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Mathematics Proofs - GCSE & A Level @UCFvYoHEU_3x5LKyQq6t55_g@youtube.com

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Watch video tutorials on how to derive GCSE and A Level math


05:25
Vectors: How to Quickly Generate a Line Between Two Points on Desmos 3D
04:31
Deriving and Understanding |(x - a) + i(y - b)| = d, Complex Numbers & Circles
05:46
Finding the Midpoint Between Two Points Using Vectors ((x₁ + x₂) / 2, (y₁ + y₂) / 2)
07:54
Deriving (x - x₁) / (x₂ - x₁) = (y - y₁) / (y₂ - y₁) = (z - z₁) / (z₂ - z₁) | 3D Equation of a Line
03:02
Completing The Square: A clever visual way to show that (x + a/2)² - (a/2)² = x(x + a) = x² + ax
00:10
Math Animations: Cardioid, Cycloid and Deltoid in Sync #mathanimations #trigonometry
13:57
Pythagoras' Theorem and Egyptian Tangram: The 345 and 12345 Design, Mathemagic, 3²+4²=5²
08:02
The Very Special 1, 2, 3, 4, 5 Egyptian Tangram and its Connection to the 3-4-5 Right Triangle #math
01:56
The 3-4-5 Right Triangle Constructed on Squared Paper in 27 Mins #PythagorasTheorem #Pythagoras
03:18
How to Derive the General Equation of a Straight Line ax+by+c=0 through y=mx+c #linearalgebra
05:10
How to Derive Equation of Line (x/a)+(y/b)=1 in Terms of x and y Intercept, a≠0, b≠0.
03:06
Complex Analysis: How to Graph the Julia Set Fractal on Desmos #desmos #mathart #fractalart
03:11
Complex Analysis: How to Graph the Mandelbrot Set Fractal on Desmos #desmos #mathart #fractalart
03:16
Microsoft Excel: How to Quickly Organise and Sum Up Expense Data Using the Pivot Table Feature
05:34
Complex Analysis: |z/|z||=|z|/|z|=1 when z=x+iy and x²+y²≠0 proof #complexnumbers
08:32
Reverse Triangle Inequality: ||x|-|y||≤|x-y| is true because -|x-y|≤|x|-|y|≤|x-y| #realanalysis
05:54
Real Analysis: How to show that for |x-a|≤r, a-r≤x≤a+r. #inequalities #math #alevelmaths
02:03
Desmos Tips: How to Create a 3D Array on Desmos and what L.x, L.y and L.z Stand For #Desmos #Arrays
01:16
Desmos Tips: How to Create a 2D Array on Desmos #desmos #graphing #math
01:04
Desmos Tricks: How to Create the Sequence of Triangular Numbers on Desmos #desmos #triangularnumbers
01:06
Desmos Tricks: How to Separate the Even Numbers from the Odd Numbers in a List #desmos #math
01:19
Desmos Tricks: How to Create the Fibonacci Sequence on Desmos #fibonaccisequence #math
07:06
How to Sum Up All Integers 1 to n using The Reverse Summation Method S=[n(n+1)]/2 #gauss
09:04
The Alternate Segment Theorem - Full Geometric Proof #algebra #geometry #alternatesegmenttheorem
01:08
Expanding (x+y)^3 using the CASIO fx-CG500 Calculator #Casio #scientificcalculator #calculator
05:08
A Line Passing through (a, b) Perpendicular to y=mx+c is y=(1/m)*(a-x)+b #linearalgebra #visualmath
07:38
Visual Mathematics: Why the Product of Two Perpendicular Gradients m and -1/m is Equal to -1
12:54
How to Reverse Engineer a Quadratic Sequence of the Form f(n)=an^2+bn+c and Find Its Solutions
07:50
How to show that a+ar+ar^2+ar^3+... converges to a/(1-r) using a clever visual proof #convergence
10:06
How to Find the Turning Point of a Curve y=x^2+bx+c by Completing The Square #GCSEMaths #ALevelMaths
06:59
How to Derive the Cosine Rule using The Chord Theorem and Thales's Theorem #VisualMath #Trigonometry
08:04
Geometry: How to Prove The Chord Theorem, ab=cd, Full Explanation #circletheorem #visualmath
06:22
Circle Theorems: Angles Subtended by the same Arc at the Circumference are Equal, Geometric Proof
09:26
How to find the Derivative of the Area of a Circle with respect to its Radius, dA/dr=2πr
06:57
Signed Distance Fields: How to get the Distance from a Point to a Line, d=(ma+c-b)/√(1+m^2)
08:55
Pythagoras' Theorem: How to Prove a^2+b^2=c^2 using Thales's Theorem
04:40
|a-b|²=(a-b)²=|a|²+|b|²-2ab - Vector Proof - A-Level Mathematics
01:45
If a≡b(modm), then ka≡kb(modm): Modular Congruence - Further Pure Mathematics 2, Proof
03:00
If a|b and a|c, this implies that a|bn+cm for all a, b, c, m, n ∈ Z where a≠0 #FP2 #mathsproof
05:20
Given that a≡b(modm), aⁿ≡bⁿ(modm) [Mathematical Induction Proof for Further Pure Mathematics 2]
03:16
How to Prove that an Identity Element of a Set G under a Binary Operation must be Unique, #FP2
06:24
Introduction: Properties of Binary Operations to Define a Group, Further Pure Mathematics 2 #fp2
02:43
a≡b(modm), b≡c(modm) so a≡c(modm) - Modular Congruence Proof - Further Pure Mathematics 2
03:01
x≡a(modm), y≡b(modm) so xy≡(ab)(modm) Modular Congruence Proof - Further Pure Mathematics 2
03:00
x≡a(modm), y≡b(modm) so x+y≡(a+b)(modm) Modular Congruence Proof - Further Pure Mathematics 2
06:20
How to Use The Euclidean Algorithm to Find The Greatest Common Divisor of Pairs of Numbers FP2
04:38
How to Find The Greatest Common Factor of Two Numbers (GCSE Mathematics) #venndiagram #primenumbers
10:45
How to Show That The Surface Area of a Cuboid is: S(l, w, h)=2(l(w+h)+wh) [GCSE, Geometric Proof]
10:24
The Power of Primes: How to Find The Least Common Multiple using Prime Factorisation (GCSE Maths)
00:34
Recursive Mathematics Art: The Koch Snowflake Constructed on Python #mathart #algorithmicart
05:41
An Alternative Way to Show That cos(θ-Φ)=cosθcosΦ+sinθsinΦ
03:02
How to Derive the Length of the Arc of a Circle, Using Degrees #math #trigonometry #geometry
01:01
A Star Polygon Algorithm for an Odd Number of Points #polygons #math #algorithms
04:01
The QUICKEST way to derive the Inverse Pythagorean Theorem (The sin²x+cos²x=1 Method) #pythagoras
05:46
Find Angle - How to Solve Basic Pythagoras 3D Problem - GCSE Maths #gcsemaths
01:02
Rotating #Dodecahedron put on Desmos #graphjacking #rigidbodydynamics #platossolids
05:29
Corresponding, Opposite, Alternate, Acute, Obtuse and Reflex Angles Explained
01:15
Short Review: Helix® Oxford 15cm Geometry Set
04:27
Number of Sides N=(S/π)+2 When Given the Sum of the Interior Angles of a Regular Polygon
07:25
How to Derive The Surface Area of a Tetrahedron using Geometry and Algebra #pythagoras