Instructor: Robert L. Miller

Email: rlmill@math.washington.edu

Office: Padelford C-402

Office Hours Condon Hall 110A, 3:30-4:20pm MW

Course Page: http://rlmiller.org/au08-math309

Text: Elementary Differential Equations and Boundary Value Problems,
by W. E. Boyce and R. C. DiPrima, 8th edition

Outline/Homework/Exams:
The problems listed should be worked on after each lecture on that section. Selections from these problems may be made due during the course, and quizzes may cover material from any of them.
For now, refer to the syllabus here to get a sense of what will be covered.

• Wed. 9/24
      Review of Linear Algebra
      (Mike Hansen to substitute)
      Vector spaces, linear transformations, matrices
• Mon. 9/29
      Gaussian elimination
      Complex numbers
  
• Wed. 10/1
      HW DUE: § 7.2 # 2, 8, 12, 14, 23
      Eigenvalues and eigenvectors
  
• Mon. 10/6
      Linear systems of first order differential equations
      Homogeneous linear systems with constant coefficients
  
• Wed. 10/8
      HW DUE: § 7.4 # 4, 5; § 7.5 # 4, 8, 17
      (Luke Gutzwiller to substitute)
      Complex eigenvalues and eigenvectors
  
• Mon. 10/13
      (Koopa Koo to substitute)
      Nonhomogeneous linear systems:
      Undetermined coefficients
      Variation of parameters
      The Laplace transform
  
• Wed. 10/15
      (Koopa Koo to substitute)
      Nonhomogeneous linear systems continued
      Matrix exponentials via similarity
  
• Mon. 10/20
      Recap - questions, comments, concerns
      The phase plane
  
• Wed. 10/22
      HW DUE: § 7.6 # 3, 4; § 7.8 # 4, 6; § 7.9 # 6, 7
      Fundamental Matrices
      Review of nonhomogeneous methods
• Mon. 10/27
      Midterm review
• Wed. 10/29
      MIDTERM
      Same room, usual class time
  
  
• Week of Mon. 11/3
      Introduction to boundary value problems
      Separation of variables
      Introduction to Fourier series, 1
      Approximating periodic functions
• Week of Mon. 11/10
      Introduction to Fourier series, 2
      An orthonormal basis
      The Convergence Theorem
      Even and odd functions
  
• Wed. 11/12
      HW DUE: § 10.1 # 8, 20; § 10.2 # 9, 16, 29
  
• Week of Mon. 11/17
      The use of Fourier series in boundary value problems
      The heat equation
  
• Wed. 11/19
      HW DUE: § 10.3 # 1-6; § 10.4 # 15, 34
  
• Week of Mon. 11/24
      Quiz, with solutions
      The wave equation
• Week of Mon. 12/1
      Laplace's equation
      Final review
• Wed. 12/3
      HW DUE: § 10.5 # 2, 6, 12, 22 ; § 10.7 # 1(a), 2(a), 9, 15
  
• Mon. 12/8 FINAL
      C: 2:30-4:20
      D: 4:30-6:20
      Cumulative, in the same room
      Practice 1 (with solutions)
      Practice 2 and Solutions

Prerequisites: Math 126, 307, 308

Grades: 50% final, 30% midterm, 20% homework/quizzes

Links:

• Java Direction Field Plotter
• Prof. Marshall's Basic Formula Sheet(PDF)
• Prof. Sylvester's Notes on Complex Numbers(PDF)
• Prof. Erickson's Notes on the Complex Exponential Function(PDF)
• Rob Beezer's A First Course in Linear Algebra
• Whitman College's Calculus
• Michael Corral's Vector Calculus
• Beck, Marchesi and Pixton's A First Course in Complex Analysis