© 2016

Calculus for Cognitive Scientists

Higher Order Models and Their Analysis


Part of the Cognitive Science and Technology book series (CSAT)

Table of contents

  1. Front Matter
    Pages i-xxxiii
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. James K. Peterson
      Pages 3-7
  3. Review

    1. Front Matter
      Pages 9-9
    2. James K. Peterson
      Pages 11-59
    3. James K. Peterson
      Pages 61-84
    4. James K. Peterson
      Pages 85-125
  4. The Main Event

    1. Front Matter
      Pages 127-127
    2. James K. Peterson
      Pages 129-140
    3. James K. Peterson
      Pages 141-148
    4. James K. Peterson
      Pages 149-170
    5. James K. Peterson
      Pages 171-235
    6. James K. Peterson
      Pages 237-286
  5. Interesting Models

    1. Front Matter
      Pages 287-287
    2. James K. Peterson
      Pages 289-354
    3. James K. Peterson
      Pages 355-379
    4. James K. Peterson
      Pages 381-399
    5. James K. Peterson
      Pages 401-431
  6. Nonlinear Systems Again

    1. Front Matter
      Pages 433-433
    2. James K. Peterson
      Pages 435-473

About this book


This book offers a self-study program on how mathematics, computer science and science can be profitably and seamlessly intertwined. This book focuses on two variable ODE models, both linear and nonlinear, and highlights theoretical and computational tools using MATLAB to explain their solutions. It also shows how to solve cable models using separation of variables and the Fourier Series.


Antiderivatives Cancer Model First Order Multivariable First Order ODEs Function Approximation Insulin Model Multivariable Calculus Nonlinear ODEs Viability Selection

Authors and affiliations

  1. 1.Dept of Mathematical SciencesClemson UniversityClemsonUSA

About the authors

Dr. James Peterson is an Associate Professor in Mathematical Sciences and Biological Sciences at Clemson University, USA. His formal training is in mathematics but he has worked as an aerospace engineer and a software engineer also. He enjoys working on very hard problems that require multiple disciplines to make sense out of and he reads, studies and plays in cutting edge areas a lot as part of his interests.

Bibliographic information

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