# A Level Maths Tutorial Videos (All)

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Pure (Y2)Binomial ExpansionGeneral Binomial Expansion (The Form (1 +kx)^n ) and Domain of Validity
Pure (Y2)Binomial ExpansionFurther General Binomial Expansion (The Form (a +bx)^n ) and Exam Question
Pure (Y2)DifferentiationProduct Rule For Differentiation
Pure (Y2)DifferentiationQuotient Rule For Differentiation
Pure (Y2)DifferentiationChain Rule For Differentiation
Pure (Y2)DifferentiationDifferentiating sin(x) and cos(x) from first principles
Pure (Y2)DifferentiationImplicit Differentiation – Finding the Equation of a Normal to a Curve
Pure (Y2)DifferentiationImplicit Differentiation – Finding the Stationary Points of a Curve
Pure (Y2)DifferentiationImplicit Differentiation – An Introduction
Pure (Y2)DifferentiationIntroduction to Concave and Convex Functions
Pure (Y2)DifferentiationConcave function and point of inflection exam question
Pure (Y2)IntegrationIntegrating Functions of ax+b and Standard Functions
Pure (Y2)IntegrationIntroduction to Integration by Substitution
Pure (Y2)IntegrationIntegration by Substitution with Trig Substitution
Pure (Y2)IntegrationIntegration By Substitution involving Natural Logarithms
Pure (Y2)IntegrationIntegration By Parts Introduction
Pure (Y2)IntegrationIntegration By Parts involving Natural Logarithms
Pure (Y2)IntegrationIntegrating sin²(x) and cos²(x)
Pure (Y2)IntegrationArea Between 2 Curves
Pure (Y2)Parametric EquationsFinding the differential and the cartesian equation of parametric equations.
Pure (Y2)Parametric EquationsFinding the differential and the cartesian equation of parametric equations involving trig functions
Pure (Y2)Parametric EquationsIntegrating Parametric Equations
Pure (Y2)Differential EquationsSolving Differential Equations Tutorial
Pure (Y2)Differential EquationsSolving Differential Equations (A Harder Example)
Pure (Y2)FunctionsModulus Inequalities (The Squaring Method)
Pure (Y2)FunctionsDomain, Range and Function Notation Exam Question
Pure (Y2)FunctionsModulus Inequalities (The Graphical Method)
Pure (Y2)FunctionsDomain and Range Tutorial
Pure (Y2)FunctionsModulus Equations (The Plus/Minus Method)
Pure (Y2)Proof By Contradiction Proof that there are infinitely many primes
Pure (Y2)Proof By ContradicitonA proof by contradiction that root 2 is irrational
Pure (Y2)Radians and Circle SectorsArea and Arc Length of a Circle Sector
Pure (Y2)Radians and Circle SectorsExam Question (Harder) – Arc Length of a Circle Sector
Pure (Y2)Rational Functions and Partial FractionsPartial Fractions: An Introduction
Pure (Y2)Rational Functions and Partial FractionsSimplifying Rational Functions
Pure (Y2)Rational Functions and Partial FractionsPartial Fractions with Square Brackets on Denominator
Pure (Y2)Sequences and SeriesArithmetic Sequences and Series: Nth term and sum of terms[OCR 4722, Jan 2006, Q1]
Pure (Y2)Sequences and SeriesInductive/Recursive Sequences
Pure (Y2)Sequences and SeriesGeometric Sequences: Harder Exam Question Involving Summations and Logarithms
Pure (Y2)Sequences and SeriesGeometric Sequences and Series: Summing Sequences[OCR 4722, Jun 2007, Q1]
Pure (Y2)Sequences and SeriesArithmetic Sequences and Series: A Harder Exam Question On Summing Series[OCR 4722, Jan 2010, Q8]
Pure (Y2)Sequences and SeriesArithmetic Sequences and Series: Summing Sequences Where Lower Limit Is Not 1[OCR 4722, Jan 2011, Q2]
Pure (Y2)TrigonometryGeometric Proof Of Expansion of sin(A + B)[Courtesty of Animathions]
Pure (Y2)TrigonometryGeometric Proof Of Expansion of cos(A + B)[Courtesty of Animathions]
Pure (Y2)TrigonometryCompound Angle Formulae – Writing Asin(x) + Bcos(x) in the form Rsin(x+k)
Pure (Y2)Trigonometry

