Math 20 Summer 2003

Instructor:  Scott Pauls
Office:  404 Bradley Hall
Phone:  646-1047
email:  scott.pauls@dartmouth.edu

Course Specifics:
MWF 12,  Bradley 105.  xhour: Tuesday 1-1:50pm
Office hours:  Any unscheduled xhour, Tuesday 2-3pm and Thursday 1-2pm and by appointment.


Text:  Grinstead and Snell, "Introduction to Probability"  Second revised edition. 

This book is available at the bookstore or online.

Grading:

Midterm: 100 points
Homework: 50 points
Final: 150 points

Syllabus and Homework (check back frequently as this will be adjusted often)

Date
Topics Covered
Sections
Homework Problems Assigned
Due Dates
6/20
Basic probability
1.2


6/23
Basic probability
1.2
1.2 # 1,2,3,10,18a,25,31
6/25
Combinatorics: permutations and combinations
3.1
3.1 #1,2,3,7,10,17
6/27
cont
3.2
3.2 #1,2,12,13 6/30
6/30
cont
3.2
3.2 # 7, 8, 10, 27
7/2
cont
3.2
3.2 # 15, 16, 26
7/4
No class


7/7
7/7
Conditional probability
4.1
4.1 # 1,2,4,9
7/9
cont
4.1
4.1 # 7,8,17,25,27
7/11
Expected values
4.1,6.1
4.1 # 22,35,55,56,58 7/14
7/14
cont
6.1
6.1 # 2,4,5,8,19
7/16
Variance
6.2
6.1 # 9,16,17,29
7/18
cont
6.2
6.1 # 12,13,37 7/21
7/21
Some important distributions
5.1
6.2 #1,2,3,10,14,15
7/22
Midterm Exam

Practice problems:
  • 1.2 #6,9,26
  • 3.1 #4,6,8
  • 3.2 #11,18,19,20,31
  • 4.1 #12,16,19,38,39,59,61 (61 is harder than the others)
6pm-8pm Moore B03
7/23
cont
5.1
6.2 #12,13,27
7/25
cont
5.1
5.1 13,14,35a,38 8/4
7/28
no class


7/30
no class



8/1
Law of Large numbers
8.1


8/4
Central Limit Theorem
9.1
8.1 # 1,4,8,11
8/5
(xhour) Central Limit thm (cont)



8/6
(last day to withdraw)  Polling, general central limit theorem
 
9.1#1,5,14,17
8/8
Summary of the two major theorems
9.1,9.2

8/11
8/11
Markov Chains
11.1
9.2 #5,6,11,12
8/13
Absorbing Chains
11.2
11.1 #1,6,19, 11.2 #1,4,8
8/15
Regular Chains
11.3

8/18
8/18


(not collected)11.3# 2,3,11
8/20
last day of class



8/24
Final exam 1:30pm

Practice Problems
  • 6.1 #3,11,15,18
  • 6.2 #5,7,8,9
  • 5.1 #16
  • 8.1 #5,6
  • 9.1 #2,4,6,9
  • 9.2 #7,10
  • 11.2 #9,13,16