This course covers the use of numerical computing techniques for mathematical and scientific problems. Topics include: approximations and computer arithmetic, error analysis, conditioning and stability, Taylor series, finding the roots of nonlinear equations, eigenvalue problems, iterative methods for solving system of linear equations such as Jacobi and Gauss-Seidel methods, numerical optimization methods and their applications, Newton's and Lagrange’s polynomials for interpolation, curve fitting, basic statistics, correlation, characterization of regression model accuracy, numerical derivation and integration, solutions to ordinary differential equations.