Course Abstract Details

ENEE-241, Numerical Techniques

Credits: 3

Course Description

ENEE-241, Numerical Techniques, is an introduction to computational and mathematical techniques for solving problems in engineering applications. Students will study error analysis, problem conditioning, and stability of algorithms. Topics include numerical solution of nonlinear equations; matrix algebra; Gaussian elimination; matrix inversion; iterative computation of eigenvalues; splines; and numerical integration. Vector spaces and linear transformations; LU factorization; similarity transformation and diagonalization; interpolation and data fitting are also studied. Signals are studied in the frequency domain utilizing Fourier and LaPlace Transforms. Prerequisites: CIS-132 and MATH-136, both completed with a minimum "C" grade. Three hours lecture, one hour lab each week. Three credits. Three billable hours.

Course Objectives and Grading Information

MAJOR COURSE OBJECTIVES: Upon completion of this course, the student will be able to:

1. Describe different aspects of numerical computation and identify some of its limitations. (PG-1) (GE-3)

2. Apply basic tools from linear algebra that are useful in modeling real-world signals and systems. (PG-1) (GE-2,3)

3. Formulate and solve matrix equations and be familiar with eigenvalues and their applications. (PG-1) (GE-2,3)

4. Apply key concepts in the frequency analysis of signals in discrete time. (PG-1) (GE-2,3)

5. Explain and apply basic concepts of signals and linear systems and LaPlace Transforms. (PG-1) (GE-2,3)

6. Explain the FFT and the differences between Discrete and Fast Fourier Transforms, Fourier Series, and LaPlace Transforms. (PG-1) (GE-2,3)

7. Use a powerful computational package such as MATLAB or Octave, to solve engineering problems. (PG-1) (GE-2,3)

Chapra, S.C. Applied Numerical Methods with MATLAB for Engineers and Scientists, 2nd edition. Mc-Graw Hill, 2008. [ISBN-13: 978-0-07-313290-7]

McMahon, D. Signals & Systems Demystified, 1st edition. McGraw-Hill, 2007. [ISBN-13: 978-0-07-147578-5]

Learning Goals

The abbreviations in parentheses represent Learning Goals which have been identified for this course and program of study:

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