Applied Numerical Methods with MATLAB is designed to support a one-semester course in numerical methods. It has been written for students who want to learn and apply numerical methods in order to solve problems in engineering and science. As such, the methods are motivated by problems rather than by mathematics. That said, sufficient theory is provided so students come away with insight into the techniques and their shortcomings.

This title will be available in Connect, featuring SmartBook, the MHeBook, and homework problems. Instructor Resources available for this title include: Image Library, Instructor Solutions Manual, Lecture PowerPoints, and MatLab Files.

1 Mathematical Modeling, Numerical Methods, and Problem Solving

2 MATLAB Fundamentals

3 Programming with MATLAB

4 Roundoff and Truncation Errors

5 Roots: Bracketing Methods

6 Roots: Open Methods

7 Optimization

8 Linear Algebraic Equations and Matrices

9 Gauss Elimination

10 LU Factorization

11 Matrix Inverse and Condition

12 Iterative Methods

13 Eigenvalues

14 Linear Regression

15 General Linear Least-Squares and Nonlinear Regression

16 Fourier Analysis

17 Polynomial Interpolation

18 Splines and Piecewise Interpolation

19 Numerical Integration Formulas

20 Numerical Integration of Functions

21 Numerical Differentiation

22 Initial-Value Problems

23 Adaptive Methods and Stiff Systems

24 Boundary-Value Problems