Videos

Video thumbnail for ❖ Four Basic Proof Techniques Used in Mathematics ❖
22:38
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❖ Four Basic Proof Techniques Used in Mathematics ❖

Part 1: https://youtu.be/KRLBya7x5ZQ Extra Proof by Contradiction with some death intrigue (huh?!) https://www.youtube.com/watch?v=rOGqq1O1rzI&feature=youtu.be New to proving mathematical statements and theorem? I this video I prove the statement 'the sum of two consecutive numbers is odd' using direct proof, proof by contradiction, proof by ...
YouTube
· Sep 25, 2017
Video thumbnail for Discrete Math Proofs in 22 Minutes (5 Types, 9 Examples)
22:09
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Discrete Math Proofs in 22 Minutes (5 Types, 9 Examples)

We look at direct proofs, proof by cases, proof by contraposition, proof by contradiction, and mathematical induction, all within 22 minutes. This video includes 9 examples: 3 for direct, 2 for proof by cases, 1 for proof by contraposition, 2 for proof by contradiction, and 1 for mathematical induction. #DiscreteMath #MathProofs #Proofs Visit ...
YouTube
· Dec 13, 2023
Video thumbnail for Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 1 )
07:32
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Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 1 )

In this tutorial I show how to do a proof by mathematical induction. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
YouTube
· Jan 22, 2013
Video thumbnail for Methods of Proof | A-level Mathematics
13:35
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Methods of Proof | A-level Mathematics

The four main types of proof you need to be familiar with in A-level mathematics: - proof by deduction - proof by exhaustion - proof by counter-example - proof by contradiction ️ ️ ️ Support the channel ️ ️ ️ https://www.youtube.com/channel/UCf89Gd0FuNUdWv8FlSS7lqQ/join 100 greatest theorems of all time - http://pirate.shu.edu ...
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· Feb 4, 2021
Video thumbnail for DIRECT PROOFS - DISCRETE MATHEMATICS
07:24
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DIRECT PROOFS - DISCRETE MATHEMATICS

We introduce proofs by looking at the most basic type of proof, a direct proof. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: https://www.youtube.com/playlist?list ...
YouTube
· Dec 22, 2014
Video thumbnail for Geometry Proofs Explained! Triangle Congruence
09:43
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Geometry Proofs Explained! Triangle Congruence

On this lesson, we will work through several triangle congruence Geometry Proofs Examples and you will learn how to complete two column proofs and triangle congruence proofs step by step! For more MashUp Math content, visit http://www.mashupmath.com and join our free mailing list! :) This lesson answers the questions: How can I prove that two ...
YouTube
· Jan 4, 2016
Video thumbnail for Step-By-Step Guide to Proofs | Ex: product of two evens is even
18:41
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Step-By-Step Guide to Proofs | Ex: product of two evens is even

How do you prove a mathematical claim? This video provides a step-by-step process to help you prove simple, direct proofs. We begin with the assumption, apply the definition, do some manipulations, apply the definition of the conclusion, and finish at the conclusion. We will investigate the claim "the sum of two even integers is even" as a ...
YouTube
· Jun 2, 2017
Video thumbnail for 9 tips to help you PROVE MATH THEOREMS
15:07
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9 tips to help you PROVE MATH THEOREMS

How can you prove math theorems? How do you begin? What are the types of logical arguments you can use? How do you get unstuck when you don't know what to do? In this video i'm going to walk through a series of tips and tricks to help you prove mathematical theorems. We'll talk about the logical structure, and contrast proof methods like direct ...
YouTube
· Jul 5, 2020
Video thumbnail for Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 2 )
10:08
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Proof by Mathematical Induction - How to do a Mathematical Induction Proof ( Example 2 )

In this tutorial I show how to do a proof by mathematical induction. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
YouTube
· Aug 6, 2013
Video thumbnail for Discrete Math - 5.1.1 Proof Using Mathematical Induction - Summation Formulae
23:24
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Discrete Math - 5.1.1 Proof Using Mathematical Induction - Summation Formulae

An introduction to the method of proof using mathematical induction. Each proof in this video verifies a summation formula. Video Chapters: Introduction 0:00 Understanding Proof by Mathematical Induction 0:07 Prove the Summation Formula for i 2:38 Another Proof by Mathematical Induction 10:00 Conjecture a Summation Formula 15:40 Prove the ...
YouTube
· Mar 16, 2020
Video thumbnail for How to do a PROOF in SET THEORY - Discrete Mathematics
16:30
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How to do a PROOF in SET THEORY - Discrete Mathematics

