Post by Tiago on Jul 19, 2020 9:49:22 GMT
THE LINKS TO ALL OUR YOUTUBE VIDEOS
Basic Mathematics Skills (24):
[*]Dividing negative and positive numbers explained (3rd January, 2014)
[*]The FOIL method simplified: First, Outer, Inner, Last (3rd January, 2014)
[*]Function Problems Solved - Edexcel Revision C3 (No Sound) (15th April, 2014)
[*]Simple Surd Multiplication (3rd May, 2014)
[*]Quick (non-technical) Introduction to Pi (7th May, 2014)
[*]Decimals, Fractions & Percentages, 5% to 100% (8th May 2014)
[*]Learning how to Simplify Expressions & Collect Like Terms (12th May, 2014)
[*]Simplifying more Complex Expressions containing Positive and Negative Powers (12th May, 2014)
[*]Simplifying Extra Complex Expressions Containing Annoying Powers (13th May, 2014)
[*](a+b)(a+b)=a^2+2ab+b^2 (Real Proof Revealed) (FOIL Method Demystified) (17th May, 2014)
[*](a+b)(a-b)=a^2-b^2 (The Real Proof) (Difference Of Two Squares Demystified) (18th May, 2014)
[*](a+b+c)(d-e-f) - Proof & Expansion - A Level Maths (4th August, 2014)
[*]10^(-5) to 10^(5) Demystified (17th August, 2014)
[*]2 Long Multiplication Problems Solved (17th August, 2014)
[*]How To Write 0.083333333333... As A Fraction (EXPLAINED) (29th August, 2014)
[*]Carl Friedrich Gauss - How He Probably Came Up With His Theory (15th November, 2014)
[*]Dealing With Inverses - Shortcuts (15th November, 2014)
[*]666 In Binary - 1010011010 - As Seen In Futurama Episode (26th January, 2015)
[*]How To Approximate The Value Of The Square Root Of 2 (8th November, 2015)
[*]How To Prove That √2 x √2=2 (9th November, 2015)
[*]Expand Binomials Using Python - Download Python & Get Binomial Expansion Code (10th February, 2016)
[*]Proving that the formulas used to complete the square are valid (12th October, 2016)
[*]Animation: Doubling the area of a square (Plato's Meno) (28th March, 2017)
[/ul]
Algebra (12):
[*]How To Solve Simultaneous Equations Containing 3 Unknowns - Easy Guide (12th January, 2014)
[*]Find The Value Of X When It Becomes An Exponential Power (14th January, 2014)
[*]How To Simplify Fractions Containing Roots In The Denominator (15th April, 2014)
[*]How To Produce The Quadratic Formula From Scratch (30th April, 2014)
[*]Expanding Expressions - Algebra (12th May, 2014)
[*]Factorising Expressions - Algebra (13th May, 2014)
[*]Factorising Quadratic Expressions & Using the 'Difference of Two Squares' Method (13th May, 2014)
[*]How To Solve |2x+1|=|4x+1| (13th August, 2014)
[*]Prove that (a/b)+(c/d)=(ad+bc)/(bd) {simple explanation} (14th April, 2015)
[*]If a/b=c/d then a/b=(a+c)/(b+d) mathematical proof (5th August, 2017)
[*]If a/b=c/d, then a/b=(a+c)/(b+d) mathematical proof (quicker version) (5th August, 2017)
[/ul]
Logarithms (6):
[*]Logarithmic Fraction Proof - 2015 (9th April, 2015)
[*]log(xp)=logx+logp - Simplified Proof (9th April, 2015)
[*]Prove that log_a_(x)=1 / {log_x_(a)} (13th April, 2015)
[*]Prove that log_a(x^n)=n*log_a(x) (14th May, 2015)
[*]Prove that log_a(p/q)=log_a(p) - log_a(q) (21st September, 2016)
[/ul]
Graphing (2):
[*]Midpoint Formula Derived Using Diagram (Logical Thinking) (6th September, 2014)
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Pythagoras' Theorem (5):
[*]How To Come Up With The Distance Formula (In 2 Dimensions) From Scratch. (20th April, 2014)
[*]How To Come Up With The Distance Formula In 3 Dimensions (23rd April, 2014)
[*]Pi Approximation Trick - Calculator - Derived Using Pythagoras's Theorem (14th November, 2015)
[*]How to derive Pythagoras' equation / theorem (2 methods) (30th September, 2016)
[/ul]
Angles (2):
[*]Why two angles, each on different but parallel lines - and also split by a diagonal line are equal to one another (4th January, 2014)
[/ul]
Areas (4):
[*]Area of Trapezium Formula - Derived from Scratch (15th May, 2014)
[*]Area of Trapezium Formula - From Scratch (Version II) (15th May, 2014)
[*]Area of a sector proof using a constant of proportionality plus area of a circle (5th September, 2016)
[/ul]
Circles (2):
[*]Length of an arc formula derived from scratch (5th September, 2016)
[/ul]
Trigonometry (21):
[*]sin(A+B)=sin(A)cos(B)+cos(A)sin(B) proof - geometrical (4th January, 2014)
[*]cos(A+B)=cos(A)cos(B)-sin(A)sin(B) proof - geometrical (6th January, 2014)
[*]y=arcsinx graph - Related to C3 Mathematics Exams - Edexcel (6th January, 2014)
