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     Homework Report Format

Text book

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

Office hours

1) M 13:00-15:00     2) W 14:30-15:30     3) by appointment

Course Material

Integral Table

MATLAB Tutorial

Chapter 1.     MATLAB Code 1   MATLAB Code 2   Derivative of ln   MATLAB Code 3

Chapter 2.     EXAMPLE 4   EXAMPLE 6   EXAMPLE 7

Chapter 3.     MATLAB Code for Solution families

Chapter 7.   Eigenpairs Example   Systems 1-3   System 4   System1 (code)   System2 (code)   System3 (code)   System4 (code)

Numerical ODEs.     Lecture notes     Code for EX 1     EX 2     EX 3     EX 4     EX 5,6,7


HW4   Partial solutions to HW4

HW5   Solutions to HW5

HW6 (due extended to May 4th)


  • Midterm: March 9th, 12:30 - 13:45 in class
  • Final: May 11th, 10:00 - 12:00 in class

    Study Questions for Final

    Last updated: Spring 2017