Search Results
Your search for courses · during 25FA, 26WI, 26SP · tagged with MATH Geometry and Topology · returned 3 results
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MATH 244 Geometries 6 credits
Euclidean geometry from an advanced perspective; projective, hyperbolic, inversive, and/or other geometries. Recommended for prospective secondary school teachers.
- Winter 2026
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 236 with a grade of C- or better.
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MATH 295 Tessellation 6 credits
This course explores a particularly visual sort of mathematical pattern: a tessellation. A tessellation is a way of covering the plane with shapes (called “tiles”) that don’t overlap. This class will explore questions like: Is it possible to make a tessellation out of a given set of tiles? How many different tessellations can I create from this set of tiles? We’ll cover both classical results (it is impossible to tile the plane with heptagons!), and the 2023 construction of the “Einstein tile”: the first known polygon that tiles the plane but never periodically. Links will be made with graph theory, topology, and geometry.
Repeatable: This course is repeatable provided the topics are different.
Sophomore Priority
- Spring 2026
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 236 with a grade of C- or better or received a Carleton Math 236 Requisite Equivalency exam.
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MATH 354 Topology 6 credits
An introduction to the study of topological spaces. We develop concepts from point-set and algebraic topology in order to distinguish between different topological spaces up to homeomorphism. Topics include methods of construction of topological spaces; continuity, connectedness, compactness, Hausdorff condition; fundamental group, homotopy of maps.
- Winter 2026
- FSR, Formal or Statistical Reasoning
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Student has completed any of the following course(s): MATH 236 with a grade of C- or better or received a Carleton Math 236 Requisite Equivalency exam.