University of Toronto
Department of Electrical & Computer Engineering

ECE 302, Spring 1999

Probability and Applications

First lecture: January 4, 13:00-14:00, GB119
Course URL: http://www.comm.toronto.edu/~dimitris/ece302/ .
Main References:
  1. Class notes
  2. A. Leon-Garcia, Probability and Random Processes for Electrical Engineering, 2nd Edition, Addison-Wesley, 1994, Chs. 1-5.

Lectures:
Mondays, 13:00-14:00, GB119
Wednesdays, 13:00-14:00, GB119
Fridays, 13:00-14:00, GB248
A summary of topics covered in lectures is available.

Tutorials:
Wednesdays 10:00 a.m. - 12:00 noon. A tutorial schedule and information on problems assigned is available. A list of selected problems is available in postcript format here.

Composition of Final Mark:
Final Exam         50%
Midterm Test*      30%
Bi-weekly Quizzes  20%
* The midterm test will take place on Monday, February 22, 1999, 6:00 - 8:00 p.m. in SF1013.

Office Hours:
Dimitrios Hatzinakos (GB447): Mondays and Wednesdays, 3:00-4:00 p.m.


Notices about this course are kept separately. Homework is assigned every week and students are expected to be prepared to discuss the homework problems during the weekly tutorials. A short quiz will take place in the last 25 minutes of designated tutorial sessions . In all exams (quizzes, midterm, and final) a single two-sided aid sheet and non-programmable calculators are the only aids allowed.

Topics Covered Will Include:

Probability Models:
relative frequency; statistical regularity; probability; electrical engineering examples.
Concepts of Probability Theory:
sample spaces; axioms of probability; conditional probability; Bayes' Rule; statistical independence.
Random Variables:
distribution functions; density functions; functions of a random variable; expected value; Chebyshev's Inequality; characteristic functions, computer generation of pseudorandom variates.
Multiple Random Variables:
joint distribution and density functions; independence; conditional expectation; functions of several random variables; expected value.
Long Term Averages:
sums of random variables; laws of large numbers; Central Limit Theorem.

Tutorial Schedule | Course Notices - problems assigned | Lecture material
Dimitris Hatzinakos, December 28, 1998 dimitris@comm.toronto.edu