SECTION 03 of MATH 477, SPRING 2002

HOMEPAGE FOR SECTION 03 OF MATH 477, SPRING 2002

Announcements

General Information

Syllabus

Quizzes & Exams

Textbook Homework

Disclaimer: All information on this page is unofficial and subject to change or confirmation by announcement in class.

Note: To apply for special permission to enter a Mathematics section, click on "Special Permission" at the Math Department Webpage.

The general Math 477 Course Webpage contains some previous course materials, links to other sections of this course, and links to relevant web sites

Announcements (Section 03)

Review session for the final exam will take place on Wednesday, May 8, from 11 to 2 p.m. in Hill 124. The final exam is scheduled to take place on Sunday, May 12, from 1:00-4:00 p.m., in our regular classroom, Hickman 130.

The second exam will take place as planned, on April 10 in class. It will cover the syllabus from chapter 4 through section 6.2 or 6.3 (depending on what happens in class on April 3). A review session will be held on Tuesday April 9, 6th and 7th periods (roughly 4:30--7:30 p.m.) in Hill Center 423. There will also be extra office hours after class on Monday April 8. Some review problems for the second exam (with thanks to Professor Speer), and some answers

Assignment 6 due 3/27 (marked assignment 4 on the handout by mistake) may be handed in any time until noon 3/29, in the envelope on my office door.

Error in class 2/13: The probability of rolling 3 fours before 5 sevens is just 0.43. The error was not in the setup but in the final arithmetic; I should have used a calculator. It was not a "sucker bet" as announced; the odds are about 4 to 3 against. However, the probability of rolling 3 fours before 6 sevens is 0.53.

The first exam will take place in class on Wednesday, Feb. 20 and will cover the material in the syllabus through chapter 3. A review session will be held Tuesday, Feb. 19, spanning 6th and 7th periods in Hill 423.
The class will continue to be held in Hickman 130 for the rest of the semester.
Solutions for recent assignments may be viewed on Prof. Lyons' office door: Hill 236.

Textbook Homework (Section 03)

Hand in exercises marked here with *
P: Problems TE: Theoretical Exercises

due 1/30	Chapter 1, P: 1,2,7,9,12,15,18,20,24,26,27,28* Chapter 1, TE: 2,8,13,14ab* (hand in both parts)
due 2/6	Chapter 1, P: 31 Chapter 2, P: 5,8,12,15d,16d,18,20,25,28,33,36,37,39,41,46,50,52,55*
due 2/18	Chapter 2, P: 46 Chapter 3,P: 1,7,11,19,20,21,22,32,33,34,37,41,51, 58,62,69,70,74,79A Chapter 3 TE: 5,7a
due 3/4	Chapter 4, P: 2, 4, 17, 18, 19, 20, 26, 28, 30, 33, 35a, 40, 43* Chapter 4, TE: 5*, 6, 10 Chapter 4, STP: 1, 3, 10
due 3/11	Chapter 4, P: 35b, 21, 37, 38, 51, 53, 55, 58, 63, 65, 68, 74 Chapter 4, TE: 17b, 25, 26 (probabilistic interpretation)
due 3/27	Chapter 5, P: 1, 2, 4, 7, 11, 14, 15, 20, 22, 23, 27, 31, 32*, 37, 39
due 4/8	Chapter 5, P: 25, 29, 33, 40* Chapter 5, TE: 14, 21, 26, 30 Chapter 6, P: 9, 14, 18, 21, 22, 26, 27, 33*
due 4/22	Chapter 6 P: 45, 49* Chapter 6 TE: 8, 10, 14 Chapter 7 P: 3, 9, 12, 14, 18, 21, 25, 30, 31
due 5/6	Chapter 7 P: 26, 34, 36, 40, 45, 48, 50 Chapter 7 TE: 13 Chapter 8 P: 1, 2, 3, 4, 5, 6, 7, 13, 14 Chapter 8 TE: 2, 6b, 14

General Course Information (Section 03)

Lecturer: Richard Lyons, email: lyons@math.rutgers.edu, telephone 445--5090 or 445--2390
Office Hours: Monday 5th period in Hickman 131, or by appointment in Hill 236
Text: Sheldon Ross, A FIRST COURSE IN PROBABILITY, 6th edition, ISBN # 0-13-033851-6, Prentice-Hall.
Exams, Homework, and Grades: There will be two midterm exams and a final exam, textbook homework, and short unannounced quizzes, given in class and based on the assigned homework problems. These will combine as follows to determine your course grade:

Midterm Exam #1 21%

Midterm Exam #2 21%

Homework and Quizzes 16%

Final Exam 42%

Total 100%

Syllabus for 640:477, SECTION 03

Please note: This syllabus, and the midterm exam dates, are approximate; our mileage will vary. See the disclaimer at the top of the page.

A PDF version of the syllabus is available for print-out.

#	Date	Reading	Topics
1	1/23	1.1--1.5	Counting
2	1/28	1.6, 2.1--2.3	More Counting; Axioms of Probability
3	1/30	2.4--2.5	Inclusion/Exclusion; Equally Likely \Outcomes
4	2/4	2.5	Examples; Stirling's Formula
5	2/6	3.1--3.3	Conditional Probability; Bayes's Formula
6	2/11	3.4	Independent Events
7	2/13	3.5	Repeated Independent Trials
8	2/18	4.1--4.3, 4.9	Random Variables, Distribution Functions and C.D.F.'s
9	2/20	EXAM 1 --- Sections 1.1--3.5
10	2/25	4.4--4.6	Expectation and Variance of Discrete RV
11	2/27	4.7--4.8	Special Discrete RV's---Bern., Bin., Geom. Distributions
12	3/4	4.8	More Special RV's---Poisson, Neg. Bin., Hypergeom. d.f.'s
13	3/6	5.1, 5.2	Continuous RV's; Expectation and Variance
14	3/11	5.3--5.5	Special Cts RV's---Uniform, Expon., Normal d.f.'s
15	3/13	5.4	Normal Approximation to Binomial RV's
16	3/25	5.6, 5.7	Gamma RV's; Functions of a RV
17	3/27	6.1	Several RV's; Joint Distributions
18	4/1	6.2	Independent RV's
19	4/3	6.3	Sums of Independent RV's
20	4/8	7.1, 7.2	Linearity of Expectation
21	4/10	EXAM 2 --- Sections 4.1--6.3
22	4/15	7.3	Covariance and Correlation
23	4/17	6.4, 6.5	Conditional Distributions
24	4/22	7.4	Conditional Expectation
25	4/24	7.6	Moment Generating Functions
26	4/29	8.1, 8.2	Markov and Chebyshev Inequalities; Weak Law of Large Numbers
27	5/1	8.3	Central Limit Theorem
28	5/6	Catch up and review
FINAL EXAM (entire course): Time and place to be announced

QUIZZES AND EXAMS

Midterm 2/20 Midterm 4/10

Midterm Exam #1	21%
Midterm Exam #2	21%
Homework and Quizzes	16%
Final Exam	42%

Total	100%