Course Links

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General Topics

• Why Do I Need Differential Equations?
• Penn State's Phase Portraits for ODE's and Autonomous Systems
• Direction Field Applet for First Order ODEs (Might be gone)
• Direction Fields - CCP Page An interactive discussion about slope fields
• DE Applet
• Interactive Differential Equations

• Chapter 1 and 2

• Solving Linear Systems

Review Topics

• Calculus Review
• Table of Trigonometric Identities
• First and Second Order Differential Equations Review

Maple

• Maple Basics: HTML, Basic.mws

• Maple Exercises for DEs

• The Indiana University, Bloomington index of online MAPLE tutorials

• Maplesoft (Maple Home), Maple Application Center - Useful Maple Sheets
  • Application Center: Application: Solving Ordinary Differential ...
• Maple V at Indiana University - Maple V packages, lecture material, and tutorials.
• Dept. of Mathematics, University of Utah - Introduction to Maple, tutorial, and references.
• MAPLE worksheets - Kawski, Arizona State University
• Northwester University Maple Worksheets

First Order ODEs

Second Order ODEs

Applications

• http://www.enm.bris.ac.uk/research/nonlinear/tacoma/tacoma.html 

• Population Models

  • US Population, Exponential Model uspop.mws (Maple 8)

  • US Population, Exponential Model malthus.mcd (Mathcad)

  • US Population, Logistic Model logistic.mcd (Mathcad)

• Inverse Problems for Vibrating Beams - PPT

Nonhomogeneous Problems

Numerical Solutions

• Euler's Method Applet, Another One

• Numerical Solutions

• Matlab .... http://www.math.vt.edu/courses/math2214/matlab/2214matlab/mlabdocm/index.html 

Series Solutions

• Power Series Method - Notes from James Cook University
  • Power Series Solutions - by Alan Jones, University of Queensland
  • Power Series Section from Larson Calculus text.
  • One More on Power Series Solutions - http://www.maths.gla.ac.uk/~wsw/ode3/ode3lect.htm 
  • SOS Math on ODEs
  • Frobenius Method at MathWorld

Special Functions

Laplace Transforms

• Laplace Transforms
• Tables
  • Collections of Worksheets! http://www.equationsheet.com/ 
  • http://www.vibrationdata.com/Laplace.htm 
  • eFunda: Laplace Transform Table
  • http://cnyack.homestead.com/files/alaplace/laptre.htm 
  • Table of Laplace Transform Properties 
  • http://www.sosmath.com/tables/laplace/laplace.html 

Eigenvalue Problems

Systems

Nonlinear Dynamical Systems

• Online Books and Lecture Notes in Mathematics
• An Introduction to Differential Equations
• Differential Equations Calculus@Internet
• Tutorial Sheets and Outline Solutions
• Differential Equations for Engineers - Matlab and Applications
• Math Methods for Engineers - More ODE Material!

Other Course Materials

• Differential Equations
• Differential Equations: Explorations Through Technology (UALR & UNCW)
• Topics in Differential Equations
• Visual Fit
• Applet Based Numerical Calculations
• Harry S. Truman College Math Links
• Excel Tutorials
• Nonlinear Least Squares Curve Fitter
• MathPad - CurveFitting
• Hunger Site