Cubics With ± Roots
Dr Barker
Cubics With ± Roots
11:49
Subsequences of Arithmetic & Geometric Sequences
Dr Barker
Subsequences of Arithmetic & Geometric Sequences
11:35
Functional Equation Problem: Find f(4)
Dr Barker
Functional Equation Problem: Find f(4)
7:24
Beyond ½ a b sin(C)
Dr Barker
Beyond ½ a b sin(C)
19:02
A Trick for Multiplication by 7
Dr Barker
A Trick for Multiplication by 7
15:29
A Short Combinatorics Problem
Dr Barker
A Short Combinatorics Problem
5:06
Powers of Non-Diagonalisable Matrices
Dr Barker
Powers of Non-Diagonalisable Matrices
10:08
Why Is This Almost An Integer?
Dr Barker
Why Is This Almost An Integer?
9:03
Intuition Behind The Cayley Hamilton Theorem
Dr Barker
Intuition Behind The Cayley Hamilton Theorem
22:33
A Recurring Decimal Problem
Dr Barker
A Recurring Decimal Problem
18:30
A Short Functional Equation Problem
Dr Barker
A Short Functional Equation Problem
4:55
Integers as Sums of Fibonacci Numbers
Dr Barker
Integers as Sums of Fibonacci Numbers
10:24
A Nested Square Root Problem
Dr Barker
A Nested Square Root Problem
7:45
Which is Bigger? Tetration Edition
Dr Barker
Which is Bigger? Tetration Edition
7:20
Can A Function Be Continuous At Only One Point?
Dr Barker
Can A Function Be Continuous At Only One Point?
14:21
A Fibonacci Series Problem
Dr Barker
A Fibonacci Series Problem
12:42
Gaussian Integral: Infinite Series Approach
Dr Barker
Gaussian Integral: Infinite Series Approach
24:42
A Limit With A Cube Root
Dr Barker
A Limit With A Cube Root
7:12
A Factorial Product Problem
Dr Barker
A Factorial Product Problem
10:10
A Functional Equation Problem
Dr Barker
A Functional Equation Problem
7:19
A Fun Exponential Equation
Dr Barker
A Fun Exponential Equation
9:42
What Lies Above Pascal's Triangle?
Dr Barker
What Lies Above Pascal's Triangle?
25:22
An Amazing Floor & Square Root Identity
Dr Barker
An Amazing Floor & Square Root Identity
19:50
The Best Diagram for Angle Sum Identities
Dr Barker
The Best Diagram for Angle Sum Identities
5:53
A Factor Tree Puzzle
Dr Barker
A Factor Tree Puzzle
6:09
Convergence of an Interesting Series
Dr Barker
Convergence of an Interesting Series
7:28
A Tricky Roots of Cubics Problem
Dr Barker
A Tricky Roots of Cubics Problem
13:07
A Satisfying Divisibility Proof
Dr Barker
A Satisfying Divisibility Proof
6:47
Finding the Area of a Region
Dr Barker
Finding the Area of a Region
14:41
More Minimising Without Calculus
Dr Barker
More Minimising Without Calculus
15:59
Finding the Range of a Function
Dr Barker
Finding the Range of a Function
9:35
A Short Number Theory Proof
Dr Barker
A Short Number Theory Proof
6:00
A Floor & Ceiling Equation
Dr Barker
A Floor & Ceiling Equation
11:09
Minimising Without Calculus
Dr Barker
Minimising Without Calculus
5:23
Two Neat Properties of Cardioids
Dr Barker
Two Neat Properties of Cardioids
11:33
A Fun Twist on a Familiar Problem
Dr Barker
A Fun Twist on a Familiar Problem
9:01
My Favourite Golden Ratio Fact
Dr Barker
My Favourite Golden Ratio Fact
6:29
The Quadratic Formula No One Taught You
Dr Barker
The Quadratic Formula No One Taught You
18:16
Can You Solve Without Finding x & y?
Dr Barker
Can You Solve Without Finding x & y?
6:53
A Short Number Theory Problem
Dr Barker
A Short Number Theory Problem
5:50
Similar Triangles in the Complex Plane
Dr Barker
Similar Triangles in the Complex Plane
10:26
Proving A Crazy GCD Identity
Dr Barker
Proving A Crazy GCD Identity
14:59
A Satisfying Number Theory Proof
Dr Barker
A Satisfying Number Theory Proof
7:35
Median of Medians Puzzle
Dr Barker
Median of Medians Puzzle
8:47
A Unique Proof Without Induction
Dr Barker
A Unique Proof Without Induction
9:53
Solving a Matrix Equation
Dr Barker
Solving a Matrix Equation
14:45
The Most Satisfying Proof: Product of 4 Consecutive Integers is not Square
Dr Barker
The Most Satisfying Proof: Product of 4 Consecutive Integers is not Square
8:47
Solving a Compound Inequality
Dr Barker
Solving a Compound Inequality
10:23
Solve & Sketch the Region
Dr Barker
Solve & Sketch the Region
12:48
Two Proofs of a Useful Inequality
Dr Barker
Two Proofs of a Useful Inequality
12:44
A Quick Solution Using Complex Numbers
Dr Barker
A Quick Solution Using Complex Numbers
6:22
A Simple Sequence, with Fun Consequences
Dr Barker
A Simple Sequence, with Fun Consequences
10:02
Equation of a Line in the Complex Plane
Dr Barker
Equation of a Line in the Complex Plane
8:47
Why Your Ruler is Inefficient
Dr Barker
Why Your Ruler is Inefficient
24:06
Evaluating an Infinite Series
Dr Barker
Evaluating an Infinite Series
19:37
Find all Real Solutions
Dr Barker
Find all Real Solutions
8:44
A Neat Application of Complex Numbers
Dr Barker
A Neat Application of Complex Numbers
22:13
Can You Solve This Inequality?