We learn how to do formal proofs in set theory using intersections, unions, complements, and differences. 0:00 - [Intro] 0:49 - [Language of Set Theory] 3:31 - [Proof #1] 6:15 - [Proof #2] 11:12 - [Proof #3] 14:25 - [Proof #4] #SetTheory #Proofs #DiscreteMath Support me on Patreon: http://bit.ly/2EUdAl3 Visit my website: http://bit.ly/1zBPlvm ...
YouTube
· Sep 9, 2021
Video thumbnail for Proof by Mathematical Induction First Example
06:19
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Proof by Mathematical Induction First Example

This is an example of a proof by math induction
YouTube
· Oct 21, 2015
Video thumbnail for Proof by induction | Sequences, series and induction | Precalculus | Khan Academy
09:23
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Proof by induction | Sequences, series and induction | Precalculus | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra-home/alg-series-and-induction/alg-induction/v/proof-by-induction Proving an expression for the sum of all positive integers up to and including n by induction Watch the next lesson: https://www.khanacademy ...
YouTube
· Aug 12, 2011
Video thumbnail for Proof by Contradiction | Method & First Example
09:00
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Proof by Contradiction | Method & First Example

Proof by Contradiction is one of the most important proof methods. It is an indirect proof technique that works like this: You want to show a statement P is true. First assume the P is actually false. Then manipulate until you get a contradiction like 0=1. This means your assumption that P was false is incorrect and so P is true. QED. In this ...
YouTube
· Jun 13, 2017
Video thumbnail for [Discrete Mathematics] Direct Proofs Examples
06:59
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[Discrete Mathematics] Direct Proofs Examples

In this video we tackle a divisbility proof and then prove that all integers are the difference of two squares. LIKE AND SHARE THE VIDEO IF IT HELPED! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m ...
YouTube
· Jan 1, 2009
Video thumbnail for Discrete Math - 1.7.1 Direct Proof
09:44
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Discrete Math - 1.7.1 Direct Proof

This is the first of several videos exploring methods of proof. In this video we will focus on direct proof by assuming "p" is true, then showing that "q" must also be true. Video Chapters: Introduction 0:00 What is Direct Proof? 0:06 Direct Proof Practice 1 0:50 Direct Proof Practice 2 6:01 Up Next 9:28 Textbook: Rosen, Discrete Mathematics ...
YouTube
· Feb 27, 2020
Video thumbnail for Discrete Math - 1.8.1 Proof by Cases
18:46
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Discrete Math - 1.8.1 Proof by Cases

Exploring a method of proof by exhaustion known as proof by cases. Video Chapters: Introduction 0:00 What is a Proof by Cases? 0:10 Proof by Cases Example 1 2:27 Proof by Cases Example 2 (Implication) 4:52 Proof by Cases Example 3 (Challenging) 9:25 Up Next 18:34 Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https ...
YouTube
· Feb 29, 2020
Video thumbnail for Mathematical Induction Practice Problems
18:08
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Mathematical Induction Practice Problems

This precalculus video tutorial provides a basic introduction into mathematical induction. It contains plenty of examples and practice problems on mathematical induction proofs. It explains how to prove certain mathematical statements by substituting n with k and the next term k + 1. Examples include arithmetic sequences and exponents ...
YouTube
· Feb 20, 2018
Video thumbnail for Proof by Contrapositive | Method & First Example
03:38
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Proof by Contrapositive | Method & First Example

Learning objective: prove an implication by showing the contrapositive is true. This video is part of a Discrete Math course taught at the University of Cincinnati. BECOME A MEMBER: Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS & MERCH I LOVE: My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett
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· Jun 13, 2017
Video thumbnail for Discrete Math - 1.7.2 Proof by Contraposition
06:39
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Discrete Math - 1.7.2 Proof by Contraposition

Continuing our study of methods of proof, we focus on proof by contraposition, or proving the contrapositive in order to show the original implication is true. Video Chapters: Introduction 0:00 What is Proof By Contraposition? 0:07 Proof by Contraposition Practice 1 0:52 Proof by Contraposition Practice 2 3:50 Up Next 6:31 Textbook: Rosen ...
YouTube
· Feb 27, 2020
Video thumbnail for Discrete Math - 5.1.2 Proof Using Mathematical Induction - Inequalities
09:53
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Discrete Math - 5.1.2 Proof Using Mathematical Induction - Inequalities

More practice on proof using mathematical induction. These proofs all prove inequalities, which are a special type of proof where substitution rules are different than those in equations. Video Chapters: Introduction 0:00 Proving our First Inequality 0:09 Proving our Second Inequality 4:47 Up Next 9:44 Textbook: Rosen, Discrete Mathematics and ...
YouTube
· Mar 16, 2020
Video thumbnail for Proof by Mathematical Induction (Precalculus - College Algebra 73)
22:35
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Proof by Mathematical Induction (Precalculus - College Algebra 73)

