Math 464 Sylabus - Fall '14
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.
Tuesday, Aug 26 - class 1, Thursday, Aug 28- class 2
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)
Tuesday, Sep 2 - class 3, Thursday, Sept 4- class 4
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
Monday, Sept 8 - last day to drop without a W
Tuesday, Sept 9 - class 5, Thursday, Sept 11- class 6
2.3 Functions of discrete RV's
2.4 Expected value
2.5 Conditional expectation and the partition theorem
Tuesday, Sept 16 - class 7, Thursday, Sept 18- class 8
2.5 Conditional expectation and the partition theorem (cont)
A Combinatorics
A.1 First principles
A.2 Permutations
A.3 Combinations
Tuesday, Sept 23 - class 9, Thursday, Sept 25- class 10
3.1 Joint discrete distributions
3.2 Expectation in joint case
3.3 Independence of discrete RV's
Tuesday, Sept 30 - class 11, Thursday, Oct 2 - class 12
4.1 Generating functions
4.2 Sums of independent RV's
Tuesday, Oct 7- class 14
Review
Thursday, Oct 9- class 14
FIRST EXAM
Tuesday, Oct 14- class 15, Thursday, Oct 16- class 16
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
Tuesday, Oct 21- class 17, Thursday, Oct 23 - class 18
5.6 More on Expected value of a continuous RV
5.7 Histograms and meaning of pdf
Multivariate calculus review
6.1 Joint density functions
6.2 Independent and marginal distributions
6.3 Expected value
Tuesday, Oct 28- class 19, Thursday, Oct 30- class 20
6.4 Function of two random variable
6.5 Moment generating functions
6.6 Joint cdf's and more independence
Sunday, Nov 2 - Last day to withdraw online through UAccess.
Tuesday, Nov 4 - class 21, Thursday, Nov 6 - class 22
6.7 Change of variables
Variance and the correlation coeffecient (7.3 in book)
Tuesday, Nov 11 - Holiday
Thursday, Nov 13 - class 23
6.8 Conditional density functions and expectations
Tuesday, Nov 18 - class 24
Review
Thursday, Nov 20- class 25
SECOND EXAM
Tuesday, Nov 25 - class 26
8.1, 8.2 Weak law of large numbers
Thursday, Nov 27- Thanksgiving - no class
Tuesday, Dec 2 - class 27, Thursday, Dec 4- class 28
8.3 Central Limit theorem
Review
Tuesday, Dec 9 - class 29
Review
Wednesday, Dec 17, 3:30-5:30
FINAL EXAM