Test 1 Review Material
Test 1 Solutions

Quiz 2 Solutions

Test 2 Review Material
Test 2 Solutions

Quiz 3 Solutions

Quiz 4 Solutions

Handouts

• Course Policies
• Homework assignments!
• Partial Derivatives
• Complex Numbers
• Intro to Maple

• Optional Reading on Vector Spaces
• Chapter 6: Laplace Transforms (Not included in Math 305, but is used in some engineering courses.)
• Just for fun! It is called the Chladni plate experiment, first done by Ernst Chladni (1756-1827)
• Math behind the Chladni plate experiment

• Pages 1-38 Contents of page 1-38.
• Maxima Example from here.
• Pages 39-56 Section 2.3
• Pages 57-63 Section 2.5
• Exact Equations Section 2.6
• Reducible Second Order Equations
• Numerical Methods Section 2.7 Speadsheet for example.
• Outline of Chapter 3.
• Real Roots Sections 3.1 & 3.4
• Reduction of Order Section 3.4, second half.
• Test I covers the above material.
• Complex Roots Section 3.3
• Euler's Equations <-- Optional reading
• Theory Section 3.2
• 3.5 Undetermined Coefficients
  1. Old Lecture Notes
  2. Typed and expanded version
  3. Table for Section 3.5
  4. Answers to Student Exercises
• Variation of Parameters Section 3.6
• Applications I Section 3.7
• Applications II Section 3.8
  • Mass-Spring Animation Check it out!
  • Mass-Spring Examples Check it out!
• Chapter 4: In Brief
  • A Coupled Mass-Spring Animation This is an animation for 4.2 #39.
  • A mass-spring video from MIT
• Chapter 5
  • Series Solutions with Maple
• Test II covers the above material.

• Chapter 10
  • Vibrating String Animation
  • Triangle Wave Examples
  • Animations for first two heat examples
  • Plots and animation for insulated ends example.
  • Heat Eq on a Square Plate Animation
  • Heat Eq on a Disk Animation