Foundations of geometry and non-Euclidean geometry: Recitation

Winter 2026, University of Wrocław
A tiling of the hyperbolic plane in the band model.

Image by TheKing44 - Own work, CC BY-SA 4.0, Link. Rotated and cropped for use on this webpage.

This is the page for the recitation section of Foundations of geometry and non-Euclidean geometry. The page for the lecture section can be found here.

Basic Information

Recitation is held Wednesdays, 10:15–12:00 in room 607 of the Mathematical Institute.

Note that Friday, December 18 will have a Wednesday schedule.

Evaluation

In order to pass the recitation section, you must:

  1. Achieve a grade of at least 3.0, and
  2. Present at least one solution to an exercise in class from the exercise lists.

Your grade will be based on two in-class midterm exams as well as on solutions you present in class to exercises from the exercise lists.

  • 45%: Midterm exam 1, Wednesday, November 25
  • 45%: Midterm exam 2, Wednesday, January 20
  • 20%: Presentation of solutions of exercises from the exercise lists
  • Grade thresholds: [0%,50%) → 2.0, [50%,60%) → 3.0, [60%,70%) → 3.5, [70%,80%) → 4.0, [80%,90%) → 4.5, [90%,110%] → 5.0

As suggested above, a bonus of at most 10% can be earned from presenting more solutions in class than your “quota.” See below for more details.

Presentation of Solutions

During the recitation, you will be asked to volunteer to present solutions to exercises from the lists. For each solution you present, you will earn points towards the 20% presentation portion of your evaluation, where 10% is considered a full grade and anything above is considered a bonus. If no student volunteers to present a solution for a particular exercise then the instructor will present a solution. Your final evaluation will be the minimum of 20% and 10% × P × N / T where

  • P is the number of points you have earned from presenting solutions in class
  • T is the total number of points earned by everyone in class (including those earned by the instructor)
  • N is the number of students (estimated from the number writing the midterms)

You should think of T / N as your quota of points to earn. If P ≥ T / N then you will earn at least the full grade of 10%.