Joined September 2022
- Tweets 1,275
- Following 2
- Followers 1,171
- Likes 248
421 Photos and videos
New Youtube Video:
How to Generate a Parallelogram in ℝ³: P = A u(B − A) v(C − A), 0 ≤ u ≤ 1, 0 ≤ v ≤ 1
youtu.be/TfNkvxbBtOo
#vectors #parallelogram
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New Youtube Video:
Deriving an Alternative Equation of a Circle Using Thales's Theorem & the Dot Product
youtu.be/SPVdBOVl8OQ
#dotproduct #vectors #thalestheorem
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An Introduction to Mathematical Proofs - Ellie Sleightholm
youtu.be/ce4Jc0QmjOI?si=HGDd…
#mathematicsproofs #argument #logic
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New Youtube Video:
Proof That (AB)⁻¹ = B⁻¹A⁻¹ for Non-Singular Matrices
youtu.be/FxrqKnDD4iE?si=gfIf…
#matrices #matrixalgebra #vectors
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Mathematics Proofs: GCSE & A-Level retweeted
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.
geometryinsights.wordpress.c…
#mathematics #matrices #mathproofs
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My first *interactive* public note file on Desmos.
An introduction to quadratic functions.
Link: desmos.com/notebook/cuggufwx…
#desmos #quadratic
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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: youtube.com/@mathematics.pro…
#gcse #alevel
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New Youtube Video:
How to Put a Quadratic into Vertex Form | f(x) = ax² bx c → a(x b/(2a))² c − b²/(4a)
youtu.be/lu59nyhlnhU?si=GN88…
#vertexform #quadraticgraphs
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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:
desmos.com/gallery/1b48bb5c-…
#graphing #desmos
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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.
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How to Derive the Tangent to a Curve in ℝ³: C′(t) = ⟨x′(t), y′(t), z′(t)⟩
youtu.be/QIrCvfODQoU?si=pxhw…
#differentiation
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The surface area of a square based pyramid derived from scratch.
#gcsemaths #mathematicsproofs
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Jay Cummings: Why Do We Prove Things In Math?
#mathematicsproofs
youtu.be/2QcJB-Yl7h8?si=8I-O…
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How To Find the Normal to a Curve at x = a | Formula Proof: h(x) = (−1/f′(a))(x − a) f(a)
#differentiation
youtu.be/602EWgSM_h4?si=WoOc…
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New Youtube Video:
How to Derive the Tangent Line for a Curve in ℝ²: y = f′(a)(x − a) f(a)
youtu.be/w2UmLUKyWWw?si=4-PY…
#differentiation #calculus
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New Youtube Video:
How to Derive Vector Projection: proj_A B = ((A · B)/|A|²)A
youtu.be/HxtThcgsGTQ?si=k02F…
#vectors #computergraphics
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New Youtube Video:
How to Quickly Derive the Cosine Rule, a²=b² c²-2bccosθ, Pure Mathematics
youtu.be/M-i2mTKBPyc?si=4V0n…
#cosinerule #trigonometry
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