Ordinary differential equations: from calculus to dynamical systems

Preface.

Sample course outline.

Introduction to differential equations.

First-order differential equations.

Second-order differential equations.

Linear systems of first-order differential equations.

Geometry of autonomous systems.

Laplace transforms.

Appendix A. Answers to odd-numbered exercises.

Appendix B. Derivative and integral formulas.

Appendix C. Cofactor method for determinants.

Appendix D. Cramer's rule for solving systems of linear equations.

Appendix E. The Wronskian.

Appendix F. Table of Laplace transforms.

Index.

About the author.