# THE LINKS TO ALL OUR YOUTUBE VIDEOS

*Mathematics proofs videos and more!!*

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)***and**

*mathematical / geometrical art (34)***. Our first video was created on the 31st of December, 2013 – and we’ve been making clips ever since.**

*reviews (1)*Note: To report a broken / faulty link, please **contact us**. If you’d like to search our site more intensely – you can also visit our **site map** or **see all our tags**. Still not satisfied? Check out our **playlists**.

Also: You can watch these videos on **our official forum**. Comments and feedback are appreciated.

**Basic Mathematics Skills (24):**

**Multiplying negative and positive numbers explained**(3rd January, 2014)**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)

**Algebra (12):**

**How to solve an ordinary simultaneous equation**(12th January, 2014)**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)

**Logarithms (6):**

**log(xp)=logx+logp (PROOF)**(17th January, 2015)**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)

**Graphing (2):**

**How To Create The Graph Of: y=|2x-1|**(13th August, 2014)**Midpoint Formula Derived Using Diagram (Logical Thinking)**(6th September, 2014)

**Pythagoras’ Theorem (5):**

**How To Come Up With Pythagoras’ Equation**(11th April, 2014)**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)

**Angles (2):**

**Proving that in 2 dimensions, opposite angles are equal**(3rd January, 2014)**Why two angles, each on different but parallel lines – and also split by a diagonal line are equal to one another**(4th January, 2014)

**Areas (4):**

**Formula for the Area of Triangles is 1/2absinC – Proof**(9th May, 2014)**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)

**Circles (2):**

**Proving that the circumference of a circle is pi * d using the constant of proportionality.**(5th September, 2016)**Length of an arc formula derived from scratch**(5th September, 2016)

**Trigonometry (21):**

**Why is (sinA)^2+(cosA)^2=1?**(3rd January, 2014)**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)

**Differentiation (54):**

**2 Tricky Differentiation Problems, One That Requires The Use Of The Chain Rule.**(10th January, 2014)**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)

**Integration (4):**

**Integration – Reversing the Process of Differentiation**(4th May, 2014)**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)

**Calculus (34):**

**Traditional Way Of Finding Areas Underneath Curves From x=b to x=a**(13th April, 2014)**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)

**Limits (11):**

**How to find the derivative of sinx using limits**(4th October, 2016)**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)

**Vectors (2):**

**Magnitude Of The Unit Vector Is 1**(20th April, 2014)**Vector Angle Proof – Rare Proof By Student In UK**(24th April, 2014)

**Statistics (2):**

**Mean Value of Two Sets of Data Combined (Formula Derivation): Edexcel Statistics (1)**(31st January, 2016)**Manipulating The Sigma Symbol (Coded Data): Edexcel Statistics (1)**(31st January, 2016)

**Probabilities (2):**

**Derivation: Probability formula of the union and intersection (2 events)**(29th March, 2017)**Probabilities: Mutually Exclusive Diagram / Animation (2 Events)**(31st March, 2017)

**Singularities (2):**

**Generate a ‘general relativity’ type mathematical singularity using 3D graphing software**(31st December, 2013)**Mathematical Singularity In 3 Dimensions Demystified**(18th January, 2015)

**Mathematical / Geometrical Art (34):**

**Reality is a construct – Mathematical staircase (105 frames)**(11th June, 2015)**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)

**Reviews (1):**

**Love Maths? Answer & Ask Maths Questions On Brainly.com**(4th September, 2014)