In single-variable differential calculus, the fundamental increment lemma is an immediate consequence of the definition of the derivative f'(a) of a function f at a point a: The lemma asserts that the existence of this derivative implies the existence of a function such that for sufficiently small but non-zero h. For a proof, it suffices to define and verify this meets the requirements. (Wikipedia).
Calculus - The Fundamental Theorem, Part 5
The Fundamental Theorem of Calculus. How an understanding of an incremental change in area helps lead to the fundamental theorem
From playlist Calculus - The Fundamental Theorem of Calculus
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
Calculus 5.3 The Fundamental Theorem of Calculus
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
What is the Fundamental theorem of Algebra, really? | Abstract Algebra Math Foundations 217
Here we give restatements of the Fundamental theorems of Algebra (I) and (II) that we critiqued in our last video, so that they are now at least meaningful and correct statements, at least to the best of our knowledge. The key is to abstain from any prior assumptions about our understandin
From playlist Math Foundations
Prealgebra 3.03b - Simplifying Fractions
Simplifying fractions by dividing the numerator and denominator by the same number, a concept also known as the Fundamental Principle of Fractions.
From playlist Prealgebra Chapter 3 (Complete chapter)
18. Roth's theorem I: Fourier analytic proof over finite field
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX The finite field model is a nice sandbox for methods and
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Wild Weak Solutions to Equations arising in Hydrodynamics - 3/6 - Vlad Vicol
In this course, we will discuss the use of convex integration to construct wild weak solutions in the context of the Euler and Navier-Stokes equations. In particular, we will outline the resolution of Onsager's conjecture as well as the recent proof of non-uniqueness of weak solutions to t
From playlist Hadamard Lectures 2020 - Vlad Vicol and - Wild Weak Solutions to Equations arising in Hydrodynamics
FinMath L2-1: The general Ito integral
Welcome to the second lesson of Financial Mathematics! This is a course I teach in the master in applied mathematics of Delft University of Technology. I simply record my live classes to be shared online. I make use of my own lecture notes. The first chapter, which we are using in the v
From playlist Financial Mathematics
13. Sparse regularity and the Green-Tao theorem
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX After discussion of Ramanujan graphs, Prof. Zhao discusse
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Stilian Stoev: Function valued random fields: tangents, intrinsic stationarity, self-similarity
We study random fields taking values in a separable Hilbert space H. First, we focus on their local structure and establish a counterpart to Falconer's characterization of tangent fields. That is, we show (under general conditions) that the tangent fields to a H-valued process are self-sim
From playlist Probability and Statistics
Fractal Properties of Coupled Polymer Weight Profiles via Coalescence... by Shirshendu Ganguly
PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the
From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019
Wild Weak Solutions to Equations arising in Hydrodynamics - 2/6 - Vlad Vicol
In this course, we will discuss the use of convex integration to construct wild weak solutions in the context of the Euler and Navier-Stokes equations. In particular, we will outline the resolution of Onsager's conjecture as well as the recent proof of non-uniqueness of weak solutions to t
From playlist Hadamard Lectures 2020 - Vlad Vicol and - Wild Weak Solutions to Equations arising in Hydrodynamics
19. Roth's theorem II: Fourier analytic proof in the integers
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX This lecture covers Roth's original proof of Roth's theor
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Proof of the Fundamental Theorem of Calculus (Part 1)
This video proves the Fundamental Theorem of Calculus (Part 1). http://mathispower4u.com
From playlist The Second Fundamental Theorem of Calculus
20. Roth's theorem III: polynomial method and arithmetic regularity
MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019 Instructor: Yufei Zhao View the complete course: https://ocw.mit.edu/18-217F19 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62qauV_CpT1zKaGG_Vj5igX The first half of the lecture covers a surprising recent
From playlist MIT 18.217 Graph Theory and Additive Combinatorics, Fall 2019
Fundamental Principle of Counting Example 2
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Short video on how to use the fundamental rule of counting, also called the rule of product or simply the multiplication rule.
From playlist Probability and Counting
Extended Fundamental Theorem of Calculus
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Extended Fundamental Theorem of Calculus. You can use this instead of the First Fundamental Theorem of Calculus and the Second Fundamental Theorem of Calculus. - Formula - Proof sketch of the formula - Six Examples
From playlist Calculus
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
Applying the rules of exponents to simplify an expression with numbers
👉 Learn about the rules of exponents. An exponent is a number which a number is raised to, to produce a power. It is the number of times which a number will multiply itself in a power. There are several rules used in evaluating exponents. Some of the rules includes: the product rule, which
From playlist Simplify Using the Rules of Exponents