MATH 485 Introduction to Differential Geometry
This course discusses the classical theory of curves and surfaces in space and introduces the students to the basic concepts of Riemannian geometry including differentiable manifolds, the metric tensor, the Levi–Civita connection, and the Riemann curvature tensor.
Credits
4
Prerequisite
class='sc-courselink' href='/en/2020-2021/undergraduate-graduate-catalog/all-courses/math-mathematics/200/math-222'>MATH
222 Calculus
III, and
either
class='sc-courselink' href='/en/2020-2021/undergraduate-graduate-catalog/all-courses/math-mathematics/200/math-226'>MATH
226 Linear
Algebra & Probability
for
Engineers
or
MATH
228
Introduction
to
Linear
Algebra (all
with
a
grade
of
C- or
higher). Admission
to
a
Master’s
program
is
also
an
acceptable
prerequisite.