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May 11, 2025
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MATH 4540 - Introduction to Differential Geometry (MQR-AS, SMR-AS) Spring. 4 credits. Student option grading.
Prerequisite: MATH 2210 -MATH 2220 , MATH 2230 -MATH 2240 , or MATH 2930 -MATH 2940 , plus at least one mathematics course numbered 3000 or above. Students will be expected to be comfortable with proofs. MATH 4530 is not a prerequisite.
Staff.
Differential geometry involves using calculus to study geometric concepts such as curvature and geodesics. This introductory course focuses on the differential geometry of curves and surfaces. It may also touch upon the higher-dimensional generalizations, Riemannian manifolds, which underlie the study of general relativity.
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