Carnegie Mellon University

Electrical and Computer Engineering

College of Engineering

Course Information

18-202: Mathematical Foundations of Electrical Engineering

Units:

12

Description:

This course covers topics from engineering mathematics that serve as foundations for descriptions of electrical engineering devices and systems. It is the corequisite mathematics course for 18-220, Fundamentals of Electrical Engineering. The topics include:
1.MATLAB as a robust computational tool, used to reinforce, enrich and integrate ideas throughout the course, including software exercises and projects in combination with homework assignments;
2.Complex Analysis, including rectangular and polar representations in the complex plane with associated forms of complex arithmetic, powers, roots and complex logarithms, complex differentiation, analytic functions and Cauchy-Riemann equations, complex Taylor series, complex exponential, sinusoidal and hyperbolic functions, and Euler's formula;
3.Fourier Analysis, including orthogonality of sinusoids, trigonometric and exponential forms of Fourier series, Fourier integrals and Fourier transforms;
4.Linear, Constant-Coefficient Differential Equations, including complex exponential solutions to homogeneous equations and particular solutions with polynomial and sinusoidal driving functions described by phasors;
5.Difference Equations, with emphasis upon their relationship to differential equations, and;
6.Linear Algebra and Matrices, including matrix arithmetic, linear systems of equations and Gaussian elimination, vector spaces and rank of matrices, matrix inverses and determinants, eigenvalue problems and their relationship to systems of homogeneous differential equations.

4 hrs. lec., 1 hr. rec.

Prerequisites: 21122 with C or better

Last Modified: 2018-04-25 4:37PM

Semesters offered:

  • Fall 2018
  • Spring 2018
  • Fall 2017
  • Spring 2017
  • Fall 2016
  • Spring 2016
  • Fall 2015
  • Spring 2015
  • Fall 2014
  • Spring 2014
  • Fall 2013
  • Spring 2013
  • Fall 2012
  • Spring 2012
  • Fall 2011
  • Spring 2011
  • Fall 2010
  • Spring 2010
  • Fall 2009
  • Spring 2009
  • Fall 2008
  • Spring 2008
  • Fall 2007
  • Spring 2007
  • Fall 2006
  • Spring 2006
  • Fall 2005
  • Spring 2005
  • Fall 2004