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For courses in Differential Equations and Linear Algebra.
The right balance between concepts, visualization, applications, and skills
Differential Equations and Linear Algebra provides the conceptual development and geometric visualization of a modern differential equations and linear algebra course that is essential to science and engineering students. It balances traditional manual methods with the new, computer-based methods that illuminate qualitative phenomena - a comprehensive approach that makes accessible a wider range of more realistic applications.
The book combines core topics in elementary differential equations with concepts and methods of elementary linear algebra. It starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout.
For the first time, MyLab™ Math is available for this text, providing online homework with immediate feedback, the complete eText, and more. Additionally, new presentation slides created by author David Calvis are available in Beamer (LaTeX) and PDF formats. The slides are ideal for classroom lectures and student review, and combined with Calvis' superlative instructional videos offer a level of support not found in any other Differential Equations course.
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List of contents
- Chapter 1: First-Order Differential Equations
- Chapter 2: Mathematical Models and Numerical Methods
- Chapter 3: Linear Systems and Matrices
- Chapter 4: Vector Spaces
- Chapter 5: Higher-Order Linear Differential Equations
- Chapter 6: Eigenvalues and Eigenvectors
- Chapter 7: Linear Systems of Differential Equations
- Chapter 8: Matrix Exponential Methods
- Chapter 9: Nonlinear Systems and Phenomena
- Chapter 10: Laplace Transform Methods
- Chapter 11: Power Series Methods
Summary
For courses in Differential Equations and Linear Algebra.
The right balance between concepts, visualisation, applications, and skills
Differential Equations and Linear Algebra provides the conceptual development and geometric visualisation of a modern differential equations and linear algebra course that is essential to science and engineering students. It balances traditional manual methods with the new, computer-based methods that illuminate qualitative phenomena - a comprehensive approach that makes accessible a wider range of more realistic applications.
The book combines core topics in elementary differential equations with concepts and methods of elementary linear algebra. It starts and ends with discussions of mathematical modeling of real-world phenomena, evident in figures, examples, problems, and applications throughout.