[*]y=arccosx graph - Related to C3, C4 Edexcel Exams (7th January, 2014)
[*]y=arctanx sketch - Related to C3 Exams (7th January, 2014)
[*]How To Come Up with The Cosine Rule From Scratch (18th April, 2014)
[*]An Alternative Sine Rule Proof - a/sinA=b/sinB=c/sinC (28th April, 2014)
[*]Areas of Triangles formula transformed (9th May, 2014)
[*]Areas of Triangles Formulas used to produce Sine Rule (9th May, 2014)
[*]tan(A+B)= (tanA + tanB)/(1 - tanAtanB) - Real Proof (4th July, 2014)
[*]Transforming Trigonometric Identities Of The Form (A+B) Into (A-B) - Valuable Tip (4th July, 2014)
[*](sinx)^2+(cosx)^2=1 (Proof - No Unit Circle Required) (17th January, 2015)
[*]tan(A+B) derivation in terms of tan(A) and tan(B) (6th April, 2015)
[*]Prove that a/sin(A)=b/sin(B)=c/sin(C), the quickest way. Honest. (5th September, 2016)
[*]sin(A-B)=sinAcosB-cosAsinB proof (17th September, 2016)
[*]3 Trigonometric Identities You Must Be Able To Derive From Scratch (17th September, 2016)
[*]cos(A-B)=cosAcosB+sinAsinB proof (18th September, 2016)
[*]sin(A-B)=sin(A)cos(B)-cos(A)sin(B) proof - geometrical (22nd September, 2016)
[*]cos(A-B)=cos(A)cos(B)+sin(A)sin(B) proof - geometrical (29th September, 2016)
[*]tan(A-B) derivation in terms of tan(A) and tan(B) (29th September, 2016)
[/ul]
Differentiation (54):
[*]Implicit Differentiation Demystified In One Swoop (C4 Examinations) (11th January, 2014)
[*]Random Equations To Differentiate - (C4 Revision Work) (11th January, 2014)
[*]Finding Derivatives / Differentiation Explained (4th May, 2014)
[*]If y=lnx, (dy/dx)=1/x. (Simple Proof, No Limits Required) (28th August, 2014)
[*]If y=lnx, dy/dx=1/x (Proof - Alternative Short Cut, Implicit Differentiation) (17th January, 2015)
[*]How to differentiate tanx using the quotient rule (old version) (17th January, 2015)
[*]If y=x^n, dy/dx=nx^(n-1) (Proof - Implicit Differentiation) (18th January, 2015)
[*]If y=secx, dy/dx=secxtanx (Implicit Differentiation Proof) (20th January, 2015)
[*]If y=cosecx, dy/dx=-cotxcosecx (Implicit Differentiation Proof) (20th January, 2015)
[*]How to find the derivative of y=cotx using implicit differentiation (21st January, 2015)
[*]How to differentiate y=tanx (implicit and logarithmic differentiation: method 1) (12th April, 2015)
[*]How to differentiate y=tanx (implicit differentiation method) (12th April, 2015)
[*]How to differentiate y=ln(cosx) {Implicit differentiation - quick method} (14th April, 2015)
[*]How to differentiate ln(secx+tanx) {implicit differentiation method} (16th April, 2015)
[*]How to differentiate y=(ln(x))^(x) (5th May, 2015)
[*]How to differentiate y=a^x quickly (implicit and logarithmic differentiation) (16th August, 2015)
[*]How to differentiate y=arcsinx (Implicit Differentiation) (25th August, 2015)
[*]How to differentiate y=arccosx (implicit differentiation) (27th August, 2015)
[*]How to differentiate y=arctanx (Implicit differentiation method) (3rd November, 2015)
[*]How to differentiate y=ln(sinx), Chain Rule version (20th September, 2016)
[*]How to differentiate y=ln(tanx), Chain Rule version (calculator friendly) (20th September, 2016)
[*]How to differentiate y=ln(cosx), Chain Rule version (20th September, 2016)
[*]How to differentiate y=ln(cosecx), Chain Rule version (21st September, 2016)
[*]How to differentiate ln(cosecx), Implicit Differentiation version (21st September, 2016)
[*]y=ln(secx) differentiated, implicit differentiation version (23rd September, 2016)
[*]y=ln(cosecx) differentiated, implicit differentiation version (24th September, 2016)
[*]y=cotx differentiated, implicit differentiation version (24th September, 2016)
[*]y=ln(cotx) differentiated, chain rule version (24th September, 2016)
[*]y=ln(cotx) differentiated, implicit differentiation version (24th September, 2016)
[*]y=(sinx)^2 differentiated, chain rule version (24th September, 2016)
[*]y=(cosx)^2 differentiated, chain rule version (24th September, 2016)
[*]y=(tanx)^2 differentiated, chain rule version (24th September, 2016)
[*]e^(2x) differentiated, implicit differentiation version (25th September, 2016)
[*]e^(2x) differentiated, chain rule version (25th September, 2016)
[*]y=sinxcosx differentiated, product rule version (25th September, 2016)
[*]How to derive the PRODUCT RULE from scratch (25th September, 2016)
[*]How to derive the QUOTIENT RULE from scratch (25th September, 2016)