Compound Angle Formulae – Expanding Trigonometric Brackets
Pure (Y2)Trigonometry

Compound Angle Formulae – Expanding Tan Brackets
Pure (Y2)Trigonometry

Double Angle Formulae – Expanding sin(2x) and cos(2x) and Solving Equations
Pure (Y2)TrigonometrySmall Angle Approximations
Pure (Y2)TrigonometryModelling Using Trigonometry
Pure (Y2)TrigonometryReciprocal Trig Functions – sec(x), cosec(x) and cot(x)
Pure (Y2)TrigonometryPythagorean Identities for Reciprocal Trig Functions
Pure (Y2)Numerical MethodsIntro to Fixed Point Iteration
Pure (Y2)Numerical MethodsStaircase and Cobweb Diagrams in Fixed Point Iteration
Pure (Y2)Numerical MethodsDeriving The Newton Raphson Method
Pure (Y2)Numerical MethodsConditions for convergence of fixed point iterative methods.
Pure (Y2)VectorsVectors in 3 Dimensions
Mech (Y2)KinematicsConstant Acceleration (suvat) in 2 Dimensions
Mech (Y2)KinematicsVariable Acceleration (suvat) in 2 Dimensions
Mech (Y2)KinematicsVariable Acceleration (suvat) in 2 Dimensions involving Calculus
Mech (Y2)KinematicsProjectiles without using vectors
Mech (Y2)Resolving ForcesEquilibrium Problems Without Friction
Mech (Y2)MomentsMoment Problems in 1 Dimension
Mech (Y2)MomentsMoments Problems in 2 Dimensions
Mech (Y2)MomentsMoment Problems in 2 Dimensions (Ladder Problem)
Mech (Y2)Resolving ForcesResolving Forces on a Rough Plane (Coefficient of Friction)
Mech (Y2)Resolving ForcesResolving Forces on a Rough Slope/Inclined Plane (Coefficient of Friction)
Stats (Y2)ProbabilityCalculating Conditional Probabilities from Venn Diagrams
Stats (Y2)ProbabilityConstructing Venn Diagrams
Stats (Y2)Normal DistributionCalculating Normal Probabilities
Stats (Y2)Normal DistributionConcept of a z-Value
Stats (Y2)Normal DistributionCalculating a Mean and Unknown Standard Deviation
Stats (Y2)Normal DistributionNormal Hypothesis Test for the Sample Mean
Stats (Y2)Hypothesis Testing[Coming Soon]
Pure (Y1), Mech (Y1)VectorsProving Four Points Form A Parallelogram Using Displacement Vectors
Pure (Y1), Mech (Y1)VectorsFinding the Magnitude and Direction of a Vector
Pure (Y1), Mech (Y1)VectorsFinding a vector given its magnitude and direction
Pure (Y1), Mech (Y1)VectorsDisplacement Vectors and Applications Displacement Vectors and Applications
Pure (Y1)Binomial ExpansionBinomial Expansion: Exam Question
Pure (Y1)Binomial ExpansionBinomial Expansion (Column Layout)
Pure (Y1)CirclesFinding The Equation Of A Tangent To A Circle (Exam Question)
Pure (Y1)CirclesFinding the centre and radius of a circle
Pure (Y1)Polynomial Division and Factor TheoremThe quotient, remainder and answer to a polynomial division.
Pure (Y1)Polynomial Division and Factor TheoremAlternative Factorisation and Grid Method for Polynomial Division
Pure (Y1)Polynomial Division and Factor TheoremSolving Cubic Equations Using Factor Theorem and Polynomial Division
Pure (Y1)PolynomialsSketching Cubic Equations
Pure (Y1)PolynomialsSketching Quartic Equations
Pure (Y1)Exponentials and LogarithmsSolving Exponential Equations Using Logarithms
Pure (Y1)Exponentials and LogarithmsSolving Exponential Equations Using Logarithms
Pure (Y1)Exponentials and LogarithmsