Linear Algebra and Differential Equations

Description

• Offers a solid foundation in both linear algebra and differential equations, with an emphasis on finding connections between the two subjects.

• Contains applications to many areas, including engineering, business, and life sciences.

• Maple exercises incorporated throughout; support is also offered to users of Mathematica and Matlab in the technology resource manual.

Linear Algebra and Differential Equations has been written for a one-semester combined linear algebra and differential equations course, yet it contains enough material for a two-term sequence in linear algebra and differential equations. By introducing matrices, determinants, and vector spaces early in the course, the authors are able to fully develop the connections between linear algebra and differential equations. The book is flexible enough to be easily adapted to fit most syllabi, including separate courses that that cover linear algebra in the first followed by differential equations in the second. Technology is fully integrated where appropriate, and the text offers fresh and relevant applications to motivate student interest.

1. Matrices and Determinants.

2. Vector Spaces.

3. First Order Ordinary Differential Equations.

4. Linear Differential Equations.

5. Linear Transformations and Eigenvalues and Eigenvectors.

6 Systems of Differential Equations.

7. The Laplace Transform.

8. Power Series Solutions to Linear Differential Equations.

9. Inner Product Spaces.

Answers to Odd-Numbered Exercises.

Index of Maple Commands.

Index.