Class Notes
for Math 4348
ADD. KEYWORDS: Class Notes, Differential Operators and
Their Adjoints, The Fredholm Alternative Theorems, G(x,t) in the First Alternative,
G(x,t) and the Dirac Delta Distribution
SOURCE: Jim Herod, Georgia Institute of Technology
TECHNOLOGY: Adobe Acrobat Reader, Maple
Computer Labs for Math
ADD. KEYWORDS: Direction Fields of First Order Differential
Equationsin, Integral Curves of First Order Differential Equations, Euler's
Method, Successive Approximation, Mechanical Vibrations, Power Series Solutions
to Differential Equations
SOURCE: Michael R. Anderson, West Virginia State College
TECHNOLOGY: LaTeX, Adobe Acrobat Reader, Derive
Differential
Equations
ADD. KEYWORDS: Worksheets, Review Quizzes, Calculator
exercises, Slope Fields, Autonomous Equations and Phase Lines, Approximation
Method of Euler, Newton's Law of Cooling and Heatin, Graphing Second-order
Equations, Free Oscillations, Forced Oscillations, The Phase Plane, The Laplace
Transform and Discontinuous Functions
SOURCE: Bem Cayco and Linda Valdes, San José State
University
TECHNOLOGY: TI-89 and TI-86 graphing calculators
Differential Equations
ADD. KEYWORDS: Course Materials, Separable Variables,
Exact Equations, Linear Equations, Homogeneous Equations, Applications, Logistics
Functions, Homogeneous and non-homogeneous, Differential Operator and annihilators,
Spring/mass systems, Numeric methods, Laplace transform, Inverse Transform,
Systems of Differential Equations
SOURCE: Richard Burns, Springfield Technical Community
College
TECHNOLOGY: Mathematica, Java Applet
Differential
Equations and Oscillations
ADD. KEYWORDS: Tutorial, Linear Oscillator, Euler's Algorithm,
Runge-Kutta, Energy, Harmonic Oscillator With Viscous Friction
fun@learning.physics
ADD. KEYWORDS: Projectile motion, The damped harmonic
oscillator, Coupled oscillations, The Kepler problem, The simple plane pendulum,
Chaos in the driven pendulum, Motion in an electromagnetic field
IDEA - Internet Differential Equations
Activities
ADD. KEYWORDS: Modelling, Tutorials, Bungee Jumping, Mathematical
Models of Neurons, Small Mammal Dispersion, Rangeland Ecosystems
SOURCE: Thomas LoFaro, Kevin Cooper, Ray Huffaker and
Ronald Poshusta from Washington State University
TECHNOLOGY: Java applets
Mathematics Explorations I &
II
ADD. KEYWORDS: Projects involving activities at NASA
SOURCE: Capital Community College, NASA - AMATYC - NSF
TECHNOLOGY: Adobe Acrobat Reader
The MathServ
DE Toolkit
ADD. KEYWORDS: Solutions of ODE's, Variation of parameters,
Cauchy-Euler ODE, Spring (unforced) ODE, Spring (forced) ODE, Laplace transform,
Inverse Laplace transform, etc.
ODE Software for MATLAB
ADD. KEYWORDS: dfield, pplane
SOURCE: John C. Polking, Rice University
TECHNOLOGY: MATLAB, Java applet, Software
Ordinary
Differential Equations
ADD. KEYWORDS: Numerical techniques, Applications to physics,
Euler Method, The Leap-Frog Method, The Runge-Kutta Method, The Predictor-Corrector
Method, The Intrinsic Method
Principles
and Methods of Applied Mathematics
ADD. KEYWORDS: Course materials, lecture notes, spectral
theory and integral equations, spectral theorem for symmetric matrices and
the Fredholm alternative, separation of variables and Sturm-Liouville theory,
problems from quantum mechanics: discrete and continuous spectra, differential
equations and integral equations, integral equations and the Fredholm alternative,
introduction to perturbation theory, elementary asymptotics, calculus of variations
and functional equations, the Euler-Lagrange equations, topics in diffusive
and dispersive waves
SOURCE: Joceline Lega, University of Arizona
S.O.S. Mathematics
- Differential Equations
ADD. KEYWORDS: Tutorial, First and Second Order Differential
Equations, Laplace Transform, Method of Undetermined Coefficients, Method
of Variation of Parameters
The SCHOL Project
ADD. KEYWORDS: Published Supplementary Materials, Maple,
Mathematica, Problem Sets
Simple ODE Solvers
ADD. KEYWORDS: Euler's method, the Improved Euler method
and Runge-Kutta
Simulating
the Battle of Trafalgar
ADD. KEYWORDS: Euler's method, Lanchester's Square Law
SOURCE: Jim Marsalis, Jim McManus, Debbie Preston, and
Jim Rahn
TECHNOLOGY: Graphing calculator, MathCad
Solutia
ADD. KEYWORDS: Symbolic and graphical solutions of ordinary
differential equations
UIC - Math 220
ADD. KEYWORDS: Maple, Laplace and Inverse Laplace transform,
Direction Fields, Numerical methods for 1st order ODEs, Power Series and Series
Solution