Math 464 Sylabus - Fall '17

We will cover most of chapters 1 to 8 in the textbook. The following is an estimate of when we will cover the topics. It will change some as the course unfolds.

The dates for the final and the first exam are now fixed.

Aug 21 - 25, classes 1-3
1 1.1 Experiments with chance
1.2 Sample space, events
1.3 Probabilities
1.4 Probability spaces
1.5 conditional probability (in book this is 1.6)

Aug 28-Sep 1, classes 4-6
1.5 conditional probability (cont)
1.6 Discrete probability measures (in book this is 1.5)
1.7 Independence
1.8 Partition theorem
1.9 Continuity of the probability measure
2.1 Probability mass functions
2.2 Discrete RV catalog

Mon, Sept 4 - last day to drop without a W

Mon, Sept 4 - Holiday

Sept 6-8 classes 7-8
2.3 Functions of discrete RV's
2.4 Expected value
2.5 Conditional expectation and the partition theorem

Sept 11-15, classes 9-11
2.5 Conditional expectation and the partition theorem (cont)
A Combinatorics
A.1 First principles
A.2 Permutations
A.3 Combinations

Sept 18-22, classes 12-14
3.1 Joint discrete distributions
3.2 Expectation in joint case
3.3 Independence of discrete RV's

Sept 25- Sept 29, classes 15-17
4.1 Generating functions
4.2 Sums of independent RV's

Oct 2, class 18
Review

Wednesday, Oct 4, class 19
FIRST EXAM

Oct 6, class 20

Oct 9-13, classes 21-23
5.1 Continuous RV's and densities
5.2 Expected value
5.3 Catalog of continuous RV's
5.4 Cumulative distribution function
5.5 Functions of a RV
5.7 Histograms and meaning of pdf

Oct 16-20, classes 24-26
Multivariate calculus review
6.1 Joint density functions
6.2 Independent and marginal distributions
6.3 Expected value

Oct 23-27, classes 27-29
6.4 Function of two random variable
6.5 Moment generating functions
6.6 Joint cdf's and more independence

Sunday, Oct 29 - Last day to withdraw online through UAccess.

Oct 30- Nov 3 classes 30-32
8.1, 8.2 Weak law of large numbers
8.3 Central Limit theorem

Nov 6 - Nov 8 classes 33-34
8.3 Central Limit theorem - cont
6.7 Change of variables

Friday, Nov 10 - Holiday

Nov 13 - Nov 15 classes 35-36
Variance and the correlation coeffecient (7.3 in book)
Review

Friday, Nov 17 class 37
SECOND EXAM

Nov 20 - Nov 22 classes 38-39
8.5 Proof of Central Limit theorem

Friday, 24- Holiday

Nov 27 - Dec 1, classes 40-42
6.8 Conditional density functions and expectations
5.6 More on Expected value of a continuous RV
8.4 Strong law of large numbers
Review

Dec 4-6, classes 43-44
Review

Monday, Dec 11, 1:00-3:00
FINAL EXAM