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Preface. PART I. INTRODUCTION TO MATLAB AND NUMERICAL PRELIMINARIES. Chapter 1. MATLAB Basics. Chapter 2. Basic Concepts of Numerical Analysis with Taylor’s Theorem. Chapter 3. Introduction to M-Files. Chapter 4. Programming in MATLAB. Chapter 5. Floating Point Arithmetic and Error Analysis. Chapter 6. Rootfinding. Chapter 7. Matrices and Linear Systems. PART II. ORDINARY DIFFERENTIAL EQUATIONS. Chapter 8. Introduction to Differential Equations. Chapter 9. Systems of First Order Differential Equations and Higher Order Differential Equations. Chapter 10. Boundary Value Problems for Ordinary Differential Equations. PART III. PARTIAL DIFFERENTIAL EQUATIONS. Chapter 11. Introduction to Partial Differential Equations. Chapter 12. Parabolic and Hyperbolic Partial Differential Equations. Chapter 13. The Finite Element Method. Appendix A. Introduction to MATLAB’s Symbolic Toolbox. Appendix B. Solutions to All Exercises for the Reader. References. MATLAB Command Index. General Index.