A First Course in Differential Equations by Dennis Zill

Description: About this productProduct InformationMaster differential equations and succeed in your course with A FIRST COURSE IN DIFFERENTIAL EQUATIONS WITH MODELING APPLICATIONS with accompanying CD-ROM and technology! Straightfoward and readable, this mathematics text provides you with tools such as examples, explanations, definitions, and applications designed to help you succeed. The accompanying DE Tools CD-ROM makes helps you master difficult concepts through twenty-one demonstration tools such as Project Tools and Text Tools. Studying is made easy with iLrn® Tutorial, a text-specific, interactive tutorial software program that gives the practice you need to succeed.Product IdentifiersPublisherBrooks/ColeISBN-100534418783ISBN-139780534418786eBay Product ID (ePID)31010848Product Key FeaturesAuthorDennis G. ZillPublication NameFIRST Course in Differential Equations with Modeling ApplicationsFormatHardcoverLanguageEnglishPublication Year2004SeriesAvailable Titles Cengagenow Ser.TypeTextbookNumber of Pages472 PagesDimensionsItem Length10.8in.Item Height0.9in.Item Width8.7in.Item Weight43.3 OzAdditional Product FeaturesLc Classification NumberQa372.Z54 2004Edition Number8Reviews"I believe Zill writes very well. He seems to explain ideas and concepts with great clarity. He introduces new topics slowly and methodically so the student will grasp the idea as he/she reads along." "Zill has a strong textbook: 1. He covers the important material in a depth suitable for a first course. 2. He writes well, is easy to read and understand. 3. He has a good mix of theory and application. As an engineering faculty teaching differential equations, I really appreciate the examples that show ho, The writing style and level of exposition are exactly what they should be for our course. The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., The writing style and level of exposition are exactly what they should be for our courseâ€¦. The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., The writing style and level of exposition are exactly what they should be for our course'. The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., The writing style and level of exposition are exactly what they should be for our course…. The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., The writing style and level of exposition are exactly what they should be for our course.... The greatest strengths of the book are its organization, its clear explanations of material and its problem sets., "I believe Zill writes very well. He seems to explain ideas and concepts with great clarity. He introduces new topics slowly and methodically so the student will grasp the idea as he/she reads along." "Zill has a strong textbook: 1. He covers the important material in a depth suitable for a first course. 2. He writes well, is easy to read and understand. 3. He has a good mix of theory and application. As an engineering faculty teaching differential equations, I really appreciate the examples that show how differential equations arise and why they are useful things to study."Table of Content1. INTRODUCTION TO DIFFERENTIAL EQUATIONS. Definitions and Terminology. Initial-Value Problems. Differential Equations as Mathematical Models. Chapter 1 in Review. Project 1: Diving Deception Pass. 2. FIRST-ORDER DIFFERENTIAL EQUATIONS. Solution Curves Without a Solution. Separable Variables. Linear Equations. Exact Equations. Solutions by Substitutions. A Numerical Method. Chapter 2 in Review. Project 2: Harvesting Natural Resources. 3. MODELING WITH FIRST-ORDER DIFFERENTIAL EQUATIONS. Linear Models. Nonlinear Models. Modeling with Systems of Differential Equations. Chapter 3 in Review. Project 3: Swimming the Salmon River. 4. HIGHER-ORDER DIFFERENTIAL EQUATIONS. Linear Differential Equations: Basic Theory. 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 Equations by Elimination. Nonlinear Differential Equations. Chapter 4 in Review. Project 4: Bungee Jumping. 5. MODELING WITH HIGHER-ORDER DIFFERENTIAL EQUATIONS. Linear Models: Initial-Value Problems. Linear Models: Boundary-Value Problems. Nonlinear Models. Chapter 5 in Review. Project 5: The Collapse of Galloping Gertie. 6: SERIES SOLUTIONS OF LINEAR EQUATIONS. Solutions About Ordinary Points. Solutions About Singular Points. Special Functions. Chapter 6 in Review. Project 6: Defeating Tamarisk. 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. Project 7: Murder at the Mayfair. 8. SYSTEMS OF LINEAR FIRST-ORDER DIFFERENTIAL EQUATIONS. Preliminary Theory. Homogeneous Linear Systems. Nonhomogeneous Linear Systems. Matrix Exponential. Chapter 8 in Review. Project 8: Designing for Earthquakes. 9. NUMERICAL SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS. Euler Methods and Error Analysis. Runge-Kutta Methods. Multistep Methods. Higher-Order Equations and Systems. Second-Order Boundary-Value Problems. Chapter 9 in Review. Project 9: The Hammer. Appendix I: Gamma Function. Appendix II: Introduction to Matrices. Appendix III: Laplace Transforms. Selected Answers for Odd-Numbered Problems.Copyright Date2005Target AudienceCollege AudienceTopicDifferential Equations / General, General, CalculusLccn2004-104625Dewey Decimal515/.35Dewey Edition22IllustratedYesGenreMathematics

Price: 17.51 USD

Location: Multiple Locations

End Time: 2024-01-16T23:24:37.000Z

Shipping Cost: 3.97 USD