Messages
Here is the final exam, with my sample solutions.
- John
Please be informed about the following messages:
- Time and place for the final exam. No examination support material is allowed, i.e., no textbook and no calculator.
- The exam syllabus/curriculum.
- The supplementary lecture notes (direct link).
- Previous exams. This year's exam will have approximately the same format as the ones from 2018 and 2021.
Today was my last exercise session. Thank you to those of you who participated! I wish all of you the best of luck on your exams, and eventually happy holidays!
- Snorre
I won’t make it to the exercise session tomorrow unfortunately, but I will post solutions afterwards. Sorry for the inconvenience!
Added November 16th: Here are Snorre's solutions to the exercises.
The problem sets (sometimes with sample solutions) for previous MAT3500/MAT4500 exams can be found at the links below:
- /studier/emner/matnat/math/MAT4500/h22/beskjeder/grading-of-final-exam.html
- /studier/emner/matnat/math/MAT4500/h21/beskjeder/sample-solutions.html
- /studier/emner/matnat/math/MAT4500/h20/eksamen/mat35004500_2020_suggested_solutions.pdf
- /studier/emner/matnat/math/MAT4500/h19/beskjeder/eks-sol.pdf
- https://www...
The mandatory assignment is now available. Master's students must use LaTeX or an equivalent; this source code may help you get started. Use Canvas to upload your answers, before the deadline at 14:30 on Thursday October 26th.
Added October 31st: Here are my sample solutions to this assignment.
Added November 1st: All assignments have now been graded.
Amund Alsvik (amundsal@math.uio.no) is the contact student this semester.
Hi!
Thank you for the (surprisingly) good attendance on this mornings exercise session (given the early timing)!
As I briefly mentioned in the beginning, I'm open for suggestions as to how my lectures are organized. I suggest the following: the students request exercises for me to go through on the blackboard in the beginning of the lecture, and then we solve these at the end of the lecture. That way you get a chance to work with the exercises at hand before we discuss them in the end.
Later I will revise the structure of the exercise sessions using some form of anonymous questionnaire.
If you have any questions, please send me an email: snorrber@math.uio.no (you can also find my contact-info on my personal page).
Have a nice weekend! / God h?lj!
- Snorre.
This list grew into the exam syllabus, over the course of the semester. The date shows when the material was discussed.
- Section 1: Fundamental Concepts (21/8)
- Section 2: Functions (21/8)
- Section 3: Relations (up to Order Relations) (25/9)
- Section 5. Cartesian Products (25/8)
- Section 6: Finite Sets (25/8)
- Section 7: Countable and Uncountable Sets (23/10)
- Section 12: Topological Spaces (25/8)
- Section 13: Basis for a Topology (28/8)
- Section 15: The Product Topology on X x Y (1/9)
- Section 16: The Subspace Topology (4/9)
- Section 17: Closed Sets and Limit Points (8/9)
- Section 18: Continuous Functions (11/9)
- Section 19: The Product Topology (18/9)
- Section 20: The Metric Topology (22/9)
- Section 21: The Metric Topology (continued) (25/9)
- Section 22: ...
In addition to Munkres' textbook "Topology", I maintain some lecture notes (last updated November 20, 2023) and a vocabulary list. Students are strongly encouraged to (get up early Thursday mornings and) participate in the exercise sessions. As a supplement, the following collections of sample solutions may be useful.
- Sample solutions by Alice Hedenlund from 2019, and exam problems from 1991 to 2016
- Handwritten solutions by Jonas Kylling from 2016
- https://dbfin.com/topology/munkres/
http://www.math.cornell.edu/~matsumura/math4530/math4530web.html
http://www.math.cornell.edu/~erin/topology/...
We will have lectures (by John Rognes) Mondays 14.15-16 and Fridays 10.15-12, and exercise sessions (by Snorre Bergan) Thursdays 08.15-10 (note the new time). The exercise sessions will be in Room B107 in N. H. Abels hus, while the lectures have mostly been moved to the larger Auditoriums 4 and 2 in Vilhelm Bjerknes' hus (with a few exceptions). See the course schedule for the up-to-date plan for the lectures and the weekly list of exercises. We will use Canvas for the mandatory assignment (only).