Math 4354.001 Differential Equations II
TEXTBOOK: Differential Equations with Boundary-Value Problems, 9th Ed. by Zill
Chapters 8, 10, 11, 12, 13, 14
4 Exams (70%), Webwork (20%), Written Assignments (10%)
Syllabus Syllabus
- Written Assignment #1, 8.1 #2,6,10,15,16,20; 8.2 #4,6,13, Friday, September 7
- Summary of Linear Systems of ODEs Linear Systems
- Stability of Linear Systems Exercises
- Phase portrait Linear Systems
- Phase portrait NonLinear Systems
- WeBWorK #1, Friday, September 14
- Fourier Series Formulas
- In Class Assignment #1, Wednesday, September 19 Fourier Series
- WeBWorK #2, Wednesday, September 26
- Review Topics Exam #1 Review
- Practice Problems Answers
- EXAM #1, 8.1-8.2, 10.1-10.3, 11.1-11.3, Friday, September 28 Answers
- In Class Assignment #2 Separable PDE
- WeBWork #3, Friday, October 12
- Heat,Wave Plots Graphs
- Summary Heat, Wave, Laplace's Equations #3 Summary
- WeBWork #4, Wednesday, October 24
- Written Assignment #4, Wednesday, October 24 Laplace's Equation Wednesday, October 24
- Review Problems Chapter 11 #4,5,p.458; 12.1 #13,17,19,p.464; 12.3 #1,p.473; 12.4 #3,6,12,p.477; 12.5 #1,3,13,p.483;
Problems
- EXAM #2, Part I, 11.4, 12.1-12.4, Friday, October 26; Part II, 12.5, Monday, October 29
Answers
- Generalized Fourier Series Fourier Coeff
- WeBWork #5, Friday, Nov 9
- Written Assignment #5, Heat Eq on Rectangle Monday, November 12 Heat Equation on Rectangle and Answers
- Wave Equation on a Circular Membrane Separation of Variables and
Graphs
- Tables of Laplace/Fourier Transforms Table
- WeBWork #6, Friday, Nov 16
- Fourier Integrals
Example
- Fourier Transforms
Heat and Wave Equations
- Written Assignment #6, Heat and Wave Eq with Fourier Transforms, Monday, November 19
Fourier Transform Problems and Answers
- Review Topics for EXAM #3 Review and Practice Problems and Answers to Practice Problems
- EXAM #3, 12.3,12.6,12.8,13.1,14.3,14.4, Wednesday, November 28 and Answers
- Numerical Solution of Wave Equation with Damping and Source, Friday, November 30 MatLaB Program
- Numerical Solution of Heat Equation with Source, Friday, November 30 MatLaB Program
- Numerical Solution of Heat & Wave 3 examples, Monday, December 3 (Optional)
- Comprehensive FINAL Exam, Monday, December 10 (7:30-10 am)
To WeBWorK