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California State University-Sacramento Course Info

Sacramento, California

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Course Info

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MATH 196K

Introduction to Differential Geometry

Calculus methods are applied to the study of curves and surfaces in three dimensional space. After an introduction to the geometry of curves (curvature, torsion, and Frenet's formulas), the course explores the geometry of surfaces. Some of the geometrical properties of a surface that will be investigated are its first and second fundamental forms, its various curvatures (normal, principal, mean, and Gaussian curvatures), and its geodesic curves.

Units: 3.0

Prerequisites:
MATH 035 - Introduction to Linear Algebra
and
MATH 032 - Calculus III