SYLLABUS AND NOTES

• Syllabus
• Useful ODE facts
• Useful analysis facts
• 1. Some definitions
• 2. Separation of variables
• 3. Method of characteristics
• 4. Second-order linear equations
• 5. Wave equation: initial value problem
• 6. Wave equation: boundary value problems
• 7. Wave equation: remaining facts
• 8. Heat equation: initial value problem
• 9. Heat equation: boundary value problems
• Weak solutions
• Fourier series

HOMEWORK ASSIGNMENTS AND SOLUTIONS