Messages

Here are my sample solutions to the exam problems, and some photos of helicoid staircases.

- John

From the MAT4510 course page under "oppgaver" you can find exam problems from previous years.  Let us look at the

• December 2014 exam on Wednesday December 2nd
• [sample solution],

and the

• December 2013 exam on Wednesday December 9th
• [sample solution].

In both cases we meet in room B1036 from 10.15 to 12.00, as usual.  No lecture or problem session is planned for Friday December 4th and Friday December 11th.

Section 5.5, Problems 1, 2, 3 and 4.

I uploaded written solutions to these problems.

My lecture notes, supplementing Jahren's book, are now more-or-less complete.

Student representative Jan's contact information either vanished in an earlier clean-up of the course messages, or was never posted.  It is:

kotrbja2@fjfi.cvut.cz

Again, thanks for the help with the evaluation from last month.

Added the Gauss-Bonnet theorem to the notes.  In the remaining lectures I will refer to the notes for many of the detailed computations.

Section 5.3, Problems 1 and 2.

Section 5.4, Problem 5 (change cosh u to cosh v in part b).

Here is a picture of the pseudosphere.

The conclusions from the course evaluation have been uploaded. Many thanks to Jan for his assistance.

The 14 mandatory assignments I received have all been approved. I have uploaded a proposed solution, and will bring the papers to the October 30th lecture.

We plan to do the course evaluation on Wednesday October 21st.  We will use this form.

The mandatory assigment for MAT4510 this fall is now available.  See the Department of Mathematics web page concerning mandatory assigments for further information, including rules for cooperation, where to hand in your answers, and what to do if you passed the mandatory assignment requirement for this course in a previous year. The deadline is at 14.30 on Thursday October 22nd.

- John

There will be one mandatory written assignment for the course. Passing the mandatory assignment is a prerequisite for taking the final exam. The assignment will be published around October 1st, and you must hand in your solution (in the hand-in box on the 7th floor of N. H. Abel's house) no later than Thursday October 22nd at 14:30.  You may cooperate with others when preparing your solutions, but what you submit should reflect your own understanding of the material. The assignments will be checked and corrected, and given a pass/fail grade.  Students receiving a marginal fail grade will be offered one chance to revise their solutions, by a later date in November.  Here is the math department web page about the regulations for mandatory assignments.

I have assigned some exercises from Chapter 1 for the first hour of next Wednesday.  Please try to solve these problems before coming to that class.  See the schedule/timetable for more details.

I will use Bj?rn Jahren's textbook ``Geometric Structures in Dimension Two''. This is the version from August 11th 2015.

Here are some other sources I have looked at.

Books

• James W. Anderson: ``Hyperbolic Geometry,'' Springer-Verlag.
• Marvin Jay Greenberg: ``Euclidean and Non-Euclidean Geometries,'' W.H. Freeman and Company.
• William P. Thurston (edited by Silvio Levy): ``Three-Dimensional Geometry and Topology, Volume I,'' Princeton University Press.

Papers

• Robin Hartshorne: ``Teaching Geometry According to Euclid,'' Notices of the AMS, Volume 47, Number 4.
• Allen Hatcher: ``The Kirby Torus Trick for Surfaces,'' ...