For courses in Differential Equations and Linear Algebra. Acclaimed authors Edwards and Penney combine core topics in elementary differential equations with those concepts and methods of elementary linear algebra needed for a contemporary combined introduction to differential equations and linear algebra. Known for its real-world applications and its blend of algebraic and geometric approaches, this text discusses mathematical modeling of real-world phenomena, with a fresh new computational and qualitative flavor evident throughout in figures, examples, problems, and applications. In the Third Edition, new graphics and narrative have been added as needed-yet the proven chapter and section structure remains unchanged, so that class notes and syllabi will not require revision for the new edition.

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