How to prove summation formulas by using Mathematical Induction. Support: https://www.patreon.com/ProfessorLeonard Professor Leonard Merch: https://professor-leonard.myshopify.com
YouTube
· Dec 2, 2020
Video thumbnail for Two Column Proofs of Congruent Segments - Midpoints, Substitution, Division & Addition Property
15:15
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Two Column Proofs of Congruent Segments - Midpoints, Substitution, Division & Addition Property

This geometry video tutorial explains how to do two column proofs for congruent segments. It covers midpoints, the substitution property of congruence and the addition & division property of equality. This video on segment proofs contains plenty of examples and practice problems. Geometry Introduction: https://www.youtube.com/watch?v ...
YouTube
· May 16, 2019
Video thumbnail for LOGIC | Proposition | Method of Proof | LECTURE 04 | DISCRETE MATHEMATICS | PRADEEP GIRI SIR
24:30
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LOGIC | Proposition | Method of Proof | LECTURE 04 | DISCRETE MATHEMATICS | PRADEEP GIRI SIR

LOGIC | Proposition | Method of Proof | LECTURE 04 | DISCRETE MATHEMATICS | PRADEEP GIRI SIR #logic #discretemathematics #truthtable #methodofproof #engineering #pradeepgirisir Telegram link : https:/t.me/pradeepgiriacademy Instagram Link:https://www.instagram.com/pradeepgiri3334/ Pradeep Giri Update : https://www.youtube.com/results?search ...
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· Aug 31, 2023
Video thumbnail for How to do a Geometry Proof – Step-by-Step Lesson
27:05
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How to do a Geometry Proof – Step-by-Step Lesson

How to do a geometry proof. For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quizzes. All courses developed and taught by me (experienced and certified math ...
YouTube
· Nov 18, 2022
Video thumbnail for How To Write GEOMETRY PROOFS | Segments and Angles | Geometry Online Lesson
08:37
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How To Write GEOMETRY PROOFS | Segments and Angles | Geometry Online Lesson

Learn how to write geometry proofs in 8 minutes! Follow easy step-by-step instructions on how to write two column proof with line segments and angles (parallel lines and triangle proofs are coming soon)! I'll also show you how to prove the vertical angle theorem. Also watch out for a pretty useful list of theorems and postulates you should know ...
YouTube
· Dec 2, 2020
Video thumbnail for PROOF by CONTRADICTION - DISCRETE MATHEMATICS
09:36
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PROOF by CONTRADICTION - DISCRETE MATHEMATICS

We take a look at an indirect proof technique, proof by contradiction. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: https://www.youtube.com/playlist?list ...
YouTube
· May 18, 2015
Video thumbnail for MATHEMATICAL INDUCTION - DISCRETE MATHEMATICS
13:54
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MATHEMATICAL INDUCTION - DISCRETE MATHEMATICS

We introduce mathematical induction with a couple basic set theory and number theory proofs. #DiscreteMath #Mathematics #Proofs #Induction Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete ...
YouTube
· Dec 26, 2014
Video thumbnail for Proof: Triangle Inequality Theorem | Real Analysis
05:30
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Proof: Triangle Inequality Theorem | Real Analysis

The absolute value of a sum is less than or equal to the sum of the absolute values for any two real numbers. That is: |a+b| is less than or equal to |a|+|b|. This is called the triangle inequality. It's very useful in real analysis and we'll prove it in today's lesson! The name of the theorem is explained a little below. If we considered a ...
YouTube
· Jul 15, 2020
Video thumbnail for Discrete Math - 1.7.3 Proof by Contradiction
09:40
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Discrete Math - 1.7.3 Proof by Contradiction

Exploring a method of proof known as contradiction where we assume p and not q, then work to show either if p then q or if not q then not p. Video Chapters: Introduction 0:00 What is Proof by Contradiction? 0:07 Proof by Contradiction with One Proposition 1:32 Contradiction Using an Implication 6:00 Up Next 9:29 Textbook: Rosen, Discrete ...
YouTube
· Feb 28, 2020
Video thumbnail for Triangle Congruence Theorems, Two Column Proofs, SSS, SAS, ASA, AAS Postulates, Geometry Problems
50:27
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Triangle Congruence Theorems, Two Column Proofs, SSS, SAS, ASA, AAS Postulates, Geometry Problems