[*]How to differentiate x * ln(x) using the product rule (30th September, 2016)
[*]How to differentiate cosecx using implicit differentiation (quick method) (30th September, 2016)
[*]How to differentiate secx using implicit differentiation (quick method) (30th September, 2016)
[*]How to differentiate arctanx using implicit differentiation (quick method) (1st October, 2016)
[*]How to differentiate arcsinx using implicit differentiation (quick method) (1st October, 2016)
[*]How to differentiate arccosx using implicit differentiation (quick method) (1st October, 2016)
[*]Differentiate x^x using implicit differentiation and the product rule (1st October, 2016)
[*]How to differentiate ln(sinx) using implicit differentiation (quick method) (1st October, 2016)
[*]How to differentiate ln(tanx) using implicit differentiation (quick method) (1st October, 2016)
[*]Differentiate e^x quickly using implicit differentiation (1st October, 2016)
[*]Differentiate x^n using implicit differentiation (Derivative of x^n) (1st October, 2016)
[*]Differentiate x^(lnx) using implicit differentiation and the chain rule (2nd October, 2016)
[*]How to differentiate e^x * ln(x) using the product rule (2nd October, 2016)
[*]Differentiate y=1/(lnx) using implicit differentiation (2nd October, 2016)
[*]How to differentiate cotx using the quotient rule (4th October, 2016)
[*]How to differentiate tanx using the quotient rule (4th October, 2016)
[/ul]
Integration (4):
[*]Derive the integration by parts formula using the product rule (25th September, 2016)
[*]x*(e^x) integrated, part 1 - result not checked (25th September, 2016)
[*]x*(e^x) integrated, part 2 - result checked (25th September, 2016)
[/ul]
Calculus (34):
[*]Volumes of Revolution Cracked In Under 15 minutes (15th April, 2014)
[*]Volumes of Cones Formula - from almost Absolute Scratch (3rd May, 2014)
[*]Introduction to Gradients (Slopes) and How to Measure Gradients (8th May, 2014)
[*]Trapezium Rule Formula - Derived from Scratch (16th May, 2014)
[*]The Product Of Perpendicular Gradients Is Equal To -1 (PROOF) (18th January, 2015)
[*]Volumes Of Revolution Formula Demystified (19th June, 2015)
[*]The formula to find areas underneath curves derived from scratch (3rd October, 2016)
[*]How to derive the area of a circle from scratch (1 min 59 secs): Part 1 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 39 secs): Part 2 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 20 secs): Part 3 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 50 secs): Part 4 (18th February, 2017)
[*]How to derive the area of a circle from scratch (58 secs): Part 5 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 41 secs): Part 6 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 51 secs): Part 7 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 34 secs): Part 8 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 49 secs): Part 9 (18th February, 2017)
[*]How to derive the area of a circle from scratch (2 mins 29 secs): Part 10 (18th February, 2017)
[*]How to derive the area of a circle from scratch (2 mins 02 secs): Part 11 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 43 secs): Part 12 (18th February, 2017)
[*]How to derive the area of a circle from scratch (3 mins 18 secs): Part 13 (18th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 37 secs): Part 1 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 08 secs): Part 2 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (3 mins): Part 3 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (40 secs): Part 4 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 06 secs): Part 5 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 44 secs): Part 6 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 45 secs): Part 7 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 31 secs): Part 8 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 43 secs): Part 9 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 55 secs): Part 10 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 52 secs): Part 11 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 40 secs): Part 12 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (3 mins 01 sec): Part 13 (20th February, 2017)
[/ul]
Limits (11):
[*]How to find the derivative of cosx using limits (4th October, 2016)
[*]How to find the derivative of tanx using limits (5th October, 2016)
