LINEAR ANALYSIS, Math 309 B
Autumn 2009
Instructor : Jonathan Browder
- Office : Padelford C-434
- E-mail : browder [at] math [dot] washington [dot] edu
- Office Hours : Tuesday 1-2 and Wednesday 2:30-3:30
or by appointment
Course Information
- Text : W. Boyce and R. DiPrima, Elementary Differential Equations and Boundary Value Problems, 9th edition.
- Lecture : MWF 12:30-1:20, MOR 234.
- Syllabus
- Flu Policies
Class 21
More heat equations, Section 10.7
Homework (Due Weds 25 Nov):
10.3 #5
10.4 #8, 17
10.5 #9, 11
Class 20
Yet more heat equations.
Practice Problems:
7.7 #1-8, 11
7.8 #1-4(c), 8, 9(a)
7.9 #5
10.1 #2, 5, 6, 14, 18
10.2 #15, 18
10.3 #1, 5
10.4 #1-10, 15-18
10.5 #9, 10, 11
10.6 #9(a)
Selected Solutions (pdf)
A diagonalization problem (pdf)
Class 19
10.5-6: More heat equations
Class 18
10.5: Heat Equation
Class 17
10.3, 10.4: Fourier Convergence Theorem, Even and Odd Extensions
Class 16
Fouriers series: An application to second order nonhomogeneous equations with periodic forcing.
Homework (due Friday, Nov 13)
Section 10.1 #1, 4, 15, 16
Section 10.2 #14, 16, 19a,b
Class 15
10.2: Fourier Series, the Euler-Forier Formulas
Class 14
Section 10.1 & 10.2 (periodic functions and functional inner products)
Class 13
Section 10.1: 2-point Boundary Value Problems
Homework 3 (Due Weds 4 Nov):
Section 7.8 #1a, 2a, 7a
Section 7.9 #4
Class 12
Section 7.9 continued
Class 11
Section 7.9: Nonhomogeneous Equations
Class 10
7.8
Homework 2 (DUE FRI, 30 Oct):
7.5 # 2(a), 15
7.6 # 2(a), 6(a)
7,7 #1, 6, 12
Class 9
Midterm 1
Solutions (pdf)
Class 8
Section 7.7: exp and Diagonalization
Class 7
Section 7.6 continued. Section 7.7: fundamental matrices
Class 6
Continuation of 7.5, beginning of Section 7.6
Suggested Practice Problems for Midterm 1:
7.1 #1-4
7.2 #10, 12, 16. Also try taking the determinants of these matrices.
7.3 #1, 3, 16, 22
7.4 #6a
7.5 #1-6, in part (b) rough sketches of trajectories will suffice; for the direction fields just sample a few representative points.
7.6 #1(a), 2(a), 7
Solutions (pdf)
Class 5
Section 7.5
Class 4
Complex Eigenvalues, Section 7.4
Class 3
Section 7.3
Homework (Due Weds, Oct 14 at the beginning of class):
7.2 #13, 17;
7.3 #5, 6, 8, 13, 17, 18
Solutions (pdf)
Class 2
Section 7.2 continued.
Practice Problems: 7.1 #5, 7.2 #1, 4, 9 ,11
Solutions (pdf)
Class 1
Intro and Review, Sections 7.1 - 7.2 (up to matrix multiplication)