|
TOPIC |
TEXT BY ROSS |
ASSIGNMENTS |
STUDY GUIDE |
|
Introduction
& Sample Space and Events |
§
1.1-1.2 |
Chapter
1 (pages
15-21) 1, 3,
4, 8, 17, 19, 23, 26, 30, 31, 36, 37, 39, 42, 44, 46 |
§
I.1-I.2 § I.3 |
|
Probabilities |
§ 1.3 |
§
I.4-I.5 |
|
|
Conditional
Probabilities |
§ 1.4 |
§ I.5 |
|
|
Independent
Events |
§ 1.5 |
§ I.5 |
|
|
Bayes'
Formula |
§ 1.6 |
§ I.5 |
|
|
Random
Variables |
§ 2.1 |
Chapter
2 Part I (pages
85-90) 1, 2,
3, 6, 7, 8, 10, 12, 13, 14, 20, 21, 27, 31, 33, 34, 35, 38 |
§ II.2-II.3 |
|
Discrete
Random Variables |
§ 2.2 |
§ II.1
Discrete Mathematics, Binomial
Theorem, Geometric
Series, Maclaurin
Series |
|
|
Continuous
Random Variables |
§ 2.3 |
§ II.1
The Derivative of a Function, Derivatives of the Composite Functions, The
Definite Integral, Antidifferentiation, Evaluation of the Integrals, Methods
of Integration, Some Special Functions |
|
|
Expectation
of a Random Variable |
§ 2.4 |
Chapter
2 Part
II (pages
90-92) 39,
40, 43, 46, 47, 48, 50, 51 |
§ II.1
Evaluation of the Definite Integrals by Using Antiderivatives, Methods of
Integration |
|
Jointly
Distributed Random Variables |
§ 2.5 |
Chapter
2 Part
III (pages
92-96) 54,
55, 58, 60, 63, 68, 77 |
§ II.1
Some Results Involving Multivariate Calculus |
|
Moment
Generating Functions |
§ 2.6 |
§ II.1
Methods of Integration, Some Results Involving Limits |
|
|
Limit
Theorems |
§ 2.7 |
§ II.1
Some Results Involving Limits |
|
|
Conditional
Probability & Conditional
Expectation |
Chapter
3 |
Chapter
3 (pages
165-173) 3, 4,
5, 7, 11, 13, 15, 35, 37, 46 |
§ II.1 |
|
Markov
Chains |
Chapter
4 |
Chapter
4 (pages
263-268) 2, 3,
6, 7, 8, 10, 14, 20, 22, 29 |
§ I.6
& II.1 |
|
The
Exponential Distribution & the Poisson Process |
Chapter
5 |
TBA |
§ II.1 |