MATH 316, Applied ODEs
## 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 Homework Report Format
## Text bookW. E. Boyce and R. C. DiPrima, Elementary Differential Equations, 9th or 10th edition, Wiley (required)
## Office hours1) M 13:00-15:00 2) W 14:30-15:30 3) by appointment
## Course MaterialIntegral TableMATLAB 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
## HomeworkHW4 Partial solutions to HW4HW5 Solutions to HW5 HW6 (due extended to May 4th)
## Exams
motamed@math.unm.edu |