Problems for Monday, January 24th: All(!) problems in sections 1.1, 1.2, and 1.3. (As some you do not have books yet, I have uploaded copies of the problem sections here: Section 1.1, section 1.2, section 1.3).
Problems for Monday, January 31st: Some of these problems are probably quite hard if you are not used to proving things, but don't give up – they are good practice for what happens later in the course! (Click the links for the problem text.)
Section 1.4, problems: 1, 2, 4, 6, 7, 8, 9 Det er en trykkfeil i 1.4.7a): \(B\subseteq Y\) burde ha v?rt \(B\subseteq f(X)\).
Section 1.6, problems: 1, 2, 4, 5
Section 2.1, problems: 1, 2, 4, 6
Problems for Monday, February 7th: (Click the links for the problem text.)
Section 2.2, problems: 1, 2, 4, 5
Section 2.3, problems: 1, 2, 3, 4, 9
Mandatory assignment 1, 2020, problem 1
Section 3.1, problems: 5, 6, 7, 9, 12
Section 3.2, problems: 1, 4, 5, 6, 8
Problems for Monday, February 14th: (Click the links for the problem text.)
Section 3.3, problems: 1, 4, 5, 6, 7, 10, 11, 12
Section 3.4, problems: 1, 2, 3, 5, 6, 7, 9 (if you think some of these problems are tough, you are probably right).
Problems for Monday, February 21st: (Click the links for the problem text.)
Section 3.5, problems: 1, 2, 3, 4, 5, 7, 9, 12, 13, 16
Section 3.6, problems: 1, 3, 5, 7 (there is a misprint in the hint in problem 7: \(\neq\emptyset\) should be \(=\emptyset\)).
Problems for Monday, February 28th: (Click the links for the problem text.)
Section 4.1, problems: 1, 2, 3, 4
Section 4.2, problems: 1, 3, 4, 6, 9, 10
Section 4.3, problems: 1, 2, 3, 6, 8, 10
Problems for Monday, March 7th: (Click the links for the problem text.)
Section 4.4, problems: 1, 2, 3, 4, 5, 6
Section 4.5, problems: 1, 2, 3, 4, 5, 6
Section 4.6, problems: 1, 2, 3
Problems for Monday, March 14th: (click the links for the problem text):
Section 4.7, problems 1, 2, 3
Section 4.8, problems 1, 2, 3 , 4, 5, 7, 8
NB: No class Monday, March 21st due to midterm exams in other courses:
Problems for Monday, March 28th:
Section 4.9, problems 1, 2
Section 4.10, problems 1, 2, 3 , 4, 5,
Section 5.1, problems 1, 2, 3.
Problems for Monday, April 4th:
Section 5.1, problems 4, 5, 6, 8, 9, 10, 11, 12
Section 5.2, problems 1, 2, 3.
Problems for Monday, April 25th: Due to Easter holidays, there are no classes April 11th and 18th, but as there is a lecture Wednesday, April 20th, I have probably given a few more problems than usual.
Section 5.3, problems 1, 2, 3, 4, 5, 6, 8, 9, 11, 13
Section 10.1, problems 1, 3, 5, 6, 7, 9, 10, 11
Problems for Monday, May 2nd:
Section 10.2, problems 1, 2
Section 10.3, problems 1, 2, 3
Section 10.4, problems 1, 2, 4, 6
Section 10.5, problems 4, 5
Section 10.6, problems 1, 2
Problems for Monday, May 9th:
Section 5.4, problems 1, 2, 3, 4, 5, 6, 7, 8
Section 5.5, problems 3, 4, 7
Section 6.1, problems 3, 5, 11
Problems for Monday, May 16th:
Section 6.2, problems 1, 4, 5, 6, 7, 9, 10
Section 6.3, problems 1, 2
Section 6.4, problems 1, 2, 3
Section 6.5, problems 2, 3, 4, 5, 6
Problems for Monday, May 23rd:
Section 6.7, problems 1, 2, 3
Section 6.8, problems 2, 3, 4, 6