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MindTap Course List Ser.: A First Course in Differential Equations with Modeling

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ISBN
9781305965720
Publication Name
First Course in Differential Equations with Modeling Applications
Item Length
11.1in
Publisher
Cengage Learning
Series
Mindtap Course List Ser.
Publication Year
2017
Type
Textbook
Format
Hardcover
Language
English
Item Height
0.8in
Author
Dennis G. Zill
Item Width
8.8in
Item Weight
39.3 Oz
Number of Pages
480 Pages

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Product Information

Straightforward and easy to read, A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS, 11th Edition, gives you a thorough overview of the topics typically taught in a first course in differential equations. Your study of differential equations and its applications will be supported by a bounty of pedagogical aids, including an abundance of examples, explanations, "Remarks" boxes, definitions, and MindTap Math - an available option which includes an online version of the book, lecture videos, a pre-course assessment, and more.

Product Identifiers

Publisher
Cengage Learning
ISBN-10
1305965728
ISBN-13
9781305965720
eBay Product ID (ePID)
234814796

Product Key Features

Author
Dennis G. Zill
Publication Name
First Course in Differential Equations with Modeling Applications
Format
Hardcover
Language
English
Series
Mindtap Course List Ser.
Publication Year
2017
Type
Textbook
Number of Pages
480 Pages

Dimensions

Item Length
11.1in
Item Height
0.8in
Item Width
8.8in
Item Weight
39.3 Oz

Additional Product Features

Lc Classification Number
Qa372.Z54 2018
Edition Number
11
Table of Content
1. INTRODUCTION TO DIFFERENTIAL EQUATIONS. Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapter 1 in Review. 2. FIRST-ORDER DIFFERENTIAL EQUATIONS. Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations and Integrating Factors. Solutions by Substitutions. A Numerical Method. Chapter 2 in Review. 3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS. Linear Models. Nonlinear Models. Modeling with Systems of First-Order Differential Equations. Chapter 3 in Review. 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS. Preliminary Theory-Linear Equations. Reduction of Order. Homogeneous Linear Equations with Constant Coefficients. Undetermined Coefficients-Superposition Approach. Undetermined Coefficients-Annihilator Approach. Variation of Parameters. Cauchy-Euler Equation. Solving Systems of Linear Differential Equations by Elimination. Nonlinear Differential Equations. Chapter 4 in Review. 5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS. Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Nonlinear Models. Chapter 5 in Review. 6. SERIES SOLUTIONS OF LINEAR EQUATIONS. Review of Power Series Solutions About Ordinary Points. Solutions About Singular Points. Special Functions. Chapter 6 in Review. 7. LAPLACE TRANSFORM. Definition of the Laplace Transform. Inverse Transform and Transforms of Derivatives. Operational Properties I. Operational Properties II. Dirac Delta Function. Systems of Linear Differential Equations. Chapter 7 in Review. 8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS. Preliminary Theory. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential. Chapter 8 in Review. 9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS. Euler Methods. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems. Chapter 9 in Review. Appendix I. Gamma Function. Appendix II. Matrices. Appendix III. Laplace Transforms. Answers for Selected Odd-Numbered Problems.
Copyright Date
2018
Topic
Differential Equations / General
Lccn
2016-936077
Dewey Decimal
515.35
Intended Audience
College Audience
Dewey Edition
23
Illustrated
Yes
Genre
Mathematics

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