Course

EE 306001

Probability

1. Course Description

This course discusses the basic mathematical models for physical phenomena which possess random features or for problems which can be solved by randomization methods. The aim of this course is to consolidate students' way of thinking from intuitive reasoning to rigorous reasoning with a logical framework. This course requires knowledge on calculus, both single and multiple variables. It is required for students to read Chapter 1: Combinatorial Analysis of the textbook by S. Ross before class begins.

 

2. Text Book

S. Ross, A First Course in Probability, 8th edn. Pearson Educational international, 2010.

 

3. Teaching Method

This is an English–teaching course. In class, you are welcome to raise your questions in any language. If you speak a language other than English, Taiwanese or Mandarin, please have someone to translate it to any of the above three languages. We will follow the contents of the textbook from the axiomatic foundation of probability to the limit theorems. Doing homework problems is an essential part of learning any mathematical subjects, including this course. There are two types of homework problems to be assigned in a weekly basis: basic and developed. Only developed problems are required to turn in and be graded. There will be a quiz every week during the last 20 minutes of the Monday class and quiz problems will be based on the assigned basic homework problems. Solutions of developed homework problems can be retrieved from my web site. It is required for students to read Chapter 1: Combinatorial Analysis of the textbook by S. Ross before class begins. 
 

4. Schedule

1.
  Axioms of probability (09/17, 09/19, 09/24) 
2.
  Conditional probability and independence (09/26, 10/01, 10/03) 
3.
  Random variables (10/08, 10/15, 10/17, 10/22) 
4.
  Continuous random variables (10/24, 10/31, 11/05, 11/07)
5.
   Jointly distributed random variables (11/12, 11/14, 11/19, 11/21, 11/26, 11/28) 
6.
  Properties of expectation (12/05, 12/10, 12/12, 12/17, 12/19, 12/24, 12/26)
7.
  Limit theorems (01/02, 01/07, 01/09) 

5. Exercise and Homework

#
 
Homework Assignment
Upload date
Solution
1.
 
HW01
2012/10/01
HW01
2.
 
HW02
2012/10/01
HW02
3.
 
HW03
2012/10/04
4.
 
HW04
2012/10/09
5.
 
HW05
2012/11/27
6.
 
HW06
2012/11/27
7.
 
HW07
2012/11/27
8.
 
HW08
2012/11/27
9.
 
HW09
2012/11/27
10.
 
HW10
2012/11/27
 
 
 
 
 
 
 

6. Quiz (Problems and Solutions)

#
  Problems and Solutions
Upload date
 
1.
 
Quiz01
2012/10/09
 
2.
 
Quiz02
2012/10/09
 
3.
 
Quiz03
2012/10/09
 
4.
 
Quiz04
2012/11/27
 
5.
 
Quiz05
2012/11/27
 
6.
 
Quiz06
2012/11/27
 
7.
 
Quiz07
2012/12/10
 
8.
 
Quiz08
2012/12/10
 
9.
 
Quiz09
2012/12/10
 
10.
 
Quiz10
2012/12/10
 
 
 
 
 
 
 
 
 

7. Teaching Assistants

   
E-mail
TA Time
Office
Phone
 
賴維鈞
wclai@abel.ee.nthu.edu.tw Tue. 3:30-5:20PM
EECS608
34032
 
林世穎
mike.ee@livemail.tw Tue. 3:30-5:20PM
EECS608
34032