Web Resources Guide

Educational Resources
Extra Help and Lab Projects
Interactive Differential Equations
Biographies of Mathematicians Who Contributed to Differential Equations
Fun and Interesting

Educational Resources:

Description of the buckling beam phase space.
http://www.cis.ohio-state.edu/insight/buckling.html

Dynamical Systems modelling.
http://hiplab.newcastle.edu.au/data/chaos.html

Differential equations and oscillations.
http://goophy.physics.orst.edu/~rubin/rubin/VIEW/mydif2/

Definition of first order equations.
http://britannica.com/bcom/eb/article/4/0,5716,120664%2B10%2B111001,00.html

Book about Inverse Sturm-Liouville problems.
http://www.vsppub.com/books/physi/bk-InvStuPro.html

Book about Sturm-Liouville problems.
http://www.oup-usa.org/isbn/0198534159.html

Engineering Fundamentals, Sturm-Liouville boundary value problems
http://www.efunda.com/math/ode/Sturm_liouville.cfm

Recommended reading about Laplace Transforms.
http://www.a-ten.com/art/laplace.htm

More reading on Laplace Transforms.
http://www.ipe.liu.se/rwg/MRP_PUBL.HTM

Table of Laplace Transforms.
http://www.sosmath.com/diffeq/laplace/table/table.html

Examples of first order linear equations.
http://www.utpb.edu/scimath/wkfield/mod2/linear.html

Calculus and differential equations information.
http://www.seanet.com/~ksbrown/icalculu.htm

Matrix methods.
http://gepasi.dbs.aber.ac.uk/metab/mca_mtx.htm


Extra Help and Lab Projects:

Lab projects for Maple and Mathcad.
http://www.ualr.edu/~erkaufmann/detech/Detech.html

Lab projects for Mathematica.
http://math.cl.uh.edu/ode/3x/labs/labs.htm

First order differential equations.
http://www.sosmath.com/diffeq/first/first.html

Further first order linear equation information.
http://iq.orst.edu/mathsg/ode/first/linear/linear.html

Definition of Laplace Transforms.
http://ikpe1101.ikp.kfa-juelich.de/briefbook_data_analysis/node149.html

Further information about Laplace Transforms.
http://www.comp.mq.edu.au/courses/comp324/cn2/node1.html

More information on Laplace Transforms.
http://www.seanet.com/~ksbrown/kmath508.htm

Solving differential equations using Laplace Transform method.
http://rclsgi.eng.ohio-state.edu/~gnwashin/me481/laplace.html

Laplace Transform solutions to differential equations using Mathematica.
http://titan.ecs.fullerton.edu/~mathews/N310/projects2/e18.htm

Solving linear ordinary differential equations using Laplace Transforms.
http://iq.orst.edu/mathsg/ode/laplace/solve/solve.html

Resources and projects in differential equations.
http://forum.swarthmore.edu/differential/differential.html


Interactive Differential Equations:

Dynamical systems applets to manipulate.
http://www.dynamical-systems.org/

The Standard Map as used to describe chaotic motion.
http://order.ph.utexas.edu/standardmap/phasespace.html#top

Interactive learning in Calculus and Differential Equations with Applications.
http://www.ma.iup.edu/projects/CalcDEMma/Summary.html

Smart Solver, an engine for numerical solutions to differential equations
http://www.smartsolver.com/


Biographies of Mathematicians Who Contributed to Differential Equations:

Joseph Liouville (1809-1882).
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Liouville.html

Sir Isaac Newton (1643-1727).
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Newton.html

Pierre-Simon Laplace (1749-1827).
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Laplace.html

Leonhard Euler (1707-1783).
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Euler.html

George Green (1793-1841).
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Green.html

Joseph-Louis Lagrange (1736-1813).
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Lagrange.html

Friedrich Wilhelm Bessel (1784-1846).
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Bessel.html

Jacques Charles Francois Sturm (1803-1855).
http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Sturm.html


Fun and Interesting:

A description of aircraft dynamics and flight.
http://www.princeton.edu/~stengel/MAE566.html

Applied Dynamics International, a company that provides software and hardware to the automotive, aerospace, and defense industries.
http://www.adi.com/

Dynamical Systems.
http://www.math.sunysb.edu/dynamics/

Matrix methods in geometrical optics.
http://www.dur.ac.uk/~dph0rms/modopt/Lectures/gauss_notes/node1.html

What is phase space compression?
http://www.chem.utah.edu/chemistry/faculty/anderson/phase.html

Phase space, periodic orbit and caustic motion.
http://serendip.brynmawr.edu/chaos/info.html

Phase spaces and sections.
http://acl.gatech.edu/tutorial/phasespace.htm

Women in science, mathematics, and engineering.
http://www.math.sunysb.edu/posterproject/materials/squeeze-phase-space/squeeze-phase-space.html

Global Positioning System.
http://www.colorado.edu/geography/gcraft/notes/gps/gps_f.html

Tiling dynamical systems.
http://www.math.washington.edu/~hillman/research.html

Uncertainty and phase space.
http://www.virtualchaos.org/science/un-phase.html

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