This geometry video tutorial provides a basic introduction into triangle congruence theorems. It explains how to prove if two triangles are congruent using the SSS, SAS, ASA, and AAS postulate using two column proofs. Here is a list of topics contained in the statements and reasons of the two column proofs: Definition of midpoints, reflexive ...
YouTube
· Aug 28, 2017
Video thumbnail for Discrete Math II - 5.1.1 Proof by Mathematical Induction
13:01
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Discrete Math II - 5.1.1 Proof by Mathematical Induction

Though we studied proof by induction in Discrete Math I, I will take you through the topic as though you haven't learned it in the past. The premise is that we prove the statement or conjecture is true for the least element in the set, then show that if the statement is true for the kth element, it is true for the (k+1)th element. We will go ...
YouTube
· Jul 1, 2022
Video thumbnail for Triangle Congruence Proofs Practice with CPCTC!
09:06
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Triangle Congruence Proofs Practice with CPCTC!

On this lesson, we will work through several triangle congruence Geometry Proofs Examples that focus on isosceles triangles, cpctc, the base angle theorem, reflexive property, segment bisector, and the addition postulate and you will learn how to complete two column proofs and triangle congruence proofs step by step! For more MashUp Math ...
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· Oct 7, 2015
Video thumbnail for Proving Parallelograms With Two Column Proofs - Geometry
20:51
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Proving Parallelograms With Two Column Proofs - Geometry

This geometry video tutorial provides a basic introduction into two column proofs with parallelograms. It explains the different ways of proving parallelograms. Here are five ways: 1. opposite sides must be parallel. 2. Opposite sides must be congruent. 3. opposite angles must be congruent. 4. 1 opposite side may be both parallel and congruent ...
YouTube
· Dec 25, 2017
Video thumbnail for Proof of fundamental theorem of calculus | AP Calculus AB | Khan Academy
14:00
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Proof of fundamental theorem of calculus | AP Calculus AB | Khan Academy

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-ab/ab-integration-new/ab-integration-optional/v/proof-of-fundamental-theorem-of-calculus The first part of the fundamental theorem of calculus tells us that if we define _(_) to be the definite integral ...
YouTube
· Jan 1, 2009
Video thumbnail for WRITING DIRECT AND INDIRECT PROOF || GRADE 8 MATHEMATICS Q2
34:03
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WRITING DIRECT AND INDIRECT PROOF || GRADE 8 MATHEMATICS Q2

‼️SECOND QUARTER‼️ 🟡 GRADE 8: WRITING DIRECT AND INDIRECT PROOF 🟡 GRADE 8 PLAYLIST First Quarter: https://tinyurl.com/yxug7jv9 Second Quarter: https://tinyurl.com/yy4c6abo Third Quarter: https://tinyurl.com/3vu5fceh Fourth Quarter: https://tinyurl.com/3yktzfw5 Don't forget to subscribe. ️ LIKE and FOLLOW us here! 👍👍👍 ...
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· Mar 2, 2021
Video thumbnail for ❖ Proof by Induction ❖
06:30
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❖ Proof by Induction ❖

Understanding Proof by Induction: Step-by-Step Guide to This Essential Proof Technique In this video, we'll explore the fundamental proof technique known as proof by induction. I'll walk you through how to construct the basis step, where we establish that the statement is true for an initial value, and then move to the induction step. In the ...
YouTube
· Aug 3, 2010
Video thumbnail for PROOF by CONTRAPOSITION - DISCRETE MATHEMATICS
07:21
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PROOF by CONTRAPOSITION - DISCRETE MATHEMATICS

We look at an indirect proof technique, Proof by Contraposition. Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW *--Playlists--* Discrete Mathematics 1: https://www.youtube.com/playlist?list=PLDDGPdw7e6Ag1EIznZ-m-qXu4XX3A0cIz Discrete Mathematics 2: https://www.youtube.com/playlist?list ...
YouTube
· Dec 24, 2014
Video thumbnail for Discrete Math II - 5.2.1 Proof by Strong Induction
16:22
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Discrete Math II - 5.2.1 Proof by Strong Induction

In this video we learn about a proof method known as strong induction. This is a form of mathematical induction where instead of proving that if a statement is true for P(k) then it is true for P(k+1), we prove that if a statement is true for all values from 1 to k (or whatever your starting value is), it is true for P(k+1). Video Chapters ...
YouTube
· Jul 2, 2022
Video thumbnail for Geometry, Two Column Proofs of Angles - Addition, Substitution & Transitive Property
11:41
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Geometry, Two Column Proofs of Angles - Addition, Substitution & Transitive Property

