Lecture Notes:

• Course Outline
• Introduction 1/24/08
• Note on why to ignore the constant when integrating p(t)
• First Order Differential Equations 1/31/08 (corrected 2/4/08)
• Applications of First Order Equations 2/7/08
• Two this week: Intro to Numerical Methods and Second Order DE's Part I 2/14/08
• Second Order DE's Part II 2/21/08
• Second Order DE's-Concluded 2/28/08
• Higher Order DE's 3/6/08
• Introduction to Linear Systems 3/27/08
• Linear Systems--Continued 4/3/08 (modified 4/12)
• Linear Systems--Concluded 4/10/08
• Introduction to Laplace Transforms 4/17/08
• Laplace Transforms--Continued 4/24/08
• Nonlinear Systems
5/5/2008

Answers:

• Problem 17 on page 356
• Test 1 answers
• Extra credit project, solution
• Excel file with numeric solutions (right-click and choose "Save Target As...").

Links:

• Paul Lamar's online text on Differential Equations
• May's 1974 article on chaotic behavior in logistic growth
• Excel file to implement Euler's method or the 4^th Order Runge-Kutta (Instructions on downloading an Excel file)
• Same thing using a VB function definition
• Two articles on the puzzling phenomenon, that math makes sense of the world:
  • Eugene Wigner's 1960 article: The Unreasonable Effectiveness of Mathematics in the Natural Sciences
  • Richard Hamming's 1980 article: The Unreasonable Effectiveness of Mathematics
• And a response: Raskin's Effectiveness of Mathematics
• The Phaser program is available from phaser.com.

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abenoit@trcc.commnet.edu