**Fall 2010, Section 3**

**Course meets:**
Tuesday and Thursday 1:10-2:30 in 1084 East Hall.

**Instructor:**
Sergey Fomin, 2858 East Hall, 764-6297,
fomin@umich.edu

**Office hours:**
Tuesday 3:00-4:00 and Thursday 4:10-5:30 in 2858 East Hall.
**No office hours** on 9/23, 10/14, 11/4, 12/9.

**Grader:**
Yingying Tan,
yings@umich.edu

**Course homepage:** http://www.math.lsa.umich.edu/~fomin/425f10.html

**Text (required):** Sheldon Ross,
*A First Course in Probability*, 8th edition, Prentice-Hall, 2010.

Where can I buy this textbook? (also check out publisher's online store and international editions)

**Prerequisites:** Math 215 or 285 (Multi-variable calculus).

**Course synopsis:**

This course introduces students to the theory of probability and to a
number of applications.
Topics include the basic results and methods of both discrete and continuous
probability theory: conditional probability,
independent events, random variables, jointly
distributed random variables, expectations,
variances, covariances.
The material corresponds to
most of Chapters 1-7 and part of 8 of Ross.

**Grade** will be based on two midterm exams
(held during regular class time), 25% each;
20% homework; 30% final exam (comprehensive).

Your lowest homework set score will be dropped.

This course will **not** be graded on a curve, i.e., there are not a set
number of each grade to be given out.
Every student with the total score of 90% (resp., 80%, 70%, 60%)
is guaranteed the final grade of A (resp., B or higher, C or higher, D
or higher).

There will be 10 problem sets.
*No late homework* will be accepted.
In each homework assignment, 5 problems will be graded.
All answers should be justified by a sound argument.
An answer lacking justification will receive no credit.
Collaboration on the homework is fine, but each person is responsible
for writing up her/his own solutions.
Due dates shown below are tentative;
actual due dates will be announced in class.

**HW#1**, due 9/14:
*Chapter 1,* problems 3, 8(c), 12(a), 15, 22, 24, 26, 28, 30.

**HW#2**, due 9/21:
*Chapter 2,* 12(a), 17, 21(b), 29(a), 32, 42, 43(b), 45, 47.

**HW#3**, due 9/28:
*Chapter 3,* 4, 13, 16, 18(a), 26, 36, 47, 53.

**HW#4**, due 10/05:
*Chapter 3,* 39, 48, 56, 62, 63(c), 66, 70, 71.

**HW#5**, due 10/21:
*Chapter 4,* 4, 14, 22(b), 32, 38, 41, 43, 48.

**HW#6**, due 10/28:
*Chapter 4,* 54, 64(b), 65(b); *Chapter 5,* 1, 5, 7, 11,
13(b).

**HW#7**, due 11/4:
*Chapter 5,* 18, 19, 21, 24, 27, 32, 33.

**HW#8**, due 11/23:
*Chapter 6,* 6, 8, 14, 27, 29(a), 30(a), 31(a).

**HW#9**, due 12/2:
*Chapter 6,* 41(a), 58;
*Chapter 7,* 9(a), 12, 19(a), 34(a).

**HW#10**, due 12/9:
*Chapter 7,* 34(b), 39, 42
(1^{st} part), 51;
*Chapter 8,* 7, 13(a), 15.

Exams are closed book, closed notebook. You will be allowed to bring a 3-by-5 index card to the 1st midterm, two such cards to the 2nd midterm, and three cards to the final. One problem on each midterm exam will be taken directly from homework (perhaps with altered numerical values).

Past exams can be found on Math 425 pages by Dan Burns and Hugh Montgomery.

The midterm exams are held in class. **No makeups** will be given.

Exam #1 covers Chapters 1-3.

Practice problems for Exam #1 and answers to them. Another practice problem

Exam #2 covers Chapters 4-5, with the exception of Sections 4.8.3-4.8.4, 5.5.1, 5.6.

__Practice problems for Exam #2__: *Self-Test Problems and
Exercises*
in *Chapter 4,* 3, 13, 15; and in *Chapter 5,* 11, 12

Final exam covers the topics covered by the midterm exams (see above), plus Sections 6.1-6.5, 6.7, 7.1-7.2 (except 7.2.1-7.2.2), 7.4-7.5 (except 7.5.2-7.5.4), 8.1-8.3, and 9.1.

Practice problems for the final exam and answers to them.

All exams will be held in the same room where the class meets.

Midterm exam dates shown below are tentative;
actual dates will be announced in class.

**First midterm**: October 7.

**Second midterm**: November 9.

**Final exam**: December 15, 4-6 PM, in 1084 East Hall.

(Time of the final exam is determined by the Office of the
Registrar.)