Dr Barker
Can You Solve This Inequality?
13:43
A Fun Definite Integral
Dr Barker
A Fun Definite Integral
7:35
A Satisfying Property of Diagonals
Dr Barker
A Satisfying Property of Diagonals
6:51
A Neat Product Inequality
Dr Barker
A Neat Product Inequality
7:38
How Many Ways Are There To Draw This Graph?
Dr Barker
How Many Ways Are There To Draw This Graph?
19:39
Factorisation using Matrices
Dr Barker
Factorisation using Matrices
25:56
A 3D Lattice Problem
Dr Barker
A 3D Lattice Problem
5:59
Rationalising the Denominator with a Cube Root
Dr Barker
Rationalising the Denominator with a Cube Root
7:31
Domain & Range Problem: Solve for a
Dr Barker
Domain & Range Problem: Solve for a
7:59
A Satisfying Combinatorics Problem
Dr Barker
A Satisfying Combinatorics Problem
7:00
Find all Integer Solutions - A Modular Arithmetic Trick
Dr Barker
Find all Integer Solutions - A Modular Arithmetic Trick
10:46
Summing Along Subsequences of the Exponential Function's Power Series
Dr Barker
Summing Along Subsequences of the Exponential Function's Power Series
16:25
Proof Using Euler's Theorem: Rational Implies Recurring
Dr Barker
Proof Using Euler's Theorem: Rational Implies Recurring
13:00
Sum of the First n Non-Square Integers
Dr Barker
Sum of the First n Non-Square Integers
12:45
Another Ridiculous Approximation?
Dr Barker
Another Ridiculous Approximation?
11:42
How Many Squares does the Diagonal of an m x n Rectangle Cross?
Dr Barker
How Many Squares does the Diagonal of an m x n Rectangle Cross?
10:08
Find the Coefficient of x^105 in this Product
Dr Barker
Find the Coefficient of x^105 in this Product
14:52
Two Unusual Proofs: Partial Sum of a Geometric Series
Dr Barker
Two Unusual Proofs: Partial Sum of a Geometric Series
11:10
An Underrated Trick for Solving Equations | The Half-Angle Substitution
Dr Barker
An Underrated Trick for Solving Equations | The Half-Angle Substitution
12:51
Can You Sketch This Region?
Dr Barker
Can You Sketch This Region?
15:41
Where Did This Result Come From?
Dr Barker
Where Did This Result Come From?
14:45
Interior & Boundary Points of Convex Sets in ℝ²
Dr Barker
Interior & Boundary Points of Convex Sets in ℝ²
11:29
Can Numbers Like These Be Square?
Dr Barker
Can Numbers Like These Be Square?
7:29
Solve this Complex Equation
Dr Barker
Solve this Complex Equation
15:35
Are There Any Integer Solutions?
Dr Barker
Are There Any Integer Solutions?
7:27
How Many Points Uniquely Define a Triangle?
Dr Barker
How Many Points Uniquely Define a Triangle?
15:44
How Many Solutions? A General Approach
Dr Barker
How Many Solutions? A General Approach
11:32
Can You Sketch This Graph?
Dr Barker
Can You Sketch This Graph?
15:43
Arithmetico-Geometric Sequences
Dr Barker
Arithmetico-Geometric Sequences
12:31
Last Digits of Fifth Powers
Dr Barker
Last Digits of Fifth Powers
6:28
Polar Equations of Polygons
Dr Barker
Polar Equations of Polygons
14:13
Consecutive Powers of 2 & 3
Dr Barker
Consecutive Powers of 2 & 3
11:00
Counting Paths in Trees
Dr Barker
Counting Paths in Trees
13:45
Find all Positive Integer Solutions
Dr Barker
Find all Positive Integer Solutions
11:17
Differentiating x^{1/n} from First Principles without Power Series
Dr Barker
Differentiating x^{1/n} from First Principles without Power Series
10:36
How to Avoid the Fibonacci Numbers
Dr Barker
How to Avoid the Fibonacci Numbers
9:54
A Neat Simplification using Complex Numbers
Dr Barker
A Neat Simplification using Complex Numbers
14:20
How Do They Come Up With This Stuff?
Dr Barker
How Do They Come Up With This Stuff?
17:09
Find all Integer Solutions
Dr Barker
Find all Integer Solutions
19:55
Very Special Triangles
Dr Barker
Very Special Triangles
19:07
Easily Remember These Exact Values of Trig Functions
Dr Barker
Easily Remember These Exact Values of Trig Functions
11:53
What about this Definition?
Dr Barker
What about this Definition?
8:09
How Many Real Solutions?
Dr Barker
How Many Real Solutions?
11:05