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
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Preliminary syllabus
Introduction
Complement. Geocentric and Heliocentric systems
Note 1. Population dynamics models
Note 2. Leslie Population dynamics model
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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.
- 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