| Date | Topic | Materials |
| 01/21/2014 |
Modeling Principles Introduction to Maxima |
Velten Chapter 1 Brainstorming exercise: Modeling Terminology/Concepts Intro to Maxima with Examples worksheet |
| 01/23/2014 | Classification of Mathematical Models |
Velten Chapter 1 |
| 01/28/2014 |
Descriptive Statistics
|
Velten Chapter 2, pp. 47-60 |
| 01/30/2014 |
Descriptive Statistics (cont.) Introduction to R |
|
| 02/04/2014 | Inferential Statistics |
Velten Chapter 2, pp. 60-86 Data Files |
| 02/06/2014 |
Regression Models
|
Same slides as 02/04/2014
|
| 02/11/2014 |
Neural Networks
Experimental Design |
Velten pp. 87-99 Velten pp. 99-109 agricolae package and documentation
|
| 02/13/2014 | Introduction to ODEs | Handout |
| 02/18/2014 | Numerical Methods for ODEs | |
| 02/20/2014 |
Population Models Single Species Predator-Prey |
Interactive Differential Equations website
Velten pp. 205-211, 226-228 |
| 02/25/2014 | MATLAB ODE Software (taught by Henry Moncada) |
Files |
| 02/27/2014 | Harmonic Oscillators |
Interactive Differential Equations website Labs 9, 11, 20, 26 |
| 03/04/2014 |
Solving Initial Value Problems in R
Lorenz Equations |
Interactive Differential Equations website Lab 27 |
| 03/06/2014 | Fitting ODE parameters to data | Velten pp. 194-205 |
| 03/18/2014 | Introduction to PDEs |
Velten pp. 229-254 |
| 03/20/2014 | Parabolic PDEs | |
| 03/25/2014 |
3D Parabolic PDEs Hyperbolic PDEs |
|
| 03/27/2014 |
Separation of Variables Method using MAPLE (taught by Henry Moncada) |
Velten pp. 254-257 |
| 04/01/2014 | Fourier Analysis | Slides |
| 04/03/2014 | Elliptic PDEs | |
| 04/08/2014 | Numerical Methods for PDEs -- Intro |
Velten pp. 257-266 |
| 04/10/2014 |
Implicit Finite Difference Methods Group work on Homework 3 |
Numerical solution of PDEs by Louise Olsen-Kettle |
| 04/15/2014 | Finite Element Method |
Velten pp. 266-286 |
| 04/17/2014 | Introduction to Lonestar | Lonestar Lab |
| 04/22/2014 | Course Exam | |
| 04/24/2014 | Applications of PDEs | |
| 04/29/2014 | Start on Course Project |