Ordinary differential equations and linear algebra : a systems approach
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515.352 DEN/L Lectures, problems and solutions for ordinary differential equations | 515.352 DEN/L Lectures, problems and solutions for ordinary differential equations | 515.352 HEN/O Ordinary and partial differential equations | 515.352 KAP/O Ordinary differential equations and linear algebra : a systems approach | 515.352 MON/T Textbook of ordinary differential equations | 515.352 ROB/O Ordinary differential equations: applications, models and computing | 515.352 TES/O Ordinary differential equations and dynamical systems |
Ordinary differential equations (ODEs) and linear algebra are foundational post-calculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system.
The book systematically develops the linear algebra needed to solve systems of ODEs; includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters); emphasizes mathematical modelling; and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modelling of a system, the solution of the model, and the resulting physical description.
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