Research Activites

CPS 5310: "Mathematical and Computer Modeling "

  • Instructors: Professor Ming-Ying Leung and Dr. Natasha Sharma
  • Meeting Times: Tu-Th 4:30pm-5:50pm
  • Office Hours: Thursdays 3:00pm-4:00pm
  • Place : Bell Hall 130A
  • TextBook: Mathematical Modeling and Simulation: Introduction for Scientists and Engineers, Kai Velten, Wiley-VCH, 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

    Topic for the week
    Assignments for the week
    18th-22nd January
    Phenomenological models taught by Prof. Leung for the first five weeks
    25th-29th January
    1st-5th February
    8th-12th February
    15th-19th February
    22nd-26th 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
    7th-11th March
    14th-17th 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.
    23rd-27th March
    Numerical Methods to Solve ODE. A code based on Euler method can be found here.
    Homework 2 due this week !
    28th March-1st April
    Numerical Methods continued with emphasis on BDF Methods
    Homework 3 posted due on 04/07
    4th-8th April
    Stiff ODEs, Other Numerical Methods. A code comparing Euler and RK4 method can be found here.
    11th-15th April
    Phase Portraits. A Matlab code can be found here.
    Midterm on Thursday 04/14