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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: (DLC) 2015030491 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Todd Kapitula; Society for Industrial and Applied Mathematics, |

ISBN: | 9781611974096 1611974097 |

OCLC Number: | 926620751 |

Description: | 1 online resource (xii, 300 pages). |

Contents: | Preface -- 1. Essentials of linear algebra -- 2. Scalar first-order linear differential equations -- 3. Systems of first-order linear differential equations -- 4. Scalar higher-order linear differential equations -- 5. Discontinuous forcing and the Laplace transform -- 6. Odds and ends. |

Series Title: | Other titles in applied mathematics. |

Responsibility: | Todd Kapitula, Calvin College, Grand Rapids, Michigan. |

### Abstract:

Ordinary differential equations (ODEs) and linear algebra are foundational postcalculus 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. Ordinary Differential Equations and Linear Algebra: A Systems Approach 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 modeling; and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description.

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