This workbook is intended for advanced undergraduate or beginning graduate students as a supplement to a traditional course in numerical mathematics and as preparation for independent research involving numerical mathematics. Upon completion of this workbook, students will have a working knowledge of MATLAB programming, they will have themselves programmed algorithms encountered in classwork and textbooks, and they will know how to check and verify their own programs against hand calculations and by reference to theoretical results, special polynomial solutions and other specialized solutions. No previous programming experience with MATLAB is necessary. Request Inspection Copy Contents: Rootfinding, Interpolation, Approximation and Quadrature: Introduction to MATLAB Roots of Equations The Newton–Raphson Method Multidimensional Newton's Method Interpolation on Evenly-Spaced Points Polynomial and Piecewise Linear Interpolation Higher-Order Interpolation Legendre Polynomials and L² Approximation Quadrature Topics in Quadrature and Roundoff Differential Equations and Linear Algebra: Explicit ODE Methods Implicit ODE Methods Boundary Value Problems and Partial Differential Equations Vectors, Matrices, Norms and Errors Solving Linear Systems Factorizations The Eigenvalue Problem Singular Value Decomposition Iterative Methods Readership: Senior undergraduate and first year graduate students in mathematics, science and engineering.