MATH 7350 Scientific Computing I

MATH 7350 Scientific Computing I
Scientific Computing I
Introduction to numerical analysis: well-posedness and condition number, stability and convergence of numerical methods, a priori and a-posteriori analysis, source of error in computational models, machine representation of numbers. Linear operators on normed spaces. Root finding for nonlinear equations. Polynomial interpolation. Numerical integration. Orthogonal polynomials in approximation theory. Numerical solution of ordinary differential equations.
Pre-requistites: MATH 3310 or MATH 7310-7320.
credit hours: 3