Part 1: Formal Definition of a Limit
This video states the formal definition of a limit and provide an epsilon delta proof that a limit exists. complete Video Library at http://www.mathispower4u.com
From playlist Limits
Determine Limits Using Limit Laws (Properties)
This video explains how to determine limits using limit laws or limit properties.
From playlist Limits
This video covers the properties of limits and verifies them graphically.
From playlist Limits
Limit Points In this video, I define the notion of a limit point (also known as a subsequential limit) and give some examples of limit points. Limit points are closed: https://youtu.be/b1jYloJXDYY Check out my Sequences Playlist: https://www.youtube.com/playlist?list=PLJb1qAQIrmmCuFxFs
From playlist Sequences
Describing the common laws of limits. Knowing these will greatly simplify your calculations of limits.
From playlist Life Science Math: Limits in calculus
Ex 2: Determine a Limit Numerically
This video determine a limit numerically using a table of values. Function values are generated using a graphing calculator. This limit does not exist. Complete Video List at http://www.mathispower4u.com
From playlist Limits
Computing Limits from a Graph with Infinities
In this video I do an example of computing limits from a graph with infinities.
From playlist Limits
Use Limit Laws (Properties) to Determine Limits
This video explains how to determine limits using limit laws (properties).
From playlist Limits
Real Analysis Ep 14: Closed sets
Episode 14 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about closed sets of real numbers. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://f
From playlist Math 3371 (Real analysis) Fall 2020
Real Analysis Ep 15: Closure of a set
Episode 15 of my videos for my undergraduate Real Analysis course at Fairfield University. This is a recording of a live class. This episode is about the closure of a set. Class webpage: http://cstaecker.fairfield.edu/~cstaecker/courses/2020f3371/ Chris Staecker webpage: http://faculty.f
From playlist Math 3371 (Real analysis) Fall 2020
Ahlfors-Bers 2014 "Roots of Polynomials and Parameter Spaces"
Sarah Koch (University of Michigan): In his last paper, "Entropy in Dimension One," W. Thurston completely characterized which algebraic integers arise as exp(entropy(f)), where f is a postcritically finite real map of a closed interval. On page 1 of this paper, there is a spectacular ima
From playlist The Ahlfors-Bers Colloquium 2014 at Yale
All About Closed Sets and Closures of Sets (and Clopen Sets) | Real Analysis
We introduced closed sets and clopen sets. We'll visit two definitions of closed sets. First, a set is closed if it is the complement of some open set, and second, a set is closed if it contains all of its limit points. We see examples of sets both closed and open (called "clopen sets") an
From playlist Real Analysis
What is a Manifold? Lesson 2: Elementary Definitions
This lesson covers the basic definitions used in topology to describe subsets of topological spaces.
From playlist What is a Manifold?
Limit Points (Sequence and Neighborhood Definition) | Real Analysis
Limit points, accumulation points, cluster points, whatever you call them - that's today's subject. We'll define limit points in two ways. First we'll discuss the sequence definition of a limit point of a set. Then we'll discuss the neighborhood definition of a limit point of a set. We wil
From playlist Real Analysis
Rings 13 Colimits and exactness
This lecture is part of an online course on rings and modules. We discuss the problem of when a colimit of exact sequences is exact. We show that the colimit of exact sequences is at least right exact, but give an example to show that it is not always left exact. We find some conditions u
From playlist Rings and modules
In this video, we discuss colimits and decomposition of those in ∞-categories. This is the third video in our introduction to ∞-categories and Higher Algebra. Feel free to post comments and questions at our public forum at https://www.uni-muenster.de/TopologyQA/index.php?qa=tc-lecture H
From playlist Higher Algebra
I define closed sets, an important notion in topology and analysis. It is defined in terms of limit points, and has a priori nothing to do with open sets. Yet I show the important result that a set is closed if and only if its complement is open. More topology videos can be found on my pla
From playlist Topology
Calculus 2.4a - The Limit Theorems
The Limit Theorems
From playlist Calculus Chapter 2: Limits (Complete chapter)
Stochastic Homogenization of High Contrast Media by Igor Velcic
DISCUSSION MEETING Multi-Scale Analysis: Thematic Lectures and Meeting (MATHLEC-2021, ONLINE) ORGANIZERS: Patrizia Donato (University of Rouen Normandie, France), Antonio Gaudiello (Università degli Studi di Napoli Federico II, Italy), Editha Jose (University of the Philippines Los Baño
From playlist Multi-scale Analysis: Thematic Lectures And Meeting (MATHLEC-2021) (ONLINE)