Math 3400 - Intro to Differential Equations - Spring 2012
Dr. Radu C. Cascaval

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Syllabus

Homework

Exams

Lectures

Resources

• ODE Software for MATLAB: (Rice University):
  

- Direction field: dfield8.m (1st order ODE)
- Phase Plane: pplane8.m (for systems of two 1st order ODEs)
- Solutions to systems of diff eqs: odesolve.m (any number of equations)

Logistic Model for Population Dynamics

US Population Chart

Numerical Methods for ODEs

Euler Method: euler.m (page 113)
Improved Euler Method: ieuler.m (page 126)
Runge Kutta Method: RungeKutta.m (page 135)

Mechanical Vibrations

Spring-Mass system (undamped) (Java Applet)

Coupled Spring-Mass system (Java Applet)

Accelerometer Principle

PhysBeans Applets (see linear oscillations)

Mechanical Vibrations (YouTube)
- Forced oscillations
- Resonance test
- Ground resonance (and here, for real)