Math 131 Fall 2018 101218 Continuity and Connectedness; Discontinuities of Monotonic Functions
Recall definition of connected set. Theorem: continuous functions preserve connectedness. Proof by contraposition. Corollary: the Intermediate Value Theorem. Discontinuities on the real line: left-handed and right-handed limits. Left-continuous and right-continuous functions. Simple
From playlist Course 7: (Rudin's) Principles of Mathematical Analysis (Fall 2018)
Math 131 Spring 2022 022322 Continuity and Connectedness
Recall definition of connected set. Theorem: continuous image of a connected set is connected. Corollary: Intermediate Value Theorem. Proof of theorem (via contraposition). Discontinuities on R. Left limits and right limits. Simple discontinuities. Definition of monotonically increa
From playlist Math 131 Spring 2022 Principles of Mathematical Analysis (Rudin)
Continuity Basic Introduction, Point, Infinite, & Jump Discontinuity, Removable & Nonremovable
This calculus video tutorial provides a basic introduction into to continuity. It explains the difference between a continuous function and a discontinuous one. It discusses the difference between a jump discontinuity, an infinite discontinuity and a point discontinuity. A point discont
From playlist New Calculus Video Playlist
How do you find discontinuities?
In this video we talk about how to find discontinuities in a function. 0:02 How do you find the discontinuities when you have a picture of the graph of the function? // You need to look for any point where there’s any kind of hole, break, jump, asymptote, or endpoint in the graph. These w
From playlist Popular Questions
Continuity of functions and different types of discontinuities, and the relationship between continuity and differentialbility.
From playlist Calculus Chapter 2: Limits (Complete chapter)
Examples of removable and non removable discontinuities to find limits
👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump discontinuity. A discontinuity is removable when the denomin
From playlist Holes and Asymptotes of Rational Functions
Right-angled Coxeter groups and affine actions (Lecture 03) by Francois Gueritaud
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
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
What are removable and non-removable discontinuties
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance
From playlist Find the Asymptotes of Rational Functions
Hyperbolicity and Physical Measures (Lecture 2) by Stefano Luzzatto
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Hyperbolic surfaces and their Teichmüller spaces (Lecture – 03) by Subhojoy Gupta
Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b
From playlist Geometry, Groups and Dynamics (GGD) - 2017
Right-angled Coxeter groups and affine actions (Lecture 02) by Francois Gueritaud
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
Michael Farber (7/28/22): Algorithms for automated decision making and topology
Abstract: I will describe topological problems relevant to the task of creating algorithms for automated decision making. My main focus will be on motion planning algorithms in robotics although our mathematical tools are applicable to many other situations.
From playlist Applied Geometry for Data Sciences 2022
Inducing schemes for piecewise expanding maps of R^n by Peyman Eslami
PROGRAM SMOOTH AND HOMOGENEOUS DYNAMICS ORGANIZERS: Anish Ghosh, Stefano Luzzatto and Marcelo Viana DATE: 23 September 2019 to 04 October 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Ergodic theory has its origins in the the work of L. Boltzmann on the kinetic theory of gases.
From playlist Smooth And Homogeneous Dynamics
Label the discontinuity of a rational functions with coefficients
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance
From playlist Find the Asymptotes of Rational Functions
C^0 Limits of Hamiltonian Paths and Spectral Invariants - Sobhan Seyfaddini
Sobhan Seyfaddini University of California at Berkeley October 28, 2011 After reviewing spectral invariants, I will write down an estimate, which under certain assumptions, relates the spectral invariants of a Hamiltonian to the C0-distance of its flow from the identity. I will also show t
From playlist Mathematics
Corinna Ulcigrai - 2/4 Chaotic Properties of Area Preserving Flows
Flows on surfaces are one of the fundamental examples of dynamical systems, studied since Poincaré; area preserving flows arise from many physical and mathematical examples, such as the Novikov model of electrons in a metal, unfolding of billiards in polygons, pseudo-periodic topology. In
From playlist Corinna Ulcigrai - Chaotic Properties of Area Preserving Flows
Right-angled Coxeter groups and affine actions ( Lecture 01) by Francois Gueritaud
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)
Determine the discontinuity of the function
👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump discontinuity. A discontinuity is removable when the denomin
From playlist Holes and Asymptotes of Rational Functions
Anosov representations: the basics and maybe more (Lecture 02) by Olivier Guichard
DISCUSSION MEETING SURFACE GROUP REPRESENTATIONS AND PROJECTIVE STRUCTURES ORGANIZERS: Krishnendu Gongopadhyay, Subhojoy Gupta, Francois Labourie, Mahan Mj and Pranab Sardar DATE: 10 December 2018 to 21 December 2018 VENUE: Ramanujan Lecture Hall, ICTS Bangalore The study of spaces o
From playlist Surface group representations and Projective Structures (2018)