[*]How to find the derivative of sinx using limits (version II) (5th October, 2016)
[*]How to find the derivative of cosx using limits (version II) (5th October, 2016)
[*]In the limit, as change in x approaches 0, (sin(?x))/?x=1 (calculator proof) (5th October, 2016)
[*]In the limit, as change in x approaches 0, (cos(?x)-1)/?x=0 (calculator proof) (5th October, 2016)
[*]In the limit, as change in x approaches 0, (tan(?x))/?x=1, tan(?x)=0 (5th October, 2016)
[*]In the limit, as change in x approaches 0, (e^(?x)-1)/?x=1 (7th October, 2016)
[*]How to find the derivative of e^x using limits (7th October, 2016)
[*]How to find the derivative of lnx using limits (7th October, 2016)
[/ul]
Vectors (2):
[*]Vector Angle Proof - Rare Proof By Student In UK (24th April, 2014)
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Statistics (2):
[*]Manipulating The Sigma Symbol (Coded Data): Edexcel Statistics (1) (31st January, 2016)
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Probabilities (2):
[*]Probabilities: Mutually Exclusive Diagram / Animation (2 Events) (31st March, 2017)
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Singularities (2):
[*]Mathematical Singularity In 3 Dimensions Demystified (18th January, 2015)
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Mathematical / Geometrical Art (34):
[*]Triangular Optical Illusion Demo (11th June, 2015)
[*]Quick Pentagram Construction (11th June, 2015)
[*]Pentagus Complexus - Chaos Artwork (12th June, 2015)
[*]Time just a figment of our imagination? (12th June, 2015)
[*]Pyramid made with centimetre cubes (Forwards and backwards in time) (16th June, 2015)
[*]Mathematics In Pixels - Fibonacci Spiral Created With Cubes (17th June, 2015)
[*]Percentage Count (0% to 100%) (17th June, 2015)
[*]Prism Split In 3 - Mathematical Visualisation Training (19th June, 2015)
[*]A Journey In 4 Dimensions - Visualising 4 Dimensional Space (22nd June, 2015)
[*]Constructing a Tesseract on a 2D Plane (26th June, 2015)
[*]Reality Is A Construct (Demo) - 3 Mathematical Perspectives (27th June, 2015)
[*]Exploring Non-Euclidean Space - Sphere Sketch With X, Y, Z Axes (28th June, 2015)
[*]Line, Square & Cube Rotated About 360 Degrees (30th June, 2015)
[*]Visualising Mathematics: Point, Circle & Sphere Orbit Around Central Axis (30th June, 2015)
[*]Visualising Mathematics: Conic Sections In 3 Dimensions (1st July, 2015)
[*]Real World Maths: Designing A Logo Using Arithmetic, Geometry & Photoshop (19th November, 2015)
[*]Mathematical Logo Designing: Spintarget™ - Arts & Entertainment (31st January, 2016)
[*]Andrea Calábria (AC): Hair & Beauty Brand (Mathematical Logo Design) (31st January, 2016)
[*]Isometric paper (from scratch) - Approx 3.5 mm equilateral triangles (20th August, 2016)
[*]The Nature of the Ellipse: Expanding Mathematical Awareness (8th September, 2016)
[*]Cube divided into 6 equal parts (Geogebra): L x W x H x 1/6 (23rd February, 2017)
[*]Menger Sponge Optical Illusion (4th March, 2017)
[*]The Penrose Staircase (Made with isometric paper) (5th March, 2017)
[*]Sierspinski Pyramid Model (64 equilateral triangle based pyramids) (7th March, 2017)
[*]Tiago Hands - Mathematical Logos - "Digitised" (16th March, 2017)
[*]Perfect Fibonacci Spiral (ASCII Art - Tiago Hands) (18th March, 2017)
[*]Mathematical Spiral Pattern Created With Matchsticks (19th March, 2017)
[*]773M.7735.5317??? (25th March, 2017)
[*]The Impossible Triangle - Computerised Design (Flower Of Life) (26th March, 2017)
[*]Impossible Isometric Hexacube - Drawn Using Computer (27th March, 2017)
[*]MathsVideos.net - Yin Yang Geometry Intro (27th March, 2017)
[*]Animation: Penrose staircase with Matrix rain (29th March, 2017)
[*]Isometric grid emerging out of the flower of life (Animation) (1st April, 2017)
[/ul]
Reviews (1):
[/ul]
Here you can find all of our Youtube videos (224 in total) dated and in categories. What we have is videos related to basic mathematics skills (24), algebra (12), logarithms (6), graphing (2), Pythagoras' theorem (5), angles (2), areas (4), circles (2), trigonometry (21), differentiation (54), integration (4), calculus (34), limits (11), vectors (2), statistics (2), probabilities (2), singularities (2), mathematical / geometrical art (34) and reviews (1). Our first video was created on the 31st of December, 2013 - and we've been making clips ever since.
