Mohammad Motamed

MATH 316, Applied ODEs

General description

The behavior of many physical systems can be mathematically modeled by ordinary differential equations (ODEs). Mathematical models based on ODEs occur frequently in science and engineering. Examples include Newton's second law, chemical kinetics, and control theory. ODEs are also important for solving more complex mathematical models described by partial differential equations (PDEs). In this course we will study the theory and computation of ODEs with a wide range of applications. We will learn different analytical and numerical methods for solving ODEs. Numerical methods are often needed when deriving explicit formulas for solutions is not possible. In such cases, we employ numerical methods to compute approximate solutions of ODEs.

Syllabus     Introductory slides

An updated schedule of lectures   (Updated on April 6, 2016!)

Text book

W. E. Boyce and R. C. DiPrima, Elementary Differential Equations, 10th Edition, Wiley.

Office hours

1) M 10:00-11:30     2) Th 13:30-15:00     3) by appointment

Notes and Examples

Integral Table

MATLAB Tutorial Part 1   MATLAB Tutorial Part 2

Chapter 7.     MATLAB Ex 11     MATLAB Ex 12     MATLAB Ex 13     Solution to Ex 14

Chapter 8.     Lecture notes on numerical ODEs     EX 1     EX 2     EX 3     EX 4     EX 5,6,7

Chapter 9.     MATLAB Ex 1     MATLAB Ex 3


HW5   Partial solutions to HW5

HW6   Solutions to HW6

HW7   (due Thursday May 05)


  • Midterm: March 8 in class 11:00 - 12:15

  • Final: Tuesday May 10 in class 12:30 - 2:30

    Study Questions for Final

    Last updated: April 2016