Math 307 Spring Quarter 2019



  • What you need :
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    • Recommended Textbook Boyce and Diprima, Elementary Differential Equations and Boundary Value Problems or Elementary Differential Equations. Any edition is fine. Older editions cost less. A paperback version called Introduction to Differential Equations is available at the bookstore.

Sample Schedule -- not all classes will follow this exact schedule

Week Additional Materials Topics and Textbook Sections
1:
April 1-5
  • Prerequisite Skills
  • Some Basic Modelling § 1.1
  • Solutions to Differential Equations § 1.2
  • Direction Fields § 1.1
2:
April 8-12
  • Separable First Order ODE's § 2.2
  • Linear First Order ODE's § 2.1
3:
April 15-19
  • Modelling with First Order ODE's § 2.3
  • Population Dynamics § 2.5
4:
April 22-26
MIDTERM #1 ARCHIVE
  • Euler's Method § 2.7
  • Review
  • Midterm #1
5:
April 29- May 3
  • Second Order Constant Coefficient ODE's § 3.1
  • Homogeneous equations with distinct real roots § 3.1
  • Complex numbers and Euler's formula -- notes on complex numbers
  • Homogeneous equations with complex roots § 3.3
6:
May 6-10
  • Homogeneous equations with repeated roots § 3.4
  • Harmonic Oscillator § 3.7
  • Method of Undetermined Coefficients § 3.5
  • Forced Harmonic Oscillator § 3.8
7:
May 13-8
  • Forced Undamped harmonic Oscillator Beats and Resonance § 3.8
  • Forced Damped Harmonic Oscillator -- Frequency Response and Phase § 3.8
8:
May 20-24
MIDTERM #2 ARCHIVE
  • Review for Midterm2
  • Midterm 2 Wednesday
  • Laplace Transform -- definition as an integral § 6.1
9:
May 27-31
  • No class Monday -- Memorial Day
  • Tables of Laplace Transforms § 6.2
  • Inverse Laplace Transform using tables § 6.3
  • Solving IVP with Laplace Transforms § 6.3
10:
June 3-7
  • Step functions and time delay § 6.4
  • Impulse Response and Convolution §6.5 and 6.6
  • Review for Final Exam
11:
June 10-14
Final Exam Archive
  • Final Exam week