Applied Numerical Methods for Engineering & Science Students

Applied Numerical Methods for Engineering & Science Students free download

Engineering, Science, Finance, Economics, Fortran, Python, Octave

Motivation:

Many, if not most, mathematical formulations resulting from the application of physical laws in science and engineering are not amenable to analytic solutions.  This leads to a numerical approach which generally involves the formulation of problems so that they may be solved using what is typically a large number of arithmetic operations, ideally suited for programming on a computer.  Numerical methods are also widely employed in fields of finance and economics.

This Course:

This is a first course in applied numerical methods for engineering and science university students, or those interested in a refresher course in numerical methods.  It may also be of interest to students with interests in the fields of finance and economics.  Course content is aimed toward students at the sophomore or junior level who have a basic knowledge of calculus and computer programming.  Topics covered include errors and Taylor series expansions, root finding, solution of systems of linear and nonlinear equations, numerical differentiation and integration, and curve fitting.  The subject of numerical solutions to ordinary and partial differential equations is covered in a separate course as is the subject of optimization.  To receive the most benefit from this course, students should have completed a basic calculus class and have access to a computer with a programming language installed.  Codes are available for download in both Fortran and Python languages, while Octave is used for graphics.  All PowerPoint slides used in the lectures are also available for download.