ECE 313 Powerpoint Slides

Fall 2009

- Lecture #00:
What is this course all about? An introduction to ECE 313
for off-campus students
- Lecture #01:
Introduction to ECE 313
- Lecture #02:
The Probability Model
- Lecture #03:
The Axioms of Probability, Part I
- Lecture #04:
The Axioms of Probability, Part II
- Lecture #05:
The Axioms of Probability, Part III
- Lecture #06:
Random Variables
- Lecture #07:
Mean, LOTUS, and Variance
- Lecture #08:
Independent Trials
- Lecture #09:
Statistical Estimation
- Lecture #10:
Confidence Intervals
- Lecture #11:
Important Counting Random Variables
- Lecture #12:
Conditional Probability
- Lecture #13:
The Theorem of Total Probability
- Lecture #14:
Bayes' Formula
- Lecture #15:
Decision-making under uncertainty I
- Lecture #16:
Decision-making under uncertainty II
- Lecture #17:
Decision-making under uncertainty III
- Lecture #18:
Independent Events
- Lecture #19:
System Reliability I
- Lecture #20:
System Reliability II
- Lecture #21:
The Cumulative Distribution Function
- Lecture #22:
Continuous Random Variables I
- Lecture #23:
Continuous Random Variables II
- Lecture #24:
Continuous Random Variables III
- Lecture #25:
Poisson Random Processes
- Lecture #26:
Gaussian Random Variables
and two associated pictures of parts of a
German
bank note
- Lecture #27:
Functions of Random Variables
- Lecture #28:
Hazard Rates and System Reliability
- Lecture #29:
Decision-making under uncertainty IV
- Lecture #30:
Joint Distributions of Random Variables
- Lecture #31:
Joint Probability Mass Functions
- Lecture #32:
Jointly Continuous Random Variables I
- Lecture #33:
Jointly Continuous Random Variables II
- Lecture #34:
Jointly Continuous Random Variables III
- Lecture #35:
Functions of Many Random Variables I
- Lecture #36:
Functions of Many Random Variables II
- Lecture #37:
Functions of Many Random Variables III
- Lecture #38:
Expectation, Covariance, and Correlation
- Lecture #39:
Jointly Gaussian Random Variables
- Lecture #40:
Mean-Square Estimation
- Lecture #41:
Limit Theorems

Prof. Hutchinson's slides

- Lecture #29:
Conditional Distributions
- Lecture #30:
Jointly Distributed Random Variables
- Lecture #31:
Jointly Continuous Random Variables
- Lecture #32:
Functions of Multiple Random Variables
- Lecture #33:
Independent Random Variables
- Lecture #34:
Functions of Independent Random Variables
- Lecture #35:
Multiple Functions of Multiple Random Variables
- Lecture #36:
Expectation
- Lecture #37:
Jointly Gaussian Random Variables
- Lecture #38:
Conditional Distributions
- Lecture #39:
Conditional Expectation
- Lecture #40:
Limit Theorems I
- Lecture #41:
Limit Theorems II