Author | Redfern, Darren. author |
---|---|
Title | The Mapleยฎ O.D.E. Lab Book [electronic resource] / by Darren Redfern, Edgar Chandler |
Imprint | New York, NY : Springer New York, 1996 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-2402-0 |
Descript | X, 160 p. online resource |
1. Introduction -- How This Lab Book Is Organized -- Using the Diskette -- Where to Go for More Information -- Acknowledgments -- 2. Getting Started with Maple -- Starting Maple -- Basic Maple Syntax -- Basic Maple Objects -- Mixing and Matching Different Number Types -- Strings -- Maple Expressions -- Sets and Lists -- Calling Maple Commands -- Assignments and Equations -- The Use of Quotes in Maple -- Activities for ยง2 -- 3. First-Order ODEs -- Defining and Solving First-Order ODEs -- Explicit vs. Implicit Solutions -- Activities for ยง3 -- 4. Applications of First-Order ODEs -- Falling, Floating, or Accelerating Objects -- Mixture Problems -- Activities for ยง4 -- 5. Graphical Methods -- Direction Fields -- Some Examples -- Activities for ยง5 -- 6. Homogeneous Linear Differential Equations -- Activities for ยง6 -- 7. Non-homogeneous Linear Differential Equations -- Activities for ยง7 -- 8. Applications of Linear Differential Equations -- Free, Undamped Motion -- Free, Damped Motion -- Activities for ยง8 -- 9. More Applications and Systems of Differential Equations -- Forced Motion -- Systems of Linear Differential Equations -- Activities for ยง9 -- 10. Phase Planes -- Activities for ยง10 -- 11. Matrix Operations -- Basic Concepts -- Characteristic Values and Characteristic Vectors -- Activities for ยง11 -- 12. Matrix Methods of Solution -- Activities for ยง12 -- 13. Isoclines -- Activities for ยง13 -- 14. Series Solutions -- Activities for ยง14 -- 15. Numerical Methods -- Problems with Numerical Methods -- Activities for ยง15 -- 16. The Laplace Transform -- Activities for ยง16