MATH 2051

Problems in Geometry

Lec 01 selected

This is a basic course for all students interested in geometry. Topics from Euclidean and non-Euclidean geometry may include: transformation geometry, symmetry groups, frieze groups, wallpaper groups and the crystallographic restrictions, similarities; projective geometry and the classical theorems of Menelaus, Ceva, Desargues, Pappus, Pascal; hyperbolic geometry.

Sections

Lecture

From the syllabus

From the Winter 2025 syllabus by Dorette Pronk. Open the PDF

Grading

25%Weekly assignmentsTwo lowest scores dropped
5%ParticipationDiscussion boards, class, office hours
10%Group project poster
10%Written group projectOne submission per group
15%Midterm test
25%Final exam3 hours

Textbook

  • A Survey of Classical and Modern Geometries with Computer Activities, Second Edition, Arthur Baragar (free)

Course rules

Attendance
In-person attendance is mandatory; livestream access is available for illness or another valid reason.
Homework
Submit weekly homework by Wednesday as one PDF, with Cinderella construction files submitted separately.
Late work
Contact the instructor to alert the grader; late homework loses 2 points per day without a valid reason.
Missed work
For absences of three days or fewer that cause missed or late work, submit a Student Declaration of Absence Form.
Missed exams
Email the instructor in advance to determine possible alternatives for a missed midterm or final.
Homework collaboration
Students may collaborate, but must write up homework solutions independently.
Group project
Cite sources used, and be prepared to explain your work.

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