Basic Mathematics Skills (24):
[*]Dividing negative and positive numbers explained (3rd January, 2014)
[*]The FOIL method simplified: First, Outer, Inner, Last (3rd January, 2014)
[*]Function Problems Solved - Edexcel Revision C3 (No Sound) (15th April, 2014)
[*]Simple Surd Multiplication (3rd May, 2014)
[*]Quick (non-technical) Introduction to Pi (7th May, 2014)
[*]Decimals, Fractions & Percentages, 5% to 100% (8th May 2014)
[*]Learning how to Simplify Expressions & Collect Like Terms (12th May, 2014)
[*]Simplifying more Complex Expressions containing Positive and Negative Powers (12th May, 2014)
[*]Simplifying Extra Complex Expressions Containing Annoying Powers (13th May, 2014)
[*](a+b)(a+b)=a^2+2ab+b^2 (Real Proof Revealed) (FOIL Method Demystified) (17th May, 2014)
[*](a+b)(a-b)=a^2-b^2 (The Real Proof) (Difference Of Two Squares Demystified) (18th May, 2014)
[*](a+b+c)(d-e-f) - Proof & Expansion - A Level Maths (4th August, 2014)
[*]10^(-5) to 10^(5) Demystified (17th August, 2014)
[*]2 Long Multiplication Problems Solved (17th August, 2014)
[*]How To Write 0.083333333333... As A Fraction (EXPLAINED) (29th August, 2014)
[*]Carl Friedrich Gauss - How He Probably Came Up With His Theory (15th November, 2014)
[*]Dealing With Inverses - Shortcuts (15th November, 2014)
[*]666 In Binary - 1010011010 - As Seen In Futurama Episode (26th January, 2015)
[*]How To Approximate The Value Of The Square Root Of 2 (8th November, 2015)
[*]How To Prove That √2 x √2=2 (9th November, 2015)
[*]Expand Binomials Using Python - Download Python & Get Binomial Expansion Code (10th February, 2016)
[*]Proving that the formulas used to complete the square are valid (12th October, 2016)
[*]Animation: Doubling the area of a square (Plato's Meno) (28th March, 2017)
[/ul]
Algebra (12):
[*]How To Solve Simultaneous Equations Containing 3 Unknowns - Easy Guide (12th January, 2014)
[*]Find The Value Of X When It Becomes An Exponential Power (14th January, 2014)
[*]How To Simplify Fractions Containing Roots In The Denominator (15th April, 2014)
[*]How To Produce The Quadratic Formula From Scratch (30th April, 2014)
[*]Expanding Expressions - Algebra (12th May, 2014)
[*]Factorising Expressions - Algebra (13th May, 2014)
[*]Factorising Quadratic Expressions & Using the 'Difference of Two Squares' Method (13th May, 2014)
[*]How To Solve |2x+1|=|4x+1| (13th August, 2014)
[*]Prove that (a/b)+(c/d)=(ad+bc)/(bd) {simple explanation} (14th April, 2015)
[*]If a/b=c/d then a/b=(a+c)/(b+d) mathematical proof (5th August, 2017)
[*]If a/b=c/d, then a/b=(a+c)/(b+d) mathematical proof (quicker version) (5th August, 2017)
[/ul]
Logarithms (6):
[*]Logarithmic Fraction Proof - 2015 (9th April, 2015)
[*]log(xp)=logx+logp - Simplified Proof (9th April, 2015)
[*]Prove that log_a_(x)=1 / {log_x_(a)} (13th April, 2015)
[*]Prove that log_a(x^n)=n*log_a(x) (14th May, 2015)
[*]Prove that log_a(p/q)=log_a(p) - log_a(q) (21st September, 2016)
[/ul]
Graphing (2):
[*]Midpoint Formula Derived Using Diagram (Logical Thinking) (6th September, 2014)
[/ul]
Pythagoras' Theorem (5):
[*]How To Come Up With The Distance Formula (In 2 Dimensions) From Scratch. (20th April, 2014)
[*]How To Come Up With The Distance Formula In 3 Dimensions (23rd April, 2014)
[*]Pi Approximation Trick - Calculator - Derived Using Pythagoras's Theorem (14th November, 2015)
[*]How to derive Pythagoras' equation / theorem (2 methods) (30th September, 2016)
[/ul]
Angles (2):
[*]Why two angles, each on different but parallel lines - and also split by a diagonal line are equal to one another (4th January, 2014)
[/ul]
Areas (4):
[*]Area of Trapezium Formula - Derived from Scratch (15th May, 2014)
[*]Area of Trapezium Formula - From Scratch (Version II) (15th May, 2014)
[*]Area of a sector proof using a constant of proportionality plus area of a circle (5th September, 2016)
[/ul]
Circles (2):
[*]Length of an arc formula derived from scratch (5th September, 2016)
[/ul]
Trigonometry (21):
[*]sin(A+B)=sin(A)cos(B)+cos(A)sin(B) proof - geometrical (4th January, 2014)
[*]cos(A+B)=cos(A)cos(B)-sin(A)sin(B) proof - geometrical (6th January, 2014)
[*]y=arcsinx graph - Related to C3 Mathematics Exams - Edexcel (6th January, 2014)
