Midterm Exam #1 |
100 pts |
Midterm Exam #2 |
100 pts |
Homework and Quizzes |
100 pts |
Final Exam |
200 pts |
|
|
Total |
500 pts |
Lecture |
Date |
|
Topics |
1 |
9/5 |
1.1--1.5 |
Counting |
2 |
9/8 |
1.6, 2.1--2.3 |
More Counting; Axioms of
Probability |
3 |
9/12 |
2.4--2.5 |
Inclusion/Exclusion;
Equally Likely Outcomes |
4 |
9/15 |
2.5 |
Examples; |
5 |
9/19 |
3.1--3.3 |
Conditional Probability; Bayes' Formula |
6 |
9/22 |
3.4 |
Independent Events |
7 |
9/26 |
3.5 |
Repeated Independent
Trials |
8 |
9/29 |
4.1--4.3, 4.9 |
Random Variables,
Distribution Functions and C.D.F.'s |
9 |
10/3 |
4.4--4.6 |
Expectation and Variance
of Discrete RV |
10 |
10/6 |
4.7--4.8 |
Special Discrete
RV's---Bern., Bin., Geom. Distributions |
11 |
10/10 |
4.8 |
More Special
RV's---Poisson, Neg. Bin., Hypergeom. d.f.'s |
12 |
10/13 |
5.1, 5.2 |
Continuous RV's;
Expectation and Variance |
13 |
10/17 |
EXAM 1 --- Sections 1.1--4.9 | |
14 |
10/20 |
5.3--5.5 |
Special Cts RV's---Uniform, Expon.,
|
15 |
10/24 |
5.4 |
Normal Approximation to
Binomial RV's |
16 |
10/27 |
5.6, 5.7 |
Gamma RV's; Functions of
a RV |
17 |
10/31 |
6.1 |
Several RV's; Joint
Distributions |
18 |
11/3 |
6.2 |
Independent RV's |
19 |
11/7 |
6.3 |
Sums of Independent RV's |
20 |
11/10 |
7.1, 7.2 |
Linearity of Expectation |
21 |
11/14 |
7.3 |
Higher moments |
22 |
11/17 |
6.4, 6.5 |
Conditional Distributions |
23 |
11/22 |
7.4 |
Covariance and Correlation |
--- THANKSGIVING BREAK --- |
|||
24 |
11/28 |
EXAM 2 --- Sections 5.1--6.5 and 7.1--7.3 | |
25 |
12/1 |
7.5 |
Conditional Expectation |
26 |
12/5 |
8.1, 8.2 |
Markov and Chebyshev Inequalities; Weak Law of Large Numbers |
27 |
12/8 |
8.3 |
Central Limit Theorem |
28 |
12/12 |
Catch up and review |
|
FINAL EXAM - Tuesday December 19th, 8-11 am (location TBA) |
Due |
Problems |
9/19 |
Chapter 1 Problems 15, 20, 28
and Theoretical Exercise 14ab |
10/3 |
Chapter 3 Problems 19, 21, 31, 45, 62 |
10/3 |
Chapter 4 Problems 4, 17, 35, 43 and Theoretical
Exercises 5 |
10/10 |
Chapter 4 Problems 58, 61, 69, 82 and Theoretical
Exercises 10, 16 |
10/31 |
Chapter 5 Problems 2, 4, 22, 31, and 32 |
11/7 |
Chapter 6
Problems 9, 16, 18, 26, and 33 |
11/14 |
Chapter 6 Problem 15, TE #14; Chapter 7 Problems 3, 9, and 12
|
11/22 |
Chapter 6 Problems 42 and 43; Chapter 7 Problem 42, 43, and
Theoretical Exercise 13.
|