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Listed in: Mathematics and Statistics, as MATH-452
This course will explore the geometry of curves, surfaces and higher dimensional geometric objects in n-dimensional Euclidean space. For curves, the key concepts are curvature and torsion, while for surfaces, the key players are Gaussian curvature, geodesics, and the Gauss-Bonnet Theorem. Other topics covered may include (time permitting) two-dimensional Riemmanian geometry, differential forms and manifolds. MATH 378 and MATH 408 may not both be taken for credit.
Spring semester. Professor Contreras
How to handle overenrollment: Preference given to seniors.
Students who enroll in this course will likely encounter and be expected to engage in the following intellectual skills, modes of learning, and assessment: Problem sets, in-class quizzes or exams, take-home exams, in-class group work.