[*]y=arccosx graph - Related to C3, C4 Edexcel Exams (7th January, 2014)
[*]y=arctanx sketch - Related to C3 Exams (7th January, 2014)
[*]How To Come Up with The Cosine Rule From Scratch (18th April, 2014)
[*]An Alternative Sine Rule Proof - a/sinA=b/sinB=c/sinC (28th April, 2014)
[*]Areas of Triangles formula transformed (9th May, 2014)
[*]Areas of Triangles Formulas used to produce Sine Rule (9th May, 2014)
[*]tan(A+B)= (tanA + tanB)/(1 - tanAtanB) - Real Proof (4th July, 2014)
[*]Transforming Trigonometric Identities Of The Form (A+B) Into (A-B) - Valuable Tip (4th July, 2014)
[*](sinx)^2+(cosx)^2=1 (Proof - No Unit Circle Required) (17th January, 2015)
[*]tan(A+B) derivation in terms of tan(A) and tan(B) (6th April, 2015)
[*]Prove that a/sin(A)=b/sin(B)=c/sin(C), the quickest way. Honest. (5th September, 2016)
[*]sin(A-B)=sinAcosB-cosAsinB proof (17th September, 2016)
[*]3 Trigonometric Identities You Must Be Able To Derive From Scratch (17th September, 2016)
[*]cos(A-B)=cosAcosB+sinAsinB proof (18th September, 2016)
[*]sin(A-B)=sin(A)cos(B)-cos(A)sin(B) proof - geometrical (22nd September, 2016)
[*]cos(A-B)=cos(A)cos(B)+sin(A)sin(B) proof - geometrical (29th September, 2016)
[*]tan(A-B) derivation in terms of tan(A) and tan(B) (29th September, 2016)
[/ul]
Differentiation (54):
[*]Implicit Differentiation Demystified In One Swoop (C4 Examinations) (11th January, 2014)
[*]Random Equations To Differentiate - (C4 Revision Work) (11th January, 2014)
[*]Finding Derivatives / Differentiation Explained (4th May, 2014)
[*]If y=lnx, (dy/dx)=1/x. (Simple Proof, No Limits Required) (28th August, 2014)
[*]If y=lnx, dy/dx=1/x (Proof - Alternative Short Cut, Implicit Differentiation) (17th January, 2015)
[*]How to differentiate tanx using the quotient rule (old version) (17th January, 2015)
[*]If y=x^n, dy/dx=nx^(n-1) (Proof - Implicit Differentiation) (18th January, 2015)
[*]If y=secx, dy/dx=secxtanx (Implicit Differentiation Proof) (20th January, 2015)
[*]If y=cosecx, dy/dx=-cotxcosecx (Implicit Differentiation Proof) (20th January, 2015)
[*]How to find the derivative of y=cotx using implicit differentiation (21st January, 2015)
[*]How to differentiate y=tanx (implicit and logarithmic differentiation: method 1) (12th April, 2015)
[*]How to differentiate y=tanx (implicit differentiation method) (12th April, 2015)
[*]How to differentiate y=ln(cosx) {Implicit differentiation - quick method} (14th April, 2015)
[*]How to differentiate ln(secx+tanx) {implicit differentiation method} (16th April, 2015)
[*]How to differentiate y=(ln(x))^(x) (5th May, 2015)
[*]How to differentiate y=a^x quickly (implicit and logarithmic differentiation) (16th August, 2015)
[*]How to differentiate y=arcsinx (Implicit Differentiation) (25th August, 2015)
[*]How to differentiate y=arccosx (implicit differentiation) (27th August, 2015)
[*]How to differentiate y=arctanx (Implicit differentiation method) (3rd November, 2015)
[*]How to differentiate y=ln(sinx), Chain Rule version (20th September, 2016)
[*]How to differentiate y=ln(tanx), Chain Rule version (calculator friendly) (20th September, 2016)
[*]How to differentiate y=ln(cosx), Chain Rule version (20th September, 2016)
[*]How to differentiate y=ln(cosecx), Chain Rule version (21st September, 2016)
[*]How to differentiate ln(cosecx), Implicit Differentiation version (21st September, 2016)
[*]y=ln(secx) differentiated, implicit differentiation version (23rd September, 2016)
[*]y=ln(cosecx) differentiated, implicit differentiation version (24th September, 2016)
[*]y=cotx differentiated, implicit differentiation version (24th September, 2016)
[*]y=ln(cotx) differentiated, chain rule version (24th September, 2016)
[*]y=ln(cotx) differentiated, implicit differentiation version (24th September, 2016)
[*]y=(sinx)^2 differentiated, chain rule version (24th September, 2016)
[*]y=(cosx)^2 differentiated, chain rule version (24th September, 2016)
[*]y=(tanx)^2 differentiated, chain rule version (24th September, 2016)
[*]e^(2x) differentiated, implicit differentiation version (25th September, 2016)
[*]e^(2x) differentiated, chain rule version (25th September, 2016)
