University at Buffalo 3 credits Mathematics
Provides a broader understanding of differential geometry. Comprehensively introduces the theory of curves and surfaces in space. Moves toward the goal of viewing surfaces as special concrete examples of differentiable manifolds, reached by studying surfaces using tools that are basic to studying manifolds. Topics include curves in 3-D space, differential forms, Frenet formulae, patch computations, curvature, isometries, intrinsic geometry of surfaces. Serves as an introduction to more advanced courses involving differentiable manifolds. Prerequisites:MTH 241 or MTH 251 and MTH 309 or MTH 323. Note: This is a tutorial or topical course wherein content varies from semester to semester. As such, credit and grade replacement per the Course Repeat policy will not apply. For more details, please refer to the complete Course Repeat policy in the Academic Policies and Procedures section of this catalog. Additionally, it is important to review specific program requirements, as some majors impose restrictions on the number of credits allowed toward degree requirements.
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