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     Tentative schedule of lectures


Mohammad Motamed

Instructor's office hours

1) Tu 14.00-15.00     2) W 12.00-14.00     3) by appointment

Teaching Assistant

Kyle Henke   (TA's office hours: Fridays 12.00 - 13.00 @ SMLC 206)

Text book

W. E. Boyce and R. C. DiPrima, Elementary Differential Equations, 9th or 10th edition, Wiley (required)

Course Material

Integral Table

MATLAB Tutorial

Chapter 1.     Code 1   Code 2   Code 3   Example on linearity   Derivative of ln

Chapter 2.     Code 1   Code 2   Example on integrating factor

Chapter 3.     Example 1 on inhomogeneous ODEs     Example 2 on inhomogeneous ODEs


Homework Report Format

HW1     (due January 25th)     On Matlab

HW2     (due February 6th)     On Chapter 1

HW3     (due February 22nd)     On Chapter 2

HW4     (due March 1st)     On Chapter 3

HW5     (due March 6th)     On Chapter 3

HW6     (due Mar. 20th)     On Chapter 6


  • Midterm: March 20th, 9.30 - 10.45 in class

    Study Questions for Midterm
  • Final: May 8th, 7.30 - 9.30 in class

    Last updated: Spring 2018