[*]y=sinxcosx differentiated, product rule version (25th September, 2016)
[*]How to derive the PRODUCT RULE from scratch (25th September, 2016)
[*]How to derive the QUOTIENT RULE from scratch (25th September, 2016)
[*]How to differentiate x * ln(x) using the product rule (30th September, 2016)
[*]How to differentiate cosecx using implicit differentiation (quick method) (30th September, 2016)
[*]How to differentiate secx using implicit differentiation (quick method) (30th September, 2016)
[*]How to differentiate arctanx using implicit differentiation (quick method) (1st October, 2016)
[*]How to differentiate arcsinx using implicit differentiation (quick method) (1st October, 2016)
[*]How to differentiate arccosx using implicit differentiation (quick method) (1st October, 2016)
[*]Differentiate x^x using implicit differentiation and the product rule (1st October, 2016)
[*]How to differentiate ln(sinx) using implicit differentiation (quick method) (1st October, 2016)
[*]How to differentiate ln(tanx) using implicit differentiation (quick method) (1st October, 2016)
[*]Differentiate e^x quickly using implicit differentiation (1st October, 2016)
[*]Differentiate x^n using implicit differentiation (Derivative of x^n) (1st October, 2016)
[*]Differentiate x^(lnx) using implicit differentiation and the chain rule (2nd October, 2016)
[*]How to differentiate e^x * ln(x) using the product rule (2nd October, 2016)
[*]Differentiate y=1/(lnx) using implicit differentiation (2nd October, 2016)
[*]How to differentiate cotx using the quotient rule (4th October, 2016)
[*]How to differentiate tanx using the quotient rule (4th October, 2016)
[/ul]
Integration (4):
[*]Derive the integration by parts formula using the product rule (25th September, 2016)
[*]x*(e^x) integrated, part 1 - result not checked (25th September, 2016)
[*]x*(e^x) integrated, part 2 - result checked (25th September, 2016)
[/ul]
Calculus (34):
[*]Volumes of Revolution Cracked In Under 15 minutes (15th April, 2014)
[*]Volumes of Cones Formula - from almost Absolute Scratch (3rd May, 2014)
[*]Introduction to Gradients (Slopes) and How to Measure Gradients (8th May, 2014)
[*]Trapezium Rule Formula - Derived from Scratch (16th May, 2014)
[*]The Product Of Perpendicular Gradients Is Equal To -1 (PROOF) (18th January, 2015)
[*]Volumes Of Revolution Formula Demystified (19th June, 2015)
[*]The formula to find areas underneath curves derived from scratch (3rd October, 2016)
[*]How to derive the area of a circle from scratch (1 min 59 secs): Part 1 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 39 secs): Part 2 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 20 secs): Part 3 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 50 secs): Part 4 (18th February, 2017)
[*]How to derive the area of a circle from scratch (58 secs): Part 5 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 41 secs): Part 6 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 51 secs): Part 7 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 34 secs): Part 8 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 49 secs): Part 9 (18th February, 2017)
[*]How to derive the area of a circle from scratch (2 mins 29 secs): Part 10 (18th February, 2017)
[*]How to derive the area of a circle from scratch (2 mins 02 secs): Part 11 (18th February, 2017)
[*]How to derive the area of a circle from scratch (1 min 43 secs): Part 12 (18th February, 2017)
[*]How to derive the area of a circle from scratch (3 mins 18 secs): Part 13 (18th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 37 secs): Part 1 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 08 secs): Part 2 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (3 mins): Part 3 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (40 secs): Part 4 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 06 secs): Part 5 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 44 secs): Part 6 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 45 secs): Part 7 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 31 secs): Part 8 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 43 secs): Part 9 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 55 secs): Part 10 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 52 secs): Part 11 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (1 min 40 secs): Part 12 (20th February, 2017)
