18-202 Mathematical Foundations of Electrical Engineering

Units: 12.0 Department: Electrical & Comp. Eng. Prerequisites: 21-122 or 21-118 or 21-123 Related URLs: http://www.ece.cmu.edu/ 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., 1hr. rec.

Popularity index Rank for this semester: #29 Rank in this department: #2   Students also scheduled 18-220 Fundamentals of Electrical Engineer... 15-211 Fundamental Data Structures and Alg... 18-200 Emerging Trends in Electrical and C... 33-107 Physics II for Engineering Students 15-113 Systems Skills in C 21-127 Concepts of Mathematics 18-240 Fundamentals of Computer Engineerin... 15-200 Advanced Programming/Practicum 18-100 Introduction to Electrical and Comp... 15-213 Introduction to Computer Systems

Spring 2005 times

Sec	Time	Day	Instructor	Location
1	10:30 am - 12:20 pm	M	Neuman	SH 125
		W	Neuman	SH 125
A	12:30 - 1:20 pm	F	Instructor TBA	PH 225B
B	10:30 - 11:20 am	F	Instructor TBA	TBD TBD
C	11:30 am - 12:20 pm	F	Instructor TBA	PH 225B