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
Instructor
Mohammad Motamed
Instructor's office hours
1) Tu 2.00-3.30 2) Th 3.00-4.30 3) by appointment
Teaching Assistant
Kyle Henke (TA's office hours: Fridays 10.00 - 12.00 @ SMLC 206)
Text book
W. E. Boyce and R. C. DiPrima, Elementary Differential Equations, 9th or 10th edition, Wiley (required)
Course Material
Integral TableMATLAB Tutorial
Introductory Slides
Chapter 1.
MATLAB Code 1
MATLAB Code 2
MATLAB Code 3
Example on linearity
Chapter 2. EXAMPLE 6 EXAMPLE 8 EXAMPLE 9 Example on integrating factor
Chapter 3. Example on non-homogeneous ODEs
Chapter 7.
Lecture notes
More on Ch7
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
Chapter 9. Lecture notes MATLAB Ex 1 MATLAB Ex 3
Homework
Homework Report Format HW1 (due extended to Sep. 7th) HW2 (due Sep. 21th) HW3 (due Oct. 17th) HW4 (due Nov. 9th) HW5 (due Nov. 21st) HW6 (due Nov. 30th) HW7 (due Dec. 7th)
Exams
motamed@math.unm.edu
Last updated: Fall 2017