Dates

Sections to be discussed

T May 13

1.1-1.2 Basic concepts: probability, sample, event, frequency distribution, relative frequency histogram, set theoretic operations, basic proofs.

Th May 15

1.3-1.4 Probability: basic counting concepts, multiplication rule, permutations and combinations, conditional probability (no quiz)

T May 20

1.5 Independent events, mutually independent events, Baye's Theorem.

Th May 22

2.1-2.2 Random variable, probability mass function, expectation. (HW/Quiz 1)

T May 27

2.2-2.3 Expectation, mean, variance.

Th May 29

Review & Exam 1 & HW 1b

T June 3

2.4-2.5 Bernoulli trials, binomial distribution, geometric and negative binomial distribution, moment generating function.

Th June 5

2.6 Poisson distribution, approximate Poisson process (HW/Quiz 2)

T June 10

3.3-3.4: Continuous random variable, probability density function (p.d.f), probabilities of continuous random variables, uniform and exponential distribution.

Th June 12

3.5: Exponential and gamma distribution. (HW/Quiz 3)

T June 17 11

3.6: Normal distribution.

Th June 19

Review & Exam 2 & HW 3b 4.1: Joint p.m.f./p.d.f, two or more random variables.

T June 24

4.1 & 4.2: Joint p.m.f./p.d.f., marginal p.m.f./p.d.f., examples, and covariance/correlation coefficient.

Th June 26

4.3: Conditional distributions (HW/Quiz 4)

T July 1

5.1 & 5.2: Functions of a random variable, transformations of two random variables; change of variables formulae.

Th July 3

5.3 - 5.6: Introduction to the Central Limit Theorem (HW/Quiz 5)

T July 8

5.6: The Central Limit Theorem, examples and idea of proof.

Th July 10

Group Quiz #6 on Convolution

T July 15

6.1: Estimators, biased estimators.

Th July 17

Review & Exam 3

July 22 & 24

The week before finals (review for final exam & HW 7)

July 31 @ 2:50 PM

Final Exam: In the usual classroom Skiles 249