Math 131 092816 Continuity; Continuity and Compactness
Review definition of limit. Definition of continuity at a point; remark about isolated points; connection with limits. Composition of continuous functions. Alternate characterization of continuous functions (topological definition). Continuity and compactness: continuous image of a com
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
Math 131 Fall 2018 100818 Limits and Continuity in Metric Spaces
Limits of functions (in the setting of metric spaces). Definition. Rephrasal of definition. Uniqueness of limit. Definition of continuity at a point. Remark on continuity at an isolated point. Relation with limits. Composition of continuous functions is continuous. Alternate (topol
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Continuity of functions and different types of discontinuities, and the relationship between continuity and differentialbility.
From playlist Calculus Chapter 2: Limits (Complete chapter)
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Existence and Uniqueness of Solutions (Differential Equations 11)
https://www.patreon.com/ProfessorLeonard THIS VIDEO CAN SEEM VERY DECEIVING REGARDING CONTINUITY. As I watched this back, after I edited it of course, I noticed that I mentioned continuity is not possible at Endpoints. This is NOT true, as we can consider one-sided limits. What I MEANT
From playlist Differential Equations
A central limit theorem for Gaussian polynomials... pt1 -Anindya De
Anindya De Institute for Advanced Study; Member, School of Mathematics May 13, 2014 A central limit theorem for Gaussian polynomials and deterministic approximate counting for polynomial threshold functions In this talk, we will continue, the proof of the Central Limit theorem from my las
From playlist Mathematics
A central limit theorem for Gaussian polynomials...... pt2 - Anindya De
Anindya De Institute for Advanced Study; Member, School of Mathematics May 13, 2014 A central limit theorem for Gaussian polynomials and deterministic approximate counting for polynomial threshold functions In this talk, we will continue, the proof of the Central Limit theorem from my las
From playlist Mathematics
Integration by Parts and KPZ Two-Point Function by Leandro P. R. Pimentel
PROGRAM FIRST-PASSAGE PERCOLATION AND RELATED MODELS (HYBRID) ORGANIZERS: Riddhipratim Basu (ICTS-TIFR, India), Jack Hanson (City University of New York, US) and Arjun Krishnan (University of Rochester, US) DATE: 11 July 2022 to 29 July 2022 VENUE: Ramanujan Lecture Hall and online This
From playlist First-Passage Percolation and Related Models 2022 Edited
Yanghui Liu (Baruch College) -- Numerical approximations for rough differential equations
The rough paths theory provides a general framework for stochastic differential equations driven by processes with very low regularities, which has important applications in finance, statistical mechanics, hydro-dynamics and so on. The numerical approximation is a crucial step while applyi
From playlist Columbia SPDE Seminar
Math 131 100316 Continuity and Connectedness; Discontinuities; Differentiation
Continuous image of a connected set is connected; Corollary: Intermediate Value Theorem. Left and right limits; left and right continuity; simple discontinuity; monotonic functions; discontinuities of monotonic functions are always simple; discontinuities of monotonic functions are at mos
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis
How to determine if the derivative exist from the left and right of a absolute value
👉 Learn how to determine the differentiability of an absolute value function. A function is said to be differentiable if the derivative exists at each point in its domain. To check the differentiability of a function, we first check that the function is continuous at every point in the dom
From playlist Find the Derivative of Absolute Value Function
Mod-04 Lec-17 Basic Lemma and Uniqueness Theorem
Ordinary Differential Equations and Applications by A. K. Nandakumaran,P. S. Datti & Raju K. George,Department of Mathematics,IISc Bangalore.For more details on NPTEL visit http://nptel.ac.in.
From playlist IISc Bangalore: Ordinary Differential Equations and Applications | CosmoLearning.org Mathematics
Lecture 5: Zorn’s Lemma and the Hahn-Banach Theorem
MIT 18.102 Introduction to Functional Analysis, Spring 2021 Instructor: Dr. Casey Rodriguez View the complete course: https://ocw.mit.edu/courses/18-102-introduction-to-functional-analysis-spring-2021/ YouTube Playlist: https://www.youtube.com/watch?v=KlAjiDivJoQ&list=PLUl4u3cNGP63micsJp_
From playlist MIT 18.102 Introduction to Functional Analysis, Spring 2021
Regularity lemma and its applications Part I - Fan Wei
Computer Science/Discrete Mathematics Seminar II Topic: Regularity lemma and its applications Part I Speaker: Fan Wei Affiliation: Member, School of Mathematics Dater: December 3, 2019 For more video please visit http://video.ias.edu
From playlist Mathematics
What is a Lipschitz condition?
This is a basic introduction to Lipschitz conditions within the context of differential equations. Lipschitz conditions are connected with `"contractive mappings'", which have important applications to the existence, uniqueness and approximation of solutions to equations -- including ordi
From playlist Mathematical analysis and applications
Gronwall's inequality & fractional differential equations
Several general versions of Gronwall's inequality are presented and applied to fractional differential equations of arbitrary order. Applications include: yielding a priori bounds and nonumultiplicity of solutions. This presentation features new mathematical research. http://projecteucli
From playlist Mathematical analysis and applications
Continuity On an Interval Open & Closed Intervals & 1 Sided Limits Calculus 1 AB
EXAMPLES 14:14 17:30 20:54 25:55 28:00 31:38 I explain the definition of Continuity on an Open and Closed interval, Removable and Non-removable Discontinuities, the Properties of Continuity, and 1 Sided Limits. I finish by working through 6 examples to help your understanding. Check out
From playlist Calculus
Determine the Interval of Continuity of a Function (quad/trig)
This video explains how to determine the interval of continuity for a given function.
From playlist Continuity Using Limits
Lp Spaces On The Real Line part 2
Lecture with Ole Christensen. Kapitler: 00:00 - Remarks On Banach Spaces; 08:00 - Proof That Cc Is Not A Banach Space; 31:00 - Applications; 38:30 - Integral Operators;
From playlist DTU: Mathematics 4 Real Analysis | CosmoLearning.org Math