Mathematics Proofs: GCSE & A-Level

IG, Threads & YT: @ mathematics.proofs
Blogger: @geometryupdates

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

How to Generate a Parallelogram in ℝ³

#vectors #matrices #furthermaths

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

The whiteboard included in video...

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

New Youtube Video:

Deriving an Alternative Equation of a Circle Using Thales's Theorem & the Dot Product

https://t.co/19DNVsY1V0

#dotproduct #vectors #thalestheorem

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

An Introduction to Mathematical Proofs - Ellie Sleightholm

https://t.co/uGslXUccGz

#mathematicsproofs #argument #logic

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

New Youtube Video:

Proof That (AB)⁻¹ = B⁻¹A⁻¹ for Non-Singular Matrices

https://t.co/ulsATVRR8g

#matrices #matrixalgebra #vectors

[Geometry Insights @geometryupdates]

Proof that (AB)⁻¹ = B⁻¹A⁻¹.

This proof starts from the definition of a matrix inverse and uses only associativity and the identity matrix to show rigorously why the order of the inverses must be reversed.

https://t.co/QaGX7TZq7c

#mathematics #matrices #mathproofs

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

My first *interactive* public note file on Desmos.

An introduction to quadratic functions.

Link: https://t.co/k8bAypWXiX

#desmos #quadratic

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

The 'Mathematics Proofs: GCSE & A-Level' channel is based on deriving general equations used in GCSE and A-Level Mathematics.

There is no problem solving, just the derivation of the most important formulas from first principles.

Link: https://t.co/IUrpNv3uBu

#gcse #alevel

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

New Youtube Video:

How to Put a Quadratic into Vertex Form | f(x) = ax² + bx + c → a(x + b/(2a))² + c − b²/(4a)

https://t.co/KoXuAIlnEH

#vertexform #quadraticgraphs

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

Desmos has released its new Notebook feature.

This is another game changer in modern mathematics.

You can see some examples of the Notebook feature in action right here:

https://t.co/HzhyafXOTc

#graphing #desmos

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

Differentiating vector-valued functions in ℝ³ from first principles.

The derivative of

C(t) = ⟨x(t), y(t), z(t)⟩

is obtained componentwise:

C′(t) = ⟨x′(t), y′(t), z′(t)⟩

giving the instantaneous velocity vector and tangent direction to the curve.

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

How to Derive the Tangent to a Curve in ℝ³: C′(t) = ⟨x′(t), y′(t), z′(t)⟩

https://t.co/EXGDE7pgur

#differentiation

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

The surface area of a square based pyramid derived from scratch.

#gcsemaths #mathematicsproofs

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

Jay Cummings: Why Do We Prove Things In Math?

#mathematicsproofs

https://t.co/Jl8bkudd8x

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

How To Find the Normal to a Curve at x = a | Formula Proof: h(x) = (−1/f′(a))(x − a) + f(a)

#differentiation

https://t.co/QIgW5JYuZs

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

New Youtube Video:

How to Derive the Tangent Line for a Curve in ℝ²: y = f′(a)(x − a) + f(a)

https://t.co/2JhU7pHVMp

#differentiation #calculus

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

Freebie:

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

New Youtube Video:

How to Derive Vector Projection: proj_A B = ((A · B)/|A|²)A

https://t.co/hEkACZytGL

#vectors #computergraphics

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

New Youtube Video:

How to Quickly Derive the Cosine Rule, a²=b²+c²-2bccosθ, Pure Mathematics

https://t.co/8iR2DocSZG

#cosinerule #trigonometry

[Mathematics Proofs: GCSE & A-Level @mathsproofs]

New Youtube Video:

Vectors (Dot Product): How to Derive A.B=|A||B|cosθ in ℝ² From First Principles

https://t.co/tVCEEJBT2t

#dotproduct #vectors