
CPS 5310: "Mathematical and Computer Modeling
"
Instructors: Professor MingYing Leung and Dr. Natasha Sharma
Meeting Times: TuTh 4:30pm5:50pm
Office Hours: Thursdays 3:00pm4:00pm
Place : Bell Hall 130A
TextBook: Mathematical Modeling and Simulation: Introduction for Scientists and Engineers, Kai Velten, WileyVCH, 2009, ISBN: 9783527407588.
Course Description:
This course is oriented towards computer simulation of selected practical problems from physics, engineering, geology, biology or chemistry. Students learn to create mathematical models formulate modeling assumptions, select appropriate numerical methods, implement them in the form of a computer program, and visualize the numerical results. Emphasis is given to verification and validation procedures.
Click here for the syllabus of the course.
Prerequisites: Calculus and linear algebra, CPS 5401 with grade of B or better; or permission of the instructor.
Assignments: Expect to be assessed on homeworks, class performance and attendance.
Announcements
Week 
Topic for the week 
Assignments for the week 
18th22nd January 
Phenomenological models taught by Prof. Leung for the first five weeks 

25th29th January 


1st5th February 


8th12th February 


15th19th February 


22nd26th February 
R and Maxima Tutorial by T.A. and introduction to mechanistic models (Dr. Sharma) 
Homework 1 (Mechanistic Models) posted due on 03/04.

29th Feb.4th March 
More on Mechanistic Models and introduction to ODE models 

7th11th March 
SPRING BREAK ! 

14th17th March 
Introduction to ODEs and writing mac files
A sample mac file can be found here.

Homework 2 (Mechanistic Models) posted due on 03/04.
Online command line Maxima cheatsheet.

23rd27th March 
Numerical Methods to Solve ODE. A code based on Euler method can be found here. 
Homework 2 due this week !

28th March1st April 
Numerical Methods continued with emphasis on BDF Methods 
Homework 3 posted due on 04/07

4th8th April 
Stiff ODEs, Other Numerical Methods. A code comparing Euler and RK4 method can be found here. 

11th15th April 
Phase Portraits. A Matlab code can be found here. 
Midterm on Thursday 04/14

