Instructor: Robert L. Miller

Email: rlmill@math.washington.edu

Office: Padelford C-406

Office Hours

• 5:30-6:20 Tue. in Balmer 311
• 6:00-7:00 Wed. in Padelford C-406

Course Page: http://rlmiller.org/su08-math307

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.

• First Order Equations (Ch. 2)
  
  • § 1: Linear Equations
        Tue. 6/24
        For these problems, you might want to use the Java plotter below!
        # 1-20, 27-30, 33, 38-40
  • § 2: Separable Equations
        Thu. 6/26 § 2.1 # 10, 16, 29, 39 due
        # 1-20, 29, 30, 32
  • § 3: Modeling
        Tue. 7/1
        # 1, 6, 7, 9, 11, 12, 17, 18, 23, 32
  • Linear vs. Nonlinear & Autonomous Equations
        Thu. 7/3 § 2.2 # 23, 30 & § 2.3 # 7, 17 due
         § 4 # 1-12, 17-20, 22-24, 27, 30
         § 5 # 1-13, 16, 17, 20-23, 25-27
  • § 7: Euler's Method
        Tue. 7/8
        # 1-14, 18, 20
• Second Order Equations (Ch. 3)
  
  • § 1: Homogeneous Equations
        Thu. 7/10 § 2.4 # 22, 25 & § 2.5 # 12, 25 due
        # 1-16, 19-22, 27, 28
  • § 4: The Characteristic Equation
        Tue. 7/15
        # 1-22, 29, 34, 38
  • § 5: Repeated Roots
        Thu. 7/17 § 3.1 # 13, 22 & § 3.4 # 20, 34 due
        # 1-14, 23-30, 38-42
• MIDTERM, Tue. 7/22
  • § 6: Nonhomogeneous Equations
        Thu. 7/24 (No HW due!)
        # 1-26, 28, 29, 31, 32
  • Mechanical, Electrical and Forced Vibrations
        Tue. 7/29
        Thu. 7/31 § 3.5 # 18 & § 3.6 # 15 due
        Tue. 8/5
        § 8 # 1-14, 16, 20-22, 26, 27, 32
        § 9 # 1-8, 15, 21-25
• The Laplace Transform (Ch. 6)
  
  • § 1: Definition
        Thu. 8/7 § 3.6 # 28 & § 3.8 # 16, 24, 26 due
        # 1-18, 23-27
  • § 2: Initial Value Problems
        Tue. 8/12
        # 1-23, 27-36, 38
  • § 3: Step Functions
        Thu. 8/14 § 3.9 # 9, 12 & § 6.1 # 26 due
        # 1-23, 28-32
  • § 4: Discontinuous Forcing
        Tue. 8/19
        # 1-15, 19-23
• FINAL, Thu. 8/21 (in class, cumulative- Final (with solutions))

Prerequisites: Math 125 required, Math 126 strongly recommended

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