General descriptionThe 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
Text bookW. E. Boyce and R. C. DiPrima, Elementary Differential Equations, 10th Edition, Wiley.
Office hours1) M 10:00-11:30     2) Th 13:30-15:00     3) by appointment
Notes and ExamplesIntegral TableMATLAB 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
HomeworkHW5   Partial solutions to HW5 HW6   Solutions to HW6 HW7   (due Thursday May 05)
Exams
motamed@math.unm.edu |