ENGR 2450 is an introduction to numerical methods of problem solving, including root finding, solutions of linear and nonlinear equations, eigen value problems, curve fitting and regression analysis, numerical differentiation and integration, numerical solution of ordinary differential equations, optimization, and numerical solution of partial-differential equations. Computer implementation of these methods using spreadsheets, various programming languages such as C++ or Python will be used.
This course is designed as a component of the standard pre-professional curriculum in engineering, which enables the student to transfer with junior level status into a four-year engineering program. ENGR 2450 is to be taken during the sophomore year of the pre-engineering curriculum and will prepare the student for subsequent course work. Similar courses are offered in university engineering schools. This course is most similar to CH EN 2450 and ME EN 2450 at the University of Utah and MAE 2450 at Utah State University.
This course will include:• principles from linear algebra, including Gaussian elimination, LU decomposition, and iterative methods• finding roots of nonlinear equations using various methods• using eigenvalues and eigenvectors to find solutions to systems of linear equations• curve fitting, including numerical interpolation and extrapolation• numerical differentiation and integration• numerical solutions of differential equations using Euler's method and Runga-Kutta methods• optimization by finding minima and maxima of a function• numerical solutions of partial-differential equations, both Laplace's equation and Poisson's equation.• the C++ or Python language with computational software will be used to implement the above numerical methods.In addition to teaching numerical methods principles and solution methods, ENGR 2450 highlights the wide variety of application paths that can leverage these skills in concert with various personal interests, careers, and aptitudes.
