Applied Numerical Methods with MATLAB is 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 that students come away with insight into the techniques and their shortcomings.
McGraw-Hill's Connect, is also available as an optional, add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need, when they need it, how they need it, so that class time is more effective. Connect allows the professor to assign homework, quizzes, and tests easily and automatically grades and records the scores of the student's work. Problems are randomized to prevent sharing of answers an may also have a "multi-step solution" which helps move the students' learning along if they experience difficulty.
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
