Student Resource Manual to Accompany DifferentialEquations: A Modeling Perspective
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More About This Title Student Resource Manual to Accompany DifferentialEquations: A Modeling Perspective
English
The Authors' goal is to communicate an exciting new approach to Differential Equations - through Modeling, Visualization and Dynamical Systems. This new way of looking at ODEs blends the tried and true analytical methods with mathematical modeling, applications to engineering and the sciences, and geometric visualization via numerical solvers. The resulting rich insight and highly motivated learning offers students a powerful, stimulating, yet accessible experience that brings them to a deep understanding of ODEs!
English
First-Order Differential Equations and Models.
Initial Value Problems and Their Approximate Solutions.
Second-Order Differential Equations.
Applications of Second-Order Differential Equations.
Systems of Differential Equations.
The Laplace Transform.
Linear Systems of Differential Equations.
Stability.
Cycles, Bifurcations, and Chaos.
Fourier Series and Separation of Variables.
Series Solutions: Bessel Functions, Legendre Polynomials.
Appendices.
Answers to Selected Problems.
Index.
