H-theorem

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

BM3. Formal Proofs

Basic Methods: We define theorems and describe how to formally construct a proof. We note further rules of inference and show how the logical equivalence of reductio ad absurdum allows proof by contradiction.

From playlist Math Major Basics

Congruent Right Triangles HL Hypotenuse Leg Theorem

I introduce the Hypotenuse Leg Theorem or HL and prove it in a 2 column proof. I also work through three examples using this theorem.EXAMPLES AT 11:10 13:00 14:20 Second Version of Proof at 21:03 Find free review test, useful notes and more at http://www.mathplane.com If you'd like to m

From playlist Geometry

Preimage of Composition of Functions Set Theory Proof

Preimage of Composition of Functions Set Theory Proof If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)

From playlist Functions, Sets, and Relations

Pythagorean Theorem VII (visual proof)

This is a short, animated visual proof of an extended version of the Pythagorean theorem (the right triangle theorem) that implies the Pythagorean theorem. This theorem states the square of the hypotenuse of a right triangle is equal to the sum of squares of the two other side lengths, and

From playlist Proof Writing

The Fundamental Theorem of Calculus - Example & Proof

Fully animated explanation of proving the fundamental theorem of calculus and explaining the idea with an example.

From playlist Further Calculus - MAM Unit 3

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

Equivalence Relation on a Group Two Proofs

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relation on a Group Two Proofs. Given a group G and a subgroup H of G, we prove that the relation x=y if xy^{-1} is in H is an equivalence relation on G. Then cosets are defined and we prove that s_1 = s_2 iff [s_1] = [s

From playlist Abstract Algebra

What is the HL Theorem - Congruent Triangles

👉 Learn about congruent triangles theorems. Two or more triangles are said to be congruent if they have the same shape and size. There are many methods to determine whether two triangles are congruent. Some of the methods include: (1) The HL (Hypothenuse Leg) theorem:- The hypothenuse le

From playlist Congruent Triangles

Visual Group Theory, Lecture 4.5: The isomorphism theorems

Visual Group Theory, Lecture 4.5: The isomorphism theorems There are four central results in group theory that are collectively known at the isomorphism theorems. We introduced the first of these a few lectures back, under the name of the "fundamental homomorphism theorem." In this lectur

From playlist Visual Group Theory

Macroscopically minimal hypersurfaces - Hannah Alpert

Variational Methods in Geometry Seminar Topic: Macroscopically minimal hypersurfaces Speaker: Hannah Alpert Affiliation: Ohio State University Date: March 12, 2019 For more video please visit http://video.ias.edu

From playlist Variational Methods in Geometry

Lagrange's Theorem and Index of Subgroups | Abstract Algebra

We introduce Lagrange's theorem, showing why it is true and follows from previously proven results about cosets. We also investigate groups of prime order, seeing how Lagrange's theorem informs us about every group of prime order - in particular it tells us that any group of prime order p

From playlist Abstract Algebra

Group theory 4: Lagrange's theorem

This is lecture 4 of an online course on mathematical group theory. It introduces Lagrange's theorem that the order of a subgroup divides the order of a group, and uses it to show that all groups of prime order are cyclic, and to prove Fermat's theorem and Euler's theorem.

From playlist Group theory

Hilbert Space Techniques in Complex Analysis and Geometry (Lecture 6) by Dror Varolin

PROGRAM CAUCHY-RIEMANN EQUATIONS IN HIGHER DIMENSIONS ORGANIZERS: Sivaguru, Diganta Borah and Debraj Chakrabarti DATE: 15 July 2019 to 02 August 2019 VENUE: Ramanujan Lecture Hall, ICTS Bangalore Complex analysis is one of the central areas of modern mathematics, and deals with holomo

From playlist Cauchy-Riemann Equations in Higher Dimensions 2019

Basic Lower Bounds and Kneser's Theorem by David Grynkiewicz

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020

Rolle’s Theorem Proof

In this video, I prove Rolle’s theorem, which says that if f(a) = f(b), then there is a point c between a and b such that f’(c) = 0. This theorem is quintessential in proving the mean-value theorem in Calculus. Along the way I prove Fermat’s theorem, which says that if f has a maximum/mini

From playlist Real Analysis

Set Theory (Part 9): Isomorphism of Peano Systems

Please feel free to leave comments/questions on the video and practice problems below! In this video, I show that the Peano system involving the natural numbers models all Peano systems by showing that all such Peano systems are isomorphic to the one involving natural numbers. Along the w

From playlist Set Theory by Mathoma

Robert Lazarsfeld: Cayley-Bacharach theorems with excess vanishing

A classical result usually attributed to Cayley and Bacharach asserts that if two plane curves of degrees c and d meet in cd points, then any curve of degree (c + d - 3) passing through all but one of these points must also pass through the remaining one. In the late 1970s, Griffiths and H

From playlist Algebraic and Complex Geometry

Proof of Lemma and Lagrange's Theorem

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof of Lemma and Lagrange's Theorem. This video starts by proving that any two right cosets have the same cardinality. Then we prove Lagrange's Theorem which says that if H is a subgroup of a finite group G then the order of H div

From playlist Abstract Algebra

Kemperman's Critical Pair Theory by David Grynkiewicz

Program Workshop on Additive Combinatorics ORGANIZERS: S. D. Adhikari and D. S. Ramana DATE: 24 February 2020 to 06 March 2020 VENUE: Madhava Lecture Hall, ICTS Bangalore Additive combinatorics is an active branch of mathematics that interfaces with combinatorics, number theory, ergod

From playlist Workshop on Additive Combinatorics 2020