Weekly problems

On this page you will find problems for the problem sessions.

 

Problems for the problem session May 19th and the solution presentation May 27th:

Section 4.6: Problems 2, 3, 4, 8. 9, 13

Section 4.7: Problems 3, 4, 6, 9

Section 4.8: Problems 1, 2, 3

Solutions Oppgave 4.6.13

Problems for the problem session May 12 th and the solution presentation May 20th:

Section 4.4: Problems 1, 2 (Trykkfeil: Der er f^(-1) av intervallene du skal vise er m?lbare), 3 (Trykkfeil: Det er Proposition 4.4.3 som skal bevises), 5, 6, 8, 10, 11

Section 4.5: Problems 1-5

Solutions

Problems for the problem session May 5th and the solution presentation May 13th:

Section 4.1: Problems 1, 2, 3, 5

Section 4.2: Problems 1, 3, 5, 7, 8 ,10 ,11

Section 4.3: Problems 2, 5

Solutions

Problems for the problem session April 28th and the solution presentation May 6th:

Section 3.11: Problems 1-2

Section 3.12: Problems 1-3

Section 3.13: Problems 2-3

Solutions

Problems for the problem session April 14th and the solution presentation April 29th:

Section 3.8: Problems 3-4

Section 3.9: Problems 1-4

Section 3.10: Problems 1-5

Solutions

Problems for the problem session April 7th and the solution presentation April 15th:

Section 3.6: Problems 10-13

Section 3.7: Problems 1, 3, 4, 5

Section 3.8: Problems 1, 2 (in Problem 3.8.2e) it important that you use the new version of Definition 3.8.4, the one where the function values in the jump points are specified.)

Solutions

Problems for the problem session March 31st and the solution presentation April 8th:

Section 3.5: Problems: 6, 9,10

Section 3.6: Problems: 1-9

Solutions

Problems for the problem session March24th and the solution presentation April 1st:

Section 3.3: Problems: 1-6

Section 3.4: Problem: 1

Section 3.5: Problems: 1, 2, 3, 4, 5, 7, 8

Solutions

Problems for the problem session March17th and the solution presentation March 25th:

The problems from section 2.8 are probably harder than the rest

Section 2.8: Problems: 12, 13, 14

Section 3.1: Problems: 1, 2, 3, 4

Section 3.2: Problems: 1, 3, 4, 5, 7

Solutions

Problems for the problem session March10th and the solution presentation March 18th:

We first go back to Chapter 1 ("Notes on Metric Spaces") for two problems:

Section 1.3: Problems: 6,7

Section 2.8: Problems: 1-11

Solutions

Problems for the problem session March 3rd and the solution presentation March 11th:

From chapter 2 of the notes:

Section 2.5: Problems; 4, 6, 7

Section 2.6: Problems; 1, 2

Section 2.7: Problems; 1, 2, 3, 4, 5

Solutions

Problems for the problem session February 24th and the solution presentation March 4th:

From chapter 2 of the notes:

Section 2.2: Problems; 10, 11, 12

Section 2.3: Problems; 1, 3

Section 2.4: Problems; 1, 2, 3

Section 2.5: Problems; 1, 2, 3, 5

Solutions

Problems for the problem session February 17th and the solution presentation February 25th:

From the notes on metric spaces:

Section 1.5:  Problems 7, 9, 10, 11, 13

From Chapter 2 of the notes:

Section 2.1: Problems 1, 2, 3

Section 2.2, Problems 1, 2, 5, 7, 9

Solutions

Problems for the problem session February 10th and the solution presentation February 18th:

From the notes on metric spaces:

Section 1.4: All problems

Section 1.5: Problems 1-5

Solutions

Problems for the problem session February 2nd and the solution presentation February 11th:

From the notes on metric spaces:

Section 1.1: problems 1, 2, 4, 7, 9

Section 1.2: problems 1, 3, 4, 5

Section 1.3: problems 1, 2, 3, 8. 9, 11, 12

Solutions

Problems for the problem session January 27th and the solution presentation February 2nd (recall that presentation is on Wednesday this week):

All problems from the notes on proofs, sets and functions. In problem 6, the formula referred to as (4) is the second formula in Proposition 4.

Published Jan. 20, 2011 1:09 PM - Last modified June 8, 2011 11:44 AM