Part One - Modeling, Computers, and Error Analysis
1) Mathematical Modeling, Numerical Methods, and Problem Solving
2) MATLAB Fundamentals
3) Programming with MATLAB
4) Roundoff and Truncation Errors

Part Two - Roots and Optimization
5) Roots: Bracketing Methods
6) Roots: Open Methods
7) Optimization

Part Three - Linear Systems
8) Linear Algebraic Equations and Matrices
9) Gauss Elimination
10) LU Factorization
11) Matrix Inverse and Condition
12) Iterative Methods
13) Eigenvalues

Part Four - Curve Fitting
14) Linear Regression
15) General Linear Least-Squares and Nonlinear Regression
16) Fourier Analysis
17) Polynomial Interpolation
18) Splines and Piecewise Interpolation

Part Five - Integration and Differentiation
19) Numerical Integration Formulas
20) Numerical Integration of Functions
21) Numerical Differentiation

Part Six - Ordinary Differential Equations
22) Initial-Value Problems
23) Adaptive Methods and Stiff Systems
24) Boundary-Value Problems

Appendix A - MATLAB Built-In Functions
Appendix B - MATLAB M-File Functions
Index