skip to content
Ordinary differential equations and linear algebra : a systems approach Preview this item
ClosePreview this item
Checking...

Ordinary differential equations and linear algebra : a systems approach

Author: Todd Kapitula; Society for Industrial and Applied Mathematics,
Publisher: Philadelphia, Pennsylvania : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), [2015]
Series: Other titles in applied mathematics.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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,  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

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.

Reviews

User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.
Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/926620751> # Ordinary differential equations and linear algebra : a systems approach
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
   library:oclcnum "926620751" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/pau> ;
   schema:about <http://dewey.info/class/515.352/e23/> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/2777008995#Thing/linear_algebra> ; # Linear algebra
   schema:about <http://experiment.worldcat.org/entity/work/data/2777008995#Thing/ordinary_differential_equations> ; # Ordinary differential equations
   schema:about <http://experiment.worldcat.org/entity/work/data/2777008995#Topic/differential_equations> ; # Differential equations
   schema:about <http://experiment.worldcat.org/entity/work/data/2777008995#Topic/algebras_linear> ; # Algebras, Linear
   schema:about <http://experiment.worldcat.org/entity/work/data/2777008995#Thing/mathematical_modeling> ; # Mathematical modeling
   schema:author <http://experiment.worldcat.org/entity/work/data/2777008995#Person/kapitula_todd> ; # Todd Kapitula
   schema:bookFormat schema:EBook ;
   schema:datePublished "2015" ;
   schema:description "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."@en ;
   schema:description "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."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/2777008995> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2777008995#Series/other_titles_in_applied_mathematics> ; # Other titles in applied mathematics.
   schema:isSimilarTo <http://worldcat.org/entity/work/data/2777008995#CreativeWork/> ;
   schema:name "Ordinary differential equations and linear algebra : a systems approach"@en ;
   schema:productID "926620751" ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/2777008995#Organization/society_for_industrial_and_applied_mathematics> ; # Society for Industrial and Applied Mathematics,
   schema:url <http://epubs.siam.org/doi/book/10.1137/1.9781611974096> ;
   schema:workExample <http://worldcat.org/isbn/9781611974096> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/926620751> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/2777008995#Organization/society_for_industrial_and_applied_mathematics> # Society for Industrial and Applied Mathematics,
    a schema:Organization ;
   schema:name "Society for Industrial and Applied Mathematics," ;
    .

<http://experiment.worldcat.org/entity/work/data/2777008995#Person/kapitula_todd> # Todd Kapitula
    a schema:Person ;
   schema:familyName "Kapitula" ;
   schema:givenName "Todd" ;
   schema:name "Todd Kapitula" ;
    .

<http://experiment.worldcat.org/entity/work/data/2777008995#Series/other_titles_in_applied_mathematics> # Other titles in applied mathematics.
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/926620751> ; # Ordinary differential equations and linear algebra : a systems approach
   schema:name "Other titles in applied mathematics." ;
   schema:name "Other titles in applied mathematics ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/2777008995#Thing/mathematical_modeling> # Mathematical modeling
    a schema:Thing ;
   schema:name "Mathematical modeling" ;
    .

<http://experiment.worldcat.org/entity/work/data/2777008995#Thing/ordinary_differential_equations> # Ordinary differential equations
    a schema:Thing ;
   schema:name "Ordinary differential equations" ;
    .

<http://experiment.worldcat.org/entity/work/data/2777008995#Topic/differential_equations> # Differential equations
    a schema:Intangible ;
   schema:name "Differential equations"@en ;
    .

<http://worldcat.org/entity/work/data/2777008995#CreativeWork/>
    a schema:CreativeWork ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/926620751> ; # Ordinary differential equations and linear algebra : a systems approach
    .

<http://worldcat.org/isbn/9781611974096>
    a schema:ProductModel ;
   schema:isbn "1611974097" ;
   schema:isbn "9781611974096" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.