MTH 246 - Homework 4
Due by 4pm Thursday October 10 Extension: due by 4pm Tuesday October 15
Please answer the questions in the order they are listed, staple the pages together
and write clearly in the front of the assignment your name
Question 1. Quick q
MTH 246 - Homework 2
Due by 4pm Thursday September 26
Please answer the questions in the order they are listed, staple the pages together
and write clearly in the front of the assignment your name
Question 1. You are given three formulae. Identify the var
MTH 246 - Homework 5
Due by 4pm Tuesday October 22
Please answer the questions in the order they are listed, staple the pages together
and write clearly in the front of the assignment your name
The rst two questions should be approached on a naive way. Th
MTH 246 - Homework 6
Due by 4pm Thursday October 31
Please answer the questions in the order they are listed, staple the pages together
and write clearly in the front of the assignment your name
Four longer questions this week. They will each count for 15
MTH 246 - Homework 3
Due by 4pm Thursday October 3
Please answer the questions in the order they are listed, staple the pages together
and write clearly in the front of the assignment your name
Question 1. Let A be a set. Prove that P(A) A. Notice that th
MTH 246 - Homework 10
Due by 4pm Tuesday December 10
Each question is worth 15pts.
Question 1. Let n 2 be a nite cardinal and 0 = card().
You are given ve innite cardinal numbers. Each equals 0 or 20 . Decide which and justify
your answer.
Cardinal arithm
MTH 246 - Homework 7
Due by 4pm Thursday November 7
Please answer the questions in the order they are listed, staple the pages together
and write clearly in the front of the assignment your name. Each question is worth
12pts
Question 1. (i) Let A = and F
MTH 246 - Homework 10 solutions
Question 1. Let n 2 be a nite cardinal and 0 = card().
You are given ve innite cardinal numbers. Each equals 0 or 20 . Decide which and justify
your answer.
Cardinal arithmetic works well here, as does the SchrderBernstein
MTH 246 - Homework 9 solutions
Question 1. The questions asks for a detailed proof that P(A)
S its characteristic function is
1 , sS
S (s) =
.
0 , sS
/
Prove carefully that the map : P(A)
A
A
2. Recall that for any set
cfw_0, 1 given by (S) = S is a bij
MTH 246 - Homework 1
Due by 4pm Thursday September 19
Please answer the questions in the order they are listed, staple the pages together
and write clearly in the front of the assignment your name
Question 1. Use logic notation to write down formal deniti
MTH 246 - Homework 8
Due by 4pm Thursday November 14
Each question is worth 10pts.
Question 1. (i) Prove that addition in R is commutative and associative. You may use the
fact that addition in Q is associative and commutative.
(ii) Let x and y be real nu
MTH 246 - Homework 9
Due by 4pm Tuesday December 3
Each question is worth 12pts.
Question 1. The questions asks for a detailed proof that P(A)
S its characteristic function is
1 , sS
S (s) =
.
0 , sS
/
Prove carefully that the map : P(A)
A
A
2. Recall t