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 Education'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.
Steven C. Chapra (Medford, MA) is Professor of Civil and Environmental Engineering, Tufts University.
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