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Maple - The World's First Fully Integrated Analytical Computation System



This is a complete set of Maple lessons for an undergraduate course in Ordinary Differential Equations. These 35 lessons were developed by Prof. Douglas Meade of the University of South Carolina.

Each lesson develops the theory behind the topic and provides numerous worked examples. All principles and examples are illustrated with Maple diagrams or animations.

Download the course for Maple 7

Download the course for Maple 6

Preview or download individual lessons below

Part I Preliminaries
Unit 1 Introduction to Differential Equations in Maple preview download
Part II Analytic Solution of First-Order Differential Equations
Unit 2 Separable Equations preview download
Unit 3 Application: Exponential and Logistic Growth preview download
Unit 4 First-Order Linear Equations preview download
Unit 5 Application: Mixing Problems preview download
Unit 6 Bifurcations preview download
Unit 7 Application: The Spruce Budworm preview download
Unit 8 Exact Equations preview download
Unit 9 Application: Orthogonal Trajectories preview download
Unit 10 Substitution and Change of Variables preview download
Unit 11 First-Order Linear Systems preview download
Part III Graphical Solution of Initial Value Problems
Unit 12 Slope Fields preview download
Unit 13 Direction Fields and Phase Portraits preview download
Part IV Numerical Methods for Initial Value Problems
Unit 14 Euler's Method preview download
Unit 15 Improved Euler's Method preview download
Unit 16 Runge-Kutta Method preview download
Part V Numerical Methods for Boundary Value Problems
Unit 17 Shooting Method preview download
Unit 18 Finite Difference Method preview download
Part VI Analytic Solutions for Higher-Order Differential Equations and Systems
Unit 19 Linear Equations preview download
Unit 20 Application: Rocket Flight preview download
Unit 21 Application: Electrical Networks preview download
Unit 22 Application: Parachute Problem preview download
Unit 23 Nonlinear Equations preview download
Unit 24 Application: Chemical Reactions preview download
Unit 25 Application: Population Models preview download
Unit 26 Application: Predator-Prey Models preview download
Unit 27 Application: Competition Models preview download
Unit 28 Application: Unforced Harmonic Motion preview download
Unit 29 Application: Nonlinear Springs preview download
Unit 30 Application: Suspended Wire preview download
Unit 31 Power Series Solutions preview download
Part VII Laplace Transforms
Unit 32 Using Laplace Transforms to Solve Initial Value Problems preview download
Unit 33 Using Laplace Transforms to Solve Systems preview download
Unit 34 Piecewise-Defined and Impulse Functions preview download
Unit 35 Transfer Functions and Frequency Response Curves preview download