Math 180A - Fall 2005
Introduction to Probability


Links:    Homework     Lecture Schedule/Handouts

Prof. Glenn Tesler
Lecture MWF 11:00-11:50 p.m., Center 109
Office hours AP&M 5840,  (858) 534-5931,  Wednesdays 3-4:50 p.m.
You may also come to the office hours for my other class (Math 20C) Mondays 3-4:50 p.m., but students from the other class have priority.
Website http://www.math.ucsd.edu/~gptesler/180a
E-mail
   
T.A. Jason Bandlow
Section A02 Thu. 9-9:50 a.m., HSS 1305
Office hours AP&M 2325, Wed. 1-2 p.m.
E-mail
   
T.A. Lei Wu
Section A03 Thu. 7-7:50 p.m., HSS 2154
Section A04 Thu. 8-8:50 p.m., HSS 2154
Office hours AP&M 5760, Wed. 2-3 p.m. and Thu. 4:30-5:30 p.m.
E-mail
   
Textbook Jim Pitman, Probability, (c) 1993, Springer-Verlag.
Requirements Weekly homework, two midterms, one final. Your composite grade is comprised of homework (15% for all homeworks combined), two midterms (20% and 25%), and the final (40%).
Homework Homework will be posted on the class website and is due in section on Thursday or to the T.A.'s homework box (on the wall outside AP&M 2325) by Friday at 9 a.m. It will be normally returned to you in section on Thursday the following week.
  • Please write your name, student ID number, section number (A01, A02, etc.), date, and assignment number at the top of the first page, and staple your pages together.
  • If you will regularly attend a different section than the one you are enrolled in, please add "return in Section x" with the appropriate section number. The T.A.'s will permit this at their discretion, to the extent that seats are available.
  • Show your work, and when relevant, circle your final answer.
  • You may study with others, but the work you turn in should be your own; do not just copy someone else's answer.
  • Late homeworks will not be accepted.
  • You are strongly advised to attend section. If you will miss section, you should send it to section with a friend or submit it early to your T.A.
Exams The rules and material covered on each exam will be announced a week in advance. The dates are as follows:

Midterm 1 Monday, October 17 Answer key (PDF)
Midterm 2 Monday, November 14 Answer key (PDF)
Final Monday, December 5, 11:30 a.m. - 2:30 p.m.  
Academic integrity Cheating will not be tolerated.  See the "UCSD Policy on Integrity of Scholarship" published in the UCSD General Catalog.
Math Add/Drop

The Mathematics Department operates its own Add/Drop Center in AP&M 2420A, weekdays September 22-30 at 9 a.m.-noon and 1-3 p.m., and October 3-7 at 10 a.m.-2 p.m. Hours are subject to change. Use it to change sections, add or drop math classes, check your waiting list status, etc.


Homework problems: Unless otherwise indicated, the problems are from the class textbook. Homework may be submitted in your Thursday sections, or to your T.A.'s homework box (on the wall outside AP&M 2325) by Friday at 9 a.m.
Homework # Due 9 a.m. Friday Assignment
1 Sep. 30 1.1# 2, 3, 5, 7, 8
1.3# 2, 4, 5
Answer key (PDF)
2 Oct. 7 1.3# 6, 9, 10
1.4# 2, 4, 5, 7, 8, 9
1.5# 1, 4, 5
1.6# 8
Answer key (PDF)
3 Oct. 14 1.6# 2, 3
2.1# 1, 2, 4, 7, 11, 13
2.2# 2, 4, 12
Appendix 1 (pp. 513-514)# (xi), (xii), (xiii), (xiv). In (xiv), "all" should be "only".
Answer key (PDF)
4 Oct. 21 2.5# 1, 3, 4, 7, 8
3.1# 1, 2, 4, 7, 9, 15, 22, 23
Answer key (PDF)
5 Oct. 28 Appendix 1 (p. 514)# (x)
3.2# 2, 3, 4, 5, 8, 9, 13, 17
3.3# 1, 2, 3, 5
Answer key (PDF)
6 Nov. 4 2.4# 2, 7 (typo in 2.4.7.: X should be S)
3.3# 14, 17, 22
3.4# 1, 2, 4, 6
3.5# 3, 8, 10, 11
Answer key (PDF)
- Nov. 11 Veterans Day, homework will be combined with next week's assignment
7 Nov. 18 1.6# 5, H-1 (see below)
4.1# 3, 6, 11, 13, 15(bc)
4.2# 3, 6, 7, 13 This section is postponed.
4.4# 3, 5, 10
4.5# 2, 4, 5, 7, H-2
 
H-1: On Mars there are 669 Martian solar days in a year. At what number of Martians is there a 60% chance that at least two share a birthday? (Formulas are on p. 64 and the Nov. 2 class handout.)
 
H-2: Use the cdf in 4.5#2(a) to compute (i) P(0≤X≤2)    (ii) P(0≤X<2)    (iii) P(e<X≤π)
(Of course it is easy to do this w/o the cdf, but please show how to do it with the cdf.)
 
Answer key (PDF)
- Nov. 25 Thanksgiving, homework will be combined with next week's assignment
8 Dec. 2 4.2# 3, 6, 7, 13
5.1# 2, 4bc, 5, 7 (in 5.1.7, replace all lowercase x's by t to avoid confusion with random variable X)
5.2# 2, 3, 11, 16, 17a, H-3
5.3# 2, 3
5.4# 9, 11
6.3# 2
 
H-3: In 5.2.3, compute (d) P(X≤a,Y≤b) with 0<a<1 and 0<b<1; (e) E(X+Y)
 
Answer key (PDF)