**DIFFERENTIAL EQUATIONS IN SCIENCE AND ENGINEERING**

*Prerequisites: CAAM 210 and MATH 212, or permission of the instructor. Less formally: you should be able to write elementary MATLAB programs, and be comfortable with vector calculus and basic vector and matrix operations. *

**Objectives:** CAAM 336 students learn to identify partial differential equations and solve canonical cases using both analytical and computational techniques.

**Outcomes:** Upon completing this course, students should be able to:

1) explain the concept and computation of a best approximation from a subspace;

2) identify linear operators and compute their spectra in basic cases;

3) apply these concepts to obtain exact series solutions to differential equations;

4) approximate solutions with the finite difference and finite element methods;

5) develop codes in MATLAB to compute and visualize numerical solutions

**Class Resources:**

Homework Assignment #1

Homework Assignment #2

Homework Assignment #3

Homework Assignment #4

Homework Assignment #5

Homework Assignment #6

Homework Assignment #7