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
Appendix A: Existence and Uniqueness of Solutions
Appendix B: Theory of Determinants
Answers to Selected Problems
Index
