Binomial theorem – Videos

List of Video Titles

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Prologue to Binomial Theorem (Arrangements)
Basic Binomial Expansions
Binomial Expansion: Simple Examples
Binomial Theorem & Pascal’s Triangle
Binomial Theorem: Introductory Exercises
Tricky Permutations & Combinations Question
Proving Binomial Identities
Finite Series w/ Binomial Coefficients: Substitution
Finite Series w/ Binomial Coefficients: Differentiation
Finite Series w/ Binomial Coefficients: Integration (1 of 2)
Finite Series w/ Binomial Coefficients: Integration (2 of 2)
Binomial Identities: Pascal Example
Greatest Coefficient in Binomial Expansion
Evaluating Specific Binomial Coefficients
Evaluating Coefficients From Two Expansions
Proving Binomial Identities: Comparing Coefficients
Probability Question: With & Without Binomial
Pascal’s Identity (1 of 2)
Pascal’s Identity (2 of 2)
Expressing Terms in a Generalised Binomial Expansion
The Properties of Pascal’s Triangle in nCr Notation
Introduction to nCr Notation
How are Binomial Coefficients related to Pascal’s Triangle?
The Weirdness of Pascal’s Triangle
An ingenious & unexpected proof of the Binomial Theorem (1 of 2: Prologue)
An ingenious & unexpected proof of the Binomial Theorem (2 of 2: Proof)
Demonstrating the Binomial Theorem from Pascal’s Triangle
Sierpinski’s Triangle
Factorials
Determining & Calculating the Greatest Term (example question)
Finding & Evaluating the Greatest Coefficient (example question)
Relating Consecutive Coefficients (and finding the greatest one)
What is the Greatest Coefficient (and why do we care about it)?
Binomial Identity with Even Coefficients Only?
Binomial / Permutations & Combinations Proof (1 of 2)
Binomial / Permutations & Combinations Proof (2 of 2)
Recognising & Substituting Part of a Binomial Expansion
Simplifying Products w/ Factorial Notation
What power of 2 is a factor of “100!”?
Identifying the Constant Term in a Binomial Expansion
Expanding Binomials Involving Substitution
Separating Rational & Irrational Components in Binomial Expansion
Stating the Binomial Theorem w/ Factorial Notation
Developing the Binomial Theorem w/ Pascal’s Triangle
Introduction to Factorial Notation (1 of 2: Why use “!”?)
Introduction to Factorial Notation (2 of 2: How to simplify factorial terms)
Shorthand Notation for nCr
Approximating a Decimal Expansion with Binomial Theorem
Why do all rows of Pascal’s triangle add to powers of 2?
Sigma Notation & Properties of Pascal’s Triangle
nCr Notation
Why Notation & Terminology Are Awesome
Binomial Expansions – Simple Example
Binomial Coefficients & Pascal’s Triangle
Evaluating Specific Binomial Coefficients (Exam Questions)
Summing Binomial Coefficients (Exam Question)
Binomial Coefficients Proof Question


 


Prologue to Binomial Theorem (Arrangements)


Basic Binomial Expansions


Binomial Expansion: Simple Examples


Binomial Theorem & Pascal’s Triangle


Binomial Theorem: Introductory Exercises


Tricky Permutations & Combinations Question


Proving Binomial Identities


Finite Series w/ Binomial Coefficients: Substitution


Finite Series w/ Binomial Coefficients: Differentiation


Finite Series w/ Binomial Coefficients: Integration (1 of 2)


Finite Series w/ Binomial Coefficients: Integration (2 of 2)


Binomial Identities: Pascal Example


Greatest Coefficient in Binomial Expansion


Evaluating Specific Binomial Coefficients


Evaluating Coefficients From Two Expansions


Proving Binomial Identities: Comparing Coefficients


Probability Question: With & Without Binomial


Pascal’s Identity (1 of 2)


Pascal’s Identity (2 of 2)


Expressing Terms in a Generalised Binomial Expansion


The Properties of Pascal’s Triangle in nCr Notation


Introduction to nCr Notation


How are Binomial Coefficients related to Pascal’s Triangle?


The Weirdness of Pascal’s Triangle


An ingenious & unexpected proof of the Binomial Theorem (1 of 2: Prologue)


An ingenious & unexpected proof of the Binomial Theorem (2 of 2: Proof)


Demonstrating the Binomial Theorem from Pascal’s Triangle


Sierpinski’s Triangle


Factorials


Determining & Calculating the Greatest Term (example question)


Finding & Evaluating the Greatest Coefficient (example question)


Relating Consecutive Coefficients (and finding the greatest one)


What is the Greatest Coefficient (and why do we care about it)?


Binomial Identity with Even Coefficients Only?


Binomial / Permutations & Combinations Proof (1 of 2)


Binomial / Permutations & Combinations Proof (2 of 2)


Recognising & Substituting Part of a Binomial Expansion


Simplifying Products w/ Factorial Notation


What power of 2 is a factor of “100!”?


Identifying the Constant Term in a Binomial Expansion


Expanding Binomials Involving Substitution


Separating Rational & Irrational Components in Binomial Expansion


Stating the Binomial Theorem w/ Factorial Notation


Developing the Binomial Theorem w/ Pascal’s Triangle


Introduction to Factorial Notation (1 of 2: Why use “!”?)


Introduction to Factorial Notation (2 of 2: How to simplify factorial terms)


Shorthand Notation for nCr


Approximating a Decimal Expansion with Binomial Theorem


Why do all rows of Pascal’s triangle add to powers of 2?


Sigma Notation & Properties of Pascal’s Triangle


nCr Notation


Why Notation & Terminology Are Awesome


Binomial Expansions – Simple Example


Binomial Coefficients & Pascal’s Triangle


Evaluating Specific Binomial Coefficients (Exam Questions)


Summing Binomial Coefficients (Exam Question)


Binomial Coefficients Proof Question


*Note: Videos are from misterwootube.com

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