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 14.00-15.30 2) Th 14.00-15.30 3) by appointment
Teaching Assistant
Christian Roberts (croberts35@unm.edu)TA's office hours: 5pm-7pm Tuesday Thursday and 4pm - 6pm Friday @ SMLC B71
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 of the 1st lecture
Chapter 1. Code 1 Code 2 Code 3 Example on linearity Derivative of ln
Chapter 2. Code for Ex.5 Code for Ex.8 Code for Ex.9 Example on integrating factor
Chapter 3. Method of variation of parameters Example on inhomogeneous ODEs
Chapter 7.
Note 1
Note 2
code for system1
code for system2
code for system3
code for system4
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 A letter from our TA on Matlab plots HW1 (due January 29th) On Chapter 1 HW2 (due February 14th) On Chapter 2 HW3 (due March 7th) On Chapter 3 HW4 (due April 16th) On Chapter 7 HW5 (due Apr. 30th) On Chapter 8 HW6 (Optional with due May 9th) On Chapter 9
Exams
motamed@math.unm.edu
Last updated: Spring 2019