Mechanical Engineering

501. Engineering Mathematics.  Matrix analysis; generalized eigenvalue  problem.  Multidimensional  Fourier series, Bessel function, and Legendre polynomials.  Three lectures.  (Cr.3) 

Prerequisite: Senior Status.

 

Course Objectives:

 

The student will be able to analyze engineering problems using a variety of analytical and numerical methods.

 

Course Syllabus:

 

Textbook:  

Advanced Engineering Mathematics, Kreyszig, 8th Ed., Wiley, 1999.

Topics:

  1. Review of Linear Algabra

  2. Generalized Eigenvalue Problems

  3. Ordinary Differential Equations

  4. Non-Cartesian Coordinate Systems

  5. Special functions: Bessel, Laplace and Legendre Polynomials

  6. Approximation of Functions and Fourier Series, Fourier transform

  7. Functions of a complex variable

 

ABET category content as estimated by faculty member who prepared this course description:

 

Engineering Science: 3 credits (100%)

 

Prepared by:  Dr. Philip J. Pritchard    Date: December 20, 2000