Date |
Topic |
Preparation |
Materials |
01/20/2015 |
Modeling and Simulation Concepts Maxima installation |
Bring your laptop to class |
Brainstorming exercise PDF Word |
01/22/2015 |
Introduction to Maxima R installation |
Read Velten Chapter 1 Revise answers to brainstorming questions Read over class materials and look at resources |
Resources: Maxima software and documentation Ted Woollett's Maxima by Example |
01/27/2015 |
Quiz 1 over Chapter 1 and Chapter 2 pp. 47-60 Descriptive Statistics Introduction to R |
Read Velten Chapter 2 pp. 47-60 Study for Quiz 1 Read over class materials and look at resources |
Maxima and R exercises PDF Word Resources: R Project website with software are documentation Quick-R website R Tutorial website |
01/29/2015 |
Inferential Statistics: Hypothesis Testing |
Read Velten pp. 60-64 | |
02/03/2015 |
Hypothesis Testing (cont.) |
|
|
02/05/2015 |
Inferential Statistics: Regression Modeling |
Read Velten pp. 65-87 Study for Quiz 2 on Inferential Statistics |
Same slides as 02/03/2015 |
02/10/2015 |
Quiz 2 Neural Networks |
Read Velten pp. 87-99 | |
02/12/2015 | Introduction to Mechanistic Modeling | Read Velten pp. 117-129 |
Interactive Differential Equations -- Lab 1 |
02/17/2015 | ODE Models and Theory | Read Velten pp. 130-153 |
Interactive Differential Equations -- Lab 2 |
02/19/2015 |
Solutions of ODEs ODEs using MATLAB (taught by Henry Moncada) |
Read Velten pp. 153-174 |
Limited Growth Population Model video ODE Software for MATLAB (dfield, pplane) website |
02/24/2015 | Numerical solution of ODEs | Read Velten pp. 174-194 |
Book software -- Euler.mac, Stiff.mac |
02/26/2015 |
Numerical solution of ODEs (cont.) Bifurcations |
|
Book software -- MechODE/mac, MechODE/r Bifurcations video Interactive Differential Equations - Labs 23, 24, 25 |
03/03/2015 |
Fitting ODEs to Data Predator-Prey System model |
Read Velten pp. 194-211 |
Book software Predator-Prey System video Interactive Differential Equations - Lab 21 |
03/05/2015 |
Dynamical Systems (taught by Henry Moncada) |
|
Predator Prey MATLAB code |
03/17/2015 |
ODEPACK
|
||
03/19/2015 | Wrapup and review |
||
03/24/2015 | Midterm exam | ||
03/26/2015 | PDE Example: the Heat Equation | Velten pp. 229-241 |
Heat Equation activity |
03/31/2015 | Cesar Chavez Day -- no class | ||
04/02/2015 | PDE Theory |
Velten pp. 241-248 PDE Playlist -- PDE 1 and PDE 2 |
Parabolic PDE exercises |
04/07/2015 |
2D Heat Equation Hyperbolic PDE: The Wave Equation |
PDE Playlist -- PDE 7 and PDE 8 |
2D Heat Equation slides Wave Equation slides |
04/09/2015 | Elliptic PDE -- Stationary Heat Equation | Laplace's Equation in Other Coorindates |
|
04/14/2015 |
Separation of Variables method Fourier Series Analysis |
Velten pp. 254-257 PDE playlist -- PDE 13 PDE playlist -- FA1, FA2 |
|
04/16/2015 | Numerical solution of PDEs -- Finite difference methods |
Velten pp. 257-266
|
Exercises |
04/21/2015 | Finite difference method software |
Programs in MATLAB, C, Fortran, Python for Time Dependent 1D Heat Equation - explicit |
|
04/23/2015 | Finite element methods |
Velten pp. 266-286 FEM Solution of 2D Heat Equation using MATLAB Intro to FEM by Gilbert Strang Intro to FEM by Jacob Bishop |
|
04/28/2015 |
Introduction to the Stampede supercomputer Introduction to PETSc |
PETSc Examples |
|
04/30/2015 | Stampede and PETSc exercises |
|
|
05/05/2015 | work on project and review for final exam |
Ringler et al A multi-resolution approach to global ocean modeling |
|
05/07/2015 | work on project and review for final exam |