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SE3030 Quantitative Methods in Systems Engineering

This course discusses advanced mathematical and computational techniques that find common application in systems engineering. It also provides an introduction to MATLAB, a computational tool useful in obtaining quantitative answers to engineering problems. Among the topics addressed in this course are vector analysis, complex analysis, integral transforms, special functions, numerical solution of differential equations, and numerical analysis.

Prerequisite

SE1002, SE3100

Lecture Hours

3

Lab Hours

2

Statement Of Course Objectives

 

Course Learning Outcomes

Upon successful completion of this course, students will be able to:

  • Apply knowledge of ordinary differential equations including operating with Laplace transforms, series solutions, special functions along with the special case of decay functions. 
  • Demonstrate understanding of linear algebra and vector calculus as well as the associated matrix algebra, multiple integrals, vector analysis and curvilinear coordinates
  • Use the tools of partial differential equations and Fourier analysis, Fourier series & transforms, including application to the cases of wave & diffusion equations. 
  • Employ complex analysis & potential theory using infinite & power series, complex numbers, functions of a complex variable, contour integration and optimization. 
  • Recognize engineering applications of the various numerical methods including use of interpolation, equation solving, numerical integration, finite difference techniques and curve fitting. 
  • Demonstrate understanding of probability & statistics including probability distributions, regression techniques as well as queuing theory.
  • Employ calculus of variations, perturbation theory, tensor analysis, groups & group representations, Boolean algebra & logic as well as eigenvalue problems & Green’s functions. 
  • Use MATLAB proficiently for scientific and engineering applications including writing script and function files, 2-D and 3-D plotting, programming (flow control), and producing meaningful and readable solutions (reports).