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Differential equations can be taught using Sage as an inventive new approach.
David Joyner and Marshall Hampton's lucid textbook explains differential equations using the free and open-source mathematical software Sage.
Since its release in 2005, Sage has acquired a substantial following among mathematicians, but its first user was Joyner, who is credited with helping famed mathematician William Stein turn the program into a usable and popular choice.
Introduction to Differential Equations Using Sage extends Stein's work by creating a classroom tool that allows both differential equations and Sage to be taught concurrently. It's a creative and forward-thinking approach to math instruction.
Topics include:
- First-Order Differential Equations
- Incorporation of Newtonian Mechanics
- Second-Order Differential Equations
- The Annihilator Method
- Using Linear Algebra with Differential Equations
- Nonlinear Systems
- Partial Differential Equations
- Romeo and Juliet
David Joyner is a professor in the Mathematics Department at the U.S. Naval Academy. He is the author of Adventures in Group Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys, also published by Johns Hopkins. Marshall Hampton is a professor in the Department of Mathematics and Statistics at the University of Minnesota, Duluth.
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