Introduction to Mathematical Modeling

Math 3234 credits .Professor: Dr. Tovar Contact Information

Quick Overview:

Official Syllabus

- No Course Text. Schaum's Outline Mathematical Handbook is recommended.

- Course Begins with Optimization

- Course Covers Modeling, Optimization, Modeling Contest

All web information relating to this course is subject to change.

Important Links:

Note:Exams are Closed Book, 1 page of Notes

Week

Class Activities Assignments Due 1

Monday:Go over Syllabus

Tuesday: Preliminaries:

Operations on Functions

Graphs of Common Functions

Polynomial Approximation of functions (Taylor Series)

Binomial Expansion (1+x)^n ~1+nx

Thursday: Preliminaries Example: f(x) = x/(1+x)

Modeling Example - Running:

(bring 2m and 1m sticks to class)

Usaine Bolt Record Race (2009): video

On Usaine Bolt (2012): video

Bolt on how he does it (2012): video

Runner Graph

Runner Function and Example

Friday: Maple Solution

Improve calculation with more data

Could cubic spline the data (link2)

Dimensional Analysis and Runner Types

Modeling Example - Bacheloring it up:

Time to Make Sandwiches! (or is it?)

2

Monday:Modeling of Algebraic functions:

pulse1 graph

Tuesday: "

Thursday: "

Friday: "

3

Monday:Finish Modeling of Algebraic Functions

Tuesday: Latex Day

Mini-Proj #1a Due

Thursday:

Friday: Engr. Econ.

Mini-Proj #1b Due:

Put MiniProj #1a into Latex:

mini_proj1_template.tex

bolt09.eps

mini_proj1_template.pdf

4

Monday:Engr. Econ.

Tuesday: Engr. Econ. Lab Day

Amortization Notes Page

Thursday: Engr. Econ. - Amortization

Friday: Forbes - Best Places to Retire

Rational Decision Making

5

Monday:Movie: Search for Life: The Drake Equation

Tuesday:

Homework #1 Due

Thursday: Exam 1:

Closed Book, 1 page of notesHomework #2 Due

Friday: Classify Diff. Eqs.

6

Monday:Go over Exam 1

Tuesday:

Thursday: Population Modeling

Friday: No Class - Tovar at Conference

7

Monday:Population Modeling

Tuesday: Population Modeling/Euler

Thursday: Trouble with Electoral college/

2016 Election Results (Winner Take all)

Euler/C Programming

Friday: while loops/for loops

8

Monday:CS Lab

Tuesday: CS Lab Homework #3 Due

Thursday: Writing (Comap vs. science publication)

Revisioning Population Modeling

Friday: Comap Overview

9

Monday:AMA, Exam Prep

Mini-Proj #1c Due:

miniproj1c_template.pdf

Tuesday: Exam 2:

Closed Book, 1 page of notes

Thursday: Thanksgiving Break

Friday: Thanksgiving Break

10

Monday:PDEs

Tuesday: Review

Thursday: Review

Friday: Review

Final Exam:

Closed Book, 1 page of notes

Project

Maintained Division of Science and Mathematics, Eastern Oregon University.

©Eastern Oregon University, 2008.

Direct comments and questions to atovar@eou.edu xx

Activity: How do you get to Tovar's House?

Classifying DEs

Derive Euler Relation

ODE Recipe Guide

Maple

maple_de.mws

Mathematical Decision-Making

Mathematical Decision-Making Mathematical Decision-Making

(youtube)

gedit, compiling

Exam 1:

Closed Book, 1 page of notesEuler Method - c++

Runge-Kutta - c++