The financial industry increasingly relies on large volumes of numerical data as financial products become more complex. As a result, analysts and financial engineers have turned to computational ...

Learn mathematical and statistical principles for financial decisions and investments. Prepare for careers in finance, accounting and many other areas. The business world is increasingly dominated by ...

Covers asymptotic evaluation of integrals (stationary phase and steepest descent), perturbation methods (regular and singular methods, and inner and outer expansions), multiple scale methods, and ...

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...

AWAY to solve linear differential equations by operational methods which avoid the introduction of arbitrary constants by taking direct account of the initial conditions was invented by Oliver ...

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

Mathematics of Computation, Vol. 79, No. 272 (OCTOBER 2010), pp. 2001-2032 (32 pages) We derive in this paper a unified framework for a priori and a posteriori error ...

An introductory course designed to increase the confidence of students in handling mathematical concepts and skills. Content includes algebraic skills, functions and graphs, and an introduction to ...

In this paper we investigate local convergence properties of inexact Newton and Newton-like methods for systems of nonlinear equations. Processes with modified relative residual control are considered ...