This geometry video tutorial provides a basic introduction into two column proofs with angles. It covers the addition and subtraction property of equality as well as the substitution and transitive property of congruence. It also covers vertical angles, angle supplements and more. This video contains plenty of examples and practice problems on ...
YouTube
· Sep 18, 2017
Video thumbnail for how to easily write the epsilon-delta proofs for limits
08:28
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how to easily write the epsilon-delta proofs for limits

This calculus tutorial shows 2 examples of using the epsilon-delta definition to prove limits! Writing the epsilon-delta proof for a limit is usually considered to be the hardest topic when you first start learning calculus, especially at a college or university level. Hope this video gives you a better insight and my 4-step blueprint gives you ...
YouTube
· Nov 17, 2020
Video thumbnail for Limit proofs w/ the epsilon-delta definition! (linear, square root, and quadratic examples)
15:21
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Limit proofs w/ the epsilon-delta definition! (linear, square root, and quadratic examples)

Here's the easy way to write epsilon-delta proofs for limits. Usually, the epsilon-delta definition is taught in college calculus 1 (or real analysis in upper-division pure math but not in AP calculus). I think it is the hardest topic in Calculus 1. Let me know what you think! Check out the Introduction to εδ definition of the limit 👉 ...
YouTube
· Jan 16, 2022
Video thumbnail for Proof of the Circle Theorems
19:24
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Proof of the Circle Theorems

Proving the Circle Theorems: the proof that an angle in a semi circle is 90 degrees' the proof that the angle at the centre is twice the angle at the circumference, the proof that angles in the same segment are equal, the proof that opposite angles in a cyclic quadrilateral add to 180 degrees and the proof of the alternate segment theorem. For ...
YouTube
· Jul 15, 2020
Video thumbnail for Proof by Contradiction | Explanation + 5 Examples
22:19
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Proof by Contradiction | Explanation + 5 Examples

In this video, I explain the basic idea of the proof by contradiction method. Then I show 5 examples of using proof by contradiction to prove some propositions. Thanks for watching! Comment below with questions, and make sure to keep flexin' those brain muscles! Facebook: https://www.facebook.com/braingainzofficial Instagram: https://www ...
YouTube
· Feb 14, 2020
Video thumbnail for Proof - The Three Types of Proof - A-Level Maths
06:32
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Proof - The Three Types of Proof - A-Level Maths

In this video, we look at the three different types of proof - direct proof, proof by counter-example and proof by exhaustion. This is the first episode in our A-Level Maths series. My Twitter: https://twitter.com/ImStuckYoutube?lang=en http://imstuck.wix.com/imstuckgcserevision
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· Feb 3, 2018
Video thumbnail for Proof by Induction | Explanation + 3 Examples
26:50
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Proof by Induction | Explanation + 3 Examples

In this video, I explain the proof by induction method and show 3 examples of induction proofs! :D Instagram: https://www.instagram.com/braingainzofficial
YouTube
· Apr 13, 2020
Video thumbnail for Induction Inequality Proof: 3^n is greater than or equal to 2n + 1
08:49
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Induction Inequality Proof: 3^n is greater than or equal to 2n + 1

Induction Inequality Proof: 3^n is greater than or equal to 2n + 1 If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that you can help support my channel:) Consider becoming a member ...
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· Nov 2, 2020
Video thumbnail for Proofs with Rules of Inference 1 (Propositional Logic for Linguists 15)
07:16
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Proofs with Rules of Inference 1 (Propositional Logic for Linguists 15)

YouTube
· Mar 14, 2019
Video thumbnail for 7.1 Proof by Induction 1: Standard Examples - Advanced Higher Maths Lessons @MrThomasMaths
51:33
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7.1 Proof by Induction 1: Standard Examples - Advanced Higher Maths Lessons @MrThomasMaths

Here is Advanced Higher Maths, Chapter 7 – Proof by Induction Lesson 1 of 2 : Proof by Induction 1 A special thanks to Grace, Ryan and Connor for kindly providing me with a unique musical intro… 130 videos have now been uploaded to guide you through the Advanced Higher Maths course and each video includes an explanation along with plenty of ...
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· Jul 31, 2021
Video thumbnail for Intro To Math Proofs (Full Course)
02:20:51
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Intro To Math Proofs (Full Course)

This is my full introductory math proof course called "Prove it like a Mathematician" (Intro to mathematical proofs). I hope you enjoy it! For any corrections, please see the video description. Support me by becoming a channel member: https://www.youtube.com/channel/UChVUSXFzV8QCOKNWGfE56YQ/join TIMESTAMPS 0:00 What's a Proof 10:44 Logical ...
YouTube
· Aug 5, 2024