# MATH 3820

Introduction to Mathematical Modelling

Content of this page:
This course will **introduce mathematical modelling**, through a combination of analytical and numerical methods.
We meet Tuesdays and Thursdays, in MH 415, from 11:30 to 12:45. My office hours are Tuesdays, 17:15-18:30 and Thursdays, 13:30-15:00, or by appointment. The midterm will be on March 3, in MH, from 11:30 to 13:30.

The sections might not appear in the order we covered them in class.
#### Slides

#### MatLab

- Code for the quadratic regression.
- Code for the numerical solution of the logistic ordinary differential equation. You will need both logistic_rhs.m, the RHS function,
and integrate_logistic_ode.m, the code needed to call the RHS function.
- Code for the numerical solution of the logistic delay differential equation. You will need both logistic_dde_rhs.m, the RHS function,
and integrate_logistic_dde.m, the code needed to call the RHS function.
- Cobwebbing for the logistic map (logistic difference equation). The left window shows the cobwebbing, the right window shows the trajectory.
- For additional code, see the programs here.

#### Maple 10

Example showing the symbolic solving of the logistic equation (you will need to save this file before using it).
Slides (4 slides per page).
Slides (4 slides per page).
- Slides (4 slides per page).
- To download dfield and pplane (matlab shown in class), follow this link.
- Maple code to plot the nullclines for the chemostat system is here.

Slides (4 slides per page).
Slides (4 slides per page).
Keep in mind that the program for these examinations might not be the same as the one we have covered.
#### Assignments

#### Midterms

#### Finals

#### Projects

A list of some past projects in Math 3820.