Math 307 Summer 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. Paperback version called Introduction to Differential Equations is available at the bookstore.

    Math 307 Grade Policy. Beginning Autumn 2017, the department of mathematics has adopted a grade policy for this course. The median course grades for each section of Math 307 taught during the regular academic year will generally fall within the range of 3.0 +/- 0.2 .

Sample Schedule

Week Additional Materilas Topics and Textbook Sections
1:
June 24-28
  • Prerequisite Skills
  • Some Basic Modelling § 1.1
  • Solutions to Differential Equations § 1.2
  • Direction Fields § 1.1
2:
July 1-5
  • Separable First Order ODE's § 2.2
  • Linear First Order ODE's § 2.1
3:
July 8-12
  • Modelling with First Order ODE's § 2.3
  • Population Dynamics § 2.5
4:
July 15-19
MIDTERM #1 ARCHIVE
  • Euler's Method § 2.7
  • Review
  • Midterm #1
5:
July 22-26
  • Second Order Constant Coefficient ODE's § 3.1
  • Modelling -- Damped Harmonic oscillator § 3.7 (just modeling--optional)
  • 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:
July 29-Aug.2
  • Homogeneous equations with repeated roots § 3.4
  • Harmonic Oscillator § 3.7
  • Method of Undetermined Coefficients § 3.5
  • Forced Harmonic Oscillator § 3.8
7:
August 4-9
MIDTERM #2 ARCHIVE
  • Forced Undamped harmonic Oscillator Beats and Resonance § 3.8
  • Forced Damped Harmonic Oscillator -- Frequency Response and Phase § 3.8
  • Midterm #2
8:
August 12-16
  • Laplace Transform -- definition as an integral § 6.1
  • Tables of Laplace Transforms § 6.2
  • Inverse Laplace Transform using tables § 6.2
  • Solving IVP with Laplace Transforms § 6.2
9:
August 19-23
Final Exam Archive
  • Step functions and and discontinuous forcing (i.e .time delay) § 6.3 and 6.4
  • Final Exam