Date Submitted: Thu, 13 Jul 2017 14:55:24 GMT

Viewing: MATH 3848 : Differential Geometry

Last approved: Tue, 09 May 2017 08:02:38 GMT

Last edit: Fri, 05 May 2017 17:36:53 GMT

Changes proposed by: misrak
Catalog Pages referencing this course
Programs referencing this course
Columbian College of Arts and Sciences
Mathematics (MATH)
MATH
3848
Differential Geometry
Differential Geometry
Fall 2017
3
Course Type
Lecture
Default Grading Method
Letter Grade

No
No
MATH 2184 or MATH 2185; MATH 2233 and MATH 2971
Corequisites

30

Frequency of Offering

Term(s) Offered

Are there Course Equivalents?
No
 
No
Fee Type


No


Curves in space, regular surfaces, tensors, fundamental forms of a surface, Gauss–Bonnet theory, minimal surfaces; the geometry of the Gauss map.
A student who completes this course will know: * the properties of a curve and the concepts of curvature and torsion. * what is a regular surface and what is its Gauss map. * how to calculate the first and second fundamental forms of a surface and quantities such as arc length, surface area, principal curvatures, Gauss curvature and mean curvature. * the meaning of the covariant derivative and how to compute it. * the implications of Theorema Egregrium and the Gauss-Bonnet Theorem.

Course Attribute
CCAS - GCR: Q & L
Updated 04/07/17.
candaceg (Wed, 15 Feb 2017 23:17:32 GMT): Rollback: please update your syllabus to include all elements of the required syllabus template. template attached for further guidance.
candaceg (Wed, 15 Mar 2017 19:59:38 GMT): Rollback: Please update syllabus to include the following: 1-2 sentence course description and the mental health statement (instead of the ucc). Required syllabus attached for further guidance.
Key: 4858