filmov
tv
Analysis II Lecture 11 Part 1 manifolds
Показать описание
The definition of a diffeomorphism is given together with what a manifold is. Several examples are drawn to provide intuition.
This is part of a series of lectures on Mathematical Analysis II. Topics covered include continuous and differentiable multi-variable functions on Euclidean space, the chain rule, the implicit function theorem, manifolds, tangent spaces, vector fields, the degree and index of a smooth map, the Euler characteristic, metric spaces, the contraction mapping theorem, existence and uniqueness of solutions to ordinary differential equations, and integral equations.
I speak rather slowly, so you may wish to increase the speed of this video.
These videos were created during the 2017 Spring semester at the UConn CETL Lightboard Room.
This is part of a series of lectures on Mathematical Analysis II. Topics covered include continuous and differentiable multi-variable functions on Euclidean space, the chain rule, the implicit function theorem, manifolds, tangent spaces, vector fields, the degree and index of a smooth map, the Euler characteristic, metric spaces, the contraction mapping theorem, existence and uniqueness of solutions to ordinary differential equations, and integral equations.
I speak rather slowly, so you may wish to increase the speed of this video.
These videos were created during the 2017 Spring semester at the UConn CETL Lightboard Room.
0:08:12
Analysis II Lecture 11 Part 1 manifolds
0:13:09
Analysis II Lecture 11 Part 2 alternative definition of manifold and non-examples
0:11:43
Analysis II Lecture 11 Part 3 implicitly defined manifolds
1:23:48
11. Time Series Analysis II
1:21:38
Lecture 11: The Lebesgue Integral of a Nonnegative Function and Convergence Theorems
0:11:08
Analysis II Lecture 10 Part 1 height functions and level sets
0:09:03
Analysis II Lecture 13 Part 1 the differential for functions on manifolds
1:24:26
Lecture #11: Intro to DOE
0:17:52
11th State Board Maths - Ex 7.1 (14, 20, 21, 23) - Important Sums - Part 4 -
0:07:11
Terence Tao's Analysis I and Analysis II Book Review
0:12:14
Analysis II Lecture 13 Part 4 submanifolds and normal vectors
0:14:41
Analysis II Lecture 19 Part 2 existence and uniqueness of solutions to ODEs
0:14:01
Analysis II Lecture 12 Part 4 Hadamard's Lemma
0:08:32
Analysis II Lecture 14 Part 4 the index is well-defined
0:12:51
Analysis II Lecture 14 Part 1 orientations
0:12:28
Analysis II Lecture 12 Part 1 the tangent space
0:10:31
Analysis II Lecture 15 Part 2 flows on manifolds
0:09:25
Analysis II Lecture 08 Part 1 inverse differential
0:10:40
Analysis II Lecture 13 Part 2 Jacobians for differentiable functions on manifold
0:06:03
Analysis II Lecture 01 Part 2 products
0:10:00
Analysis II Lecture 06 Part 1 The derivative functor
0:16:56
Analysis II Lecture 09 Part 1 (review) example computing the differential of a function
1:21:05
Lecture 11: Dispersion of the Gaussian and the Finite Well
0:11:22
Analysis II Lecture 02 Part 1 basic topology of euclidean space
Комментарии