data in the modeling. See Introduction for hints and references.
    Due Monday, Jan. 14.

    Research the models of population dynamics (see Note 1). Simulate population dynamics (you may use the codes in note 1) in different models as differential and difference equations. Simulate the diffusive population growth using difference scheme. Assume periodic boundary conditions,
    Due Wednesday, Jan. 16.

  1. Project 1. Class division
    Suggest an algorithm of division of the class into working groups for a number of projects. Each student should work with different people on different projects, and should assume different roles (researcher, programmer, writer-presenter)
    Due Friday, Jan. 18