# Math 850, Fall 2005

### DeBartolo 216: MWF 1:55-2:45

## Office Hours: after class, 10:30-11:30 Tuesday in my
office, and by appointment.

## Dr. Gennady Margolin (
`gmargoli@nd.edu`

) will assist with the course. His office hours are on Thursday 2--4 in room 112, Hayes-Healy.

# Exam Schedule

##
Exam 1: Monday, September 26 (take home).

Exam 2: Monday, November 7 (take home).

Final: Tuesday, December 13 (take home due by 10 AM on December 13).

### rutherford.mws, A Maple Worksheet on the
Poisson distribution and the chi-square goodness-of-fit
test: Rutherford's Geiger Count Data.

### 6.3.3b.mws, A Maple 10 Worksheet on the
solution to Problem 6.3.3b.

# Homework

##

**Homework 9 (due Wednesday, December
7):**

Do Problem 1,3,4 of 7.7; Problems 1, 2 of 12.1.

**Homework 8 (due Wednesday, November
23):**

Do Problem 5 of 6.8; Problems 1, 2 of 6.9.

**Homework 7 (due Wednesday, November
16):**

Do Problem 5 of 4.14; and Problems 1 and 3 of 6.8: in 3,
you may

instead of solving the integral equation, simply check
that

P(E(t) <= x) = 1-exp(-lambda x) solves the
integral equation. Do the following problem:

Problem: Students arrive at the math library according to a Poisson

process with parameter lambda = 2 per hour. What is the probability that

4 arrived in an hour period? Given that 12 arrived in a three hour

period, what is the probability that 4 arrived in the first hour?

**Homework 6 (due Wednesday, November
2):**

Do Problems 9a, 12 of 6.1; Problem 2 of 6.2;

Problem 3a
of 6.3.

**Homework 5 (due Wednesday, October
26):**

Do Problem 1 of 5.9; Problem 1 of 5.10;

Problems 1, 2
of 6.1.

**Homework 4 (due Wednesday, October
5):**

Do Problem 8 of 5.2;
Problem 3 of 5.4;

Problems 1, 2, 3, and first half of Problem 4
of 5.6.

**Homework 3 (due Wednesday, September
21):**

Do Problems 1ac, 2 of 4.1;

Problem 2 of 4.2; Problems 1, 5 of 4.4;

Problems 4, 5, 7 of 4.5; and
Problems 3, 4 of 4.7.

**Homework 2 (due Wednesday, September
14):**

Do Problems 10, 19, 20 of 2.7;
Problem 1 of 3.1; Problem 1 of 3.2;

Problems 2, 4, 6 of 3.3;
Problem 2 of 3.4; Problem 1 of 3.7;

Problem 21ab of 3.11.

**Homework 1 (due Wednesday, September
7):**

Do Problems 1, 2, 3, 7, 12, 14, 22 of 1.8;

Problems 2, 4 of 2.1; Problems 2 of 2.4,
and

Problems 6 of 2.7.

##
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