User HSU on maple.lemoyne.edu

MTH311-01

PROBABILITY THEORY

Fall, 2003 SYLLABUS

Instructor: Prof. Lifang Hsu RH 236, x-4371 or x-4631, E-mail: Hsu@Lemoyne.edu
Office Hours

Lecture

Course Description

Text

Grading:

Quizzes

Examinations

Final Examinations

Readings

Homework

Syllabus

Office Hours: Tu. 10:20 - 11:20, W. 10:00 - 12:00 Th. 10:00 - 11:00 and by appointment.

Lecture:
Tu. Th. 11:30 - 12:45 GH203

Course Description:
This course provides an introduction to probability theory. It includes: Algebra of sets. Probability in finite sample spaces. Binomial and multinomial coefficients. Random variables. Expected value and standard deviation. Density function. Special Distributions. Central limit theorem. Normal approximation to binomial distributions.

Text:
Probability and Statistics (Third edition)
by Morris H. DeGroot and Mark J.Schervish

Grading:
Quizzes(2) 30%
Homework 20%(hand in the problems in the parentheses)
2 Exams @ 15% each
Final Exam 20%
Scale: [90 -100] A, [87 - 90) A-, [83 - 87) B+, [80 - 83) B, [77 - 80) B-, [73 - 77) C+, [70 - 73) C,
[67 - 70) C-, [60 - 67) D, Below 60 F

Quizzes:
There will be two open-book and open-note quizzes, of length approximately 30 minutes. No makeup quizzes for whatever reason, will be allowed.

Tentative dates:
Quiz 1 – September 11, Thursday
Quiz 2 – October 21, Tuesday

Examinations:
The exams and are closed book except for the notes you can put on both sides of one sheet of paper 8.5 X 11 in. No makeup exams for whatever reason, will be allowed.

Exam dates:
Exam 1 – September 30, Tuesday
Exam 2 – November 18, Tuesday

Final Examination:
12:00 pm - 2:30 pm Wednesday, December 10, 2003

Readings:
The reading assignment is in the text and should be about 5 to 10 pages beyond the lectures. Try to keep ahead of me so that you can ask questions on the text material which confuses you.

Homework:
At each class homework will be assigned, some of them will be designated to hand in by the due date, and will be graded. Up to two late home works will be accepted without penalty if handed in by 11:30 am. in the following class. Home works handed in after this time and third (and subsequent) late homework will not be accepted. It is expected that solution sets will be available and distributed at that time. Be sure to show your work (reasoning). Answers for odd- numbered problems are given in the back of the text. You are encouraged to attempt all of them. The ONLY way to learn this material is to do problem.

