Search Results
Your search for courses · during 2023-24 · 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.
- Fall 2023
- Formal or Statistical Reasoning
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Mathematics 236
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MATH 295 Introduction to Computational Algebraic Geometry 6 credits
Classical algebraic geometry is the study of geometric objects defined by polynomial equations. This course will cover fundamental concepts and techniques—varieties, ideals, and Gröbner bases, to name a few—as well as algorithms for solving equations and computing intersections of curves and surfaces. Ultimately, this course will build towards several beautiful results: the 27 lines on a cubic surface, the 28 bitangents on a planar quartic, and the construction of regular polygons. Students will learn to use software such as SageMath to perform computations and practice visualization. While familiarity with Python would be helpful, it is by no means required!
Sophomore Priority
- Spring 2024
- Formal or Statistical Reasoning
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Mathematics 236 or instructor permission
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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 2024
- Formal or Statistical Reasoning
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Mathematics 236 or instructor permission