Modeling Differential Equations in Biology
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Given that a college level life science student will take only one additional calculus course after learning its very basics, what material should such a course cover? This book answers that question. It is based on a very successful one-semester course taught at Harvard and aims to teach students in the life sciences understanding the use of differential equations. It is enriched with illustrative examples from real papers. Necessary notions from linear algebra and partial differential equations are introduced as and when needed, and in the context of applications. Drawing on a very successful one-semester course at Harvard, this text aims to teach students in the life sciences how to use differential equations. It is enriched with illustrative examples from real papers. Necessary notions from mathematics are introduced as and when needed, and in the context of applications. Aimed at biologists wishing to understand mathematical modelling rather than just learning math methods.
List price: $74.99
Publisher: Cambridge University Press
Publication date: 1/17/2008
Size: 6.75" wide x 9.75" long x 1.00" tall
|Exponential Growth with Appendix on Taylor's Theorem|
|Introduction to Differential Equations|
|Stability in a One Component System|
|Systems of First Order Differential Equations|
|Phase Plane Analysis|
|Introduction to Vectors|
|Equilibrium in Two Component, Linear Systems|
|Stability in Non-Linear Systems|
|Non-linear Stability Again|
|Remarks about Australian Predators|
|Introduction to Advection|
|Two Key Properties of the Advection and Diffusion Equations|
|The No Trawling Zone|
|Separation of Variables|
|The Diffusion Equation and Pattern Formation|
|Summary of Advection and Diffusion|
|Traveling Wave Velocities|
|Fast and Slow|
|Estimating Elapsed Time|
|Testing for Periodicity|
|Causes of Chaos. Extra Exercises and Solutions|