Syllabus: MTH 311, Section 01

Date

Topics

Homework

8/26 Tu

Introduction and Set Theory

1.4:(6),7 Due 9/2

8/28 Th

Definition of Probability and Finite Sample Space

1.5:(4,5,6,8) 2,3,7,9 Due 9/2

9/2 Tu

Counting Methods and Combinatorial Methods

1.6:(4, 8), 1,2,5,6 Due9/9

9/4 Th

Multinomial Coefficients

1.7:(4,7,8),5,6&1.8:(6,10,16,18),7,8,9,11,15 Due 9/9

9/9 Tu

Prob. of Union Events

1.9:(4,6,8),7,9,10 & 1.10:(2,6,7,8),1,4,5,11 Due 9/16

9/11 Th

Review and Quiz 1

9/16 Tu

Conditional Probability

2.1:(4,8),6,7,9,11 Due 9/23

9/18 Th

Independent Events

2.2:(4,6,8,10,12,14, 16),2,3,5,7,11 Due 9/23

9/23 Tu

Bayes' Theorem

2.2:(1,4,6,8,10),3,7,9 Due 9/25

9/25 Th

Review

9/30 Tu

Exam 1

10/2 Th

Random Variables and Discrete Distribution

3.1:(2,4,6,8,10),5,7 Due 10/9

10/7 Tu

Continuous Distribution

3.2:(2,4,7,8,9,10,11),5 Due 10/9

10/9 Th

The Distribution Function

3.3:(2,4,6,8),3,5,7 Due 10/16

10/14 Tu

Full Break, No class

10/16 Th

Bivariate Distributions

3.4:(2,4,6),3,5,8 Due 10/21

10/21 Tu

Review and Quiz 2

10/23 Th

Marginal Distributions

3.5:(2,4,8,10),3,5,11 Due 10/30

10/28 Tu

Conditional Distribution

3.6:(2,3,4,5),1,6,7,8 Due 11/4

10/30 Th

Expectation

4.1:(4,5,6,8,9) Due 11/4

11/4 Tu

Properties of Expectations

4.2:(3,4,7,10),5,9 Due 11/11

11/6 Th

Variance

4.3:(2,4,8)3,5,7 Due 11/11

11/11 Tu

Moment

4.4:(3,4,6,8,10,12) Due 11/13

11/13 Th

Review

11/18 Tu

Exam 2

11/20 Th

Binomial Distribution

5.2:(1,4,6,8),5,7 Due 12/2

11/25 Tu

Normal Distribution

5.6:(2,6,7,9,10,11,13,14) Due 12/2

11/27 Th

Thanksgiving Break, No Class

12/2 Tu

Central Limit Theorem

5.7:(1,3,7,10),2,4

12/4 Th

Review

This syllabus should be considered as a guide only. The actual pace of the class may vary.
email me if you have any question: HSU@maple.lemoyne.edu

MTH311-01

PROBABILITY THEORY

Fall, 2003 SYLLABUS

Instructor: Prof. Lifang Hsu RH 236, x-4371 or x-4631, E-mail: Hsu@Lemoyne.edu
Office Hours

Syllabus: MTH 311, Section 01

This syllabus should be considered as a guide only. The actual pace of the class may vary.
email me if you have any question: HSU@maple.lemoyne.edu

Date	Topics	Homework
8/26 Tu	Introduction and Set Theory	1.4:(6),7 Due 9/2
8/28 Th	Definition of Probability and Finite Sample Space	1.5:(4,5,6,8) 2,3,7,9 Due 9/2
9/2 Tu	Counting Methods and Combinatorial Methods	1.6:(4, 8), 1,2,5,6 Due9/9
9/4 Th	Multinomial Coefficients	1.7:(4,7,8),5,6&1.8:(6,10,16,18),7,8,9,11,15 Due 9/9
9/9 Tu	Prob. of Union Events	1.9:(4,6,8),7,9,10 & 1.10:(2,6,7,8),1,4,5,11 Due 9/16
9/11 Th	Review and Quiz 1
9/16 Tu	Conditional Probability	2.1:(4,8),6,7,9,11 Due 9/23
9/18 Th	Independent Events	2.2:(4,6,8,10,12,14, 16),2,3,5,7,11 Due 9/23
9/23 Tu	Bayes' Theorem	2.2:(1,4,6,8,10),3,7,9 Due 9/25
9/25 Th	Review
9/30 Tu	Exam 1
10/2 Th	Random Variables and Discrete Distribution	3.1:(2,4,6,8,10),5,7 Due 10/9
10/7 Tu	Continuous Distribution	3.2:(2,4,7,8,9,10,11),5 Due 10/9
10/9 Th	The Distribution Function	3.3:(2,4,6,8),3,5,7 Due 10/16
10/14 Tu	Full Break, No class
10/16 Th	Bivariate Distributions	3.4:(2,4,6),3,5,8 Due 10/21
10/21 Tu	Review and Quiz 2
10/23 Th	Marginal Distributions	3.5:(2,4,8,10),3,5,11 Due 10/30
10/28 Tu	Conditional Distribution	3.6:(2,3,4,5),1,6,7,8 Due 11/4
10/30 Th	Expectation	4.1:(4,5,6,8,9) Due 11/4
11/4 Tu	Properties of Expectations	4.2:(3,4,7,10),5,9 Due 11/11
11/6 Th	Variance	4.3:(2,4,8)3,5,7 Due 11/11
11/11 Tu	Moment	4.4:(3,4,6,8,10,12) Due 11/13
11/13 Th	Review
11/18 Tu	Exam 2
11/20 Th	Binomial Distribution	5.2:(1,4,6,8),5,7 Due 12/2
11/25 Tu	Normal Distribution	5.6:(2,6,7,9,10,11,13,14) Due 12/2
11/27 Th	Thanksgiving Break, No Class
12/2 Tu	Central Limit Theorem	5.7:(1,3,7,10),2,4
12/4 Th	Review

MTH311-01

PROBABILITY THEORY

Fall, 2003 SYLLABUS

Instructor: Prof. Lifang Hsu RH 236, x-4371 or x-4631, E-mail: Hsu@Lemoyne.edu Office Hours

Syllabus: MTH 311, Section 01

This syllabus should be considered as a guide only. The actual pace of the class may vary. email me if you have any question: HSU@maple.lemoyne.edu

Instructor: Prof. Lifang Hsu RH 236, x-4371 or x-4631, E-mail: Hsu@Lemoyne.edu
Office Hours

This syllabus should be considered as a guide only. The actual pace of the class may vary.
email me if you have any question: HSU@maple.lemoyne.edu