MATH 4426 Probability
 Spring 2018

Dan Chambers   543 Maloney Hall

chambers@bc.edu    2-3769 (email is more reliable)


My Office Hours: Mondays 3-4, Wednesdays 2-3, Fridays 11-12, or by appointment.


Probability theory has a rich history, interesting mathematics, and many applications. In this class we will explore all of these. Topics include sample spaces; events;  conditional probability; independence; combinatorial probability; random variables; probability density functions; cumulative distribution functions; joint, marginal, and conditional pdf's; expected values; variances; higher moments; moment generating functions; order statistics; discrete distributions (including binomial, hypergeometric, Poisson, geometric, negative binomial);  continuous distributions (including normal, exponential, gamma); and the central limit theorem.

Here is a link to the syllabus.

This is a work in progress; check back for updates.



Date
topic/section
HW assigned
HW due/solutions
January



17
2.2 sample spaces, algebra of sets calculus review
 
solutions
19
2.2/2.3 distributive laws, DeMorgan's laws, definitions of probability, equal-likelihood experiments
HW1

22
2.3 Kolmogorov's axioms, properties of a probability function

24
2.4 conditional probability


26
2.4 ct'd HW2
HW1
29
2.5 independence

31
2.5 more independence


February



2
2.6 combinatorics- permutations

HW2
5
2.6 combinatorics- combinations
HW3

7
2.6 concluded


9
2.7 combinatorial probability


12
2.7 the hat problem

HW3
14
3.2 binomial distribution
HW4

16
3.2 hypergeometric distribution


19
3.3 discrete random variables


21
3.4 continuous random variables

HW4
23
midterm 1


26



28



March



2



5
spring break


7
spring break


9
spring break


6



9



12



14



16



19



21



23



26



28



30
Easter break


April



2
Easter break


4



6



9



11



13



16
Patriot's Day

18
midterm 2


20



23



25



27



30



May



2