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# ECE EEL 4021 - Statistical Topics in Electrical Engineering

Curriculum Designation: Required for electrical engineering and computer engineering majors.

Course (Catalog) Description: Use of probability and statistical concepts in electrical engineering applications. Elementary probability - sets, sample spaces, axioms, joint and conditional probability. Random variables - distribution and density functions. Operations in random variables - expectation, moments, transformation of random variables. Multiple random variables. Introduction to random processes. Elements of statistics: parameter estimation and hypothesis testing.

Prerequisites: MAP 3306 or MAS 3105, and EEL 3112

Course Objectives:

1. Apply elementary set theory and counting techniques to solve basic combinatorial problems.
2. Solve problems involving basic and conditional probability.
3. Apply common probability models to solve engineering problems.
4. Calculate the moments and central moments of a random variable.
5. Analyze functions of random variable.
6. Analyze multiple random variables.
7. Perform linear regression analysis on a set of data.
8. Apply probability theory to estimation theory and engineering decisions.
9. Analyze elements of random processes.

Topics Covered:

1. Elementary probability - sets, sample spaces, axioms, joint and conditional probability, Bayes' Theorem
2. Random variables - concepts, distribution and density functions
3. Operations on random variables - expectation, moments, transformation of random variables
4. Multiple random variables
5. Estimation theory
6. Engineering decisions
7. Introduction to random processes

Class Schedule: Three 50 minute or two 75 minute lectures per week (3 credit hours).

Contribution to Professional Component: Math 30% / Engineering 70%: 3 credit hours

Science/Design (%): 70% / 30%

Relationship to ABET Student Outcomes: L and M

Prepared by: Bruce A. Harvey

Revised: September 23, 2016