[*]How to derive the area of an ellipse from scratch (3 mins 01 sec): Part 13 (20th February, 2017)
[/ul]
Limits (11):
[*]How to find the derivative of cosx using limits (4th October, 2016)
[*]How to find the derivative of tanx using limits (5th October, 2016)
[*]How to find the derivative of sinx using limits (version II) (5th October, 2016)
[*]How to find the derivative of cosx using limits (version II) (5th October, 2016)
[*]In the limit, as change in x approaches 0, (sin(?x))/?x=1 (calculator proof) (5th October, 2016)
[*]In the limit, as change in x approaches 0, (cos(?x)-1)/?x=0 (calculator proof) (5th October, 2016)
[*]In the limit, as change in x approaches 0, (tan(?x))/?x=1, tan(?x)=0 (5th October, 2016)
[*]In the limit, as change in x approaches 0, (e^(?x)-1)/?x=1 (7th October, 2016)
[*]How to find the derivative of e^x using limits (7th October, 2016)
[*]How to find the derivative of lnx using limits (7th October, 2016)
[/ul]
Vectors (2):
[*]Vector Angle Proof - Rare Proof By Student In UK (24th April, 2014)
[/ul]
Statistics (2):
[*]Manipulating The Sigma Symbol (Coded Data): Edexcel Statistics (1) (31st January, 2016)
[/ul]
Probabilities (2):
[*]Probabilities: Mutually Exclusive Diagram / Animation (2 Events) (31st March, 2017)
[/ul]
Singularities (2):
[*]Mathematical Singularity In 3 Dimensions Demystified (18th January, 2015)
[/ul]
Mathematical / Geometrical Art (34):
[*]Triangular Optical Illusion Demo (11th June, 2015)
[*]Quick Pentagram Construction (11th June, 2015)
[*]Pentagus Complexus - Chaos Artwork (12th June, 2015)
[*]Time just a figment of our imagination? (12th June, 2015)
[*]Pyramid made with centimetre cubes (Forwards and backwards in time) (16th June, 2015)
[*]Mathematics In Pixels - Fibonacci Spiral Created With Cubes (17th June, 2015)
[*]Percentage Count (0% to 100%) (17th June, 2015)
[*]Prism Split In 3 - Mathematical Visualisation Training (19th June, 2015)
[*]A Journey In 4 Dimensions - Visualising 4 Dimensional Space (22nd June, 2015)
[*]Constructing a Tesseract on a 2D Plane (26th June, 2015)
[*]Reality Is A Construct (Demo) - 3 Mathematical Perspectives (27th June, 2015)
[*]Exploring Non-Euclidean Space - Sphere Sketch With X, Y, Z Axes (28th June, 2015)
[*]Line, Square & Cube Rotated About 360 Degrees (30th June, 2015)
[*]Visualising Mathematics: Point, Circle & Sphere Orbit Around Central Axis (30th June, 2015)
[*]Visualising Mathematics: Conic Sections In 3 Dimensions (1st July, 2015)
[*]Real World Maths: Designing A Logo Using Arithmetic, Geometry & Photoshop (19th November, 2015)
[*]Mathematical Logo Designing: Spintarget™ - Arts & Entertainment (31st January, 2016)
[*]Andrea Calábria (AC): Hair & Beauty Brand (Mathematical Logo Design) (31st January, 2016)
[*]Isometric paper (from scratch) - Approx 3.5 mm equilateral triangles (20th August, 2016)
[*]The Nature of the Ellipse: Expanding Mathematical Awareness (8th September, 2016)
[*]Cube divided into 6 equal parts (Geogebra): L x W x H x 1/6 (23rd February, 2017)
[*]Menger Sponge Optical Illusion (4th March, 2017)
[*]The Penrose Staircase (Made with isometric paper) (5th March, 2017)
[*]Sierspinski Pyramid Model (64 equilateral triangle based pyramids) (7th March, 2017)
[*]Tiago Hands - Mathematical Logos - "Digitised" (16th March, 2017)
[*]Perfect Fibonacci Spiral (ASCII Art - Tiago Hands) (18th March, 2017)
[*]Mathematical Spiral Pattern Created With Matchsticks (19th March, 2017)
[*]773M.7735.5317??? (25th March, 2017)
[*]The Impossible Triangle - Computerised Design (Flower Of Life) (26th March, 2017)
[*]Impossible Isometric Hexacube - Drawn Using Computer (27th March, 2017)
[*]MathsVideos.net - Yin Yang Geometry Intro (27th March, 2017)
[*]Animation: Penrose staircase with Matrix rain (29th March, 2017)
[*]Isometric grid emerging out of the flower of life (Animation) (1st April, 2017)
[/ul]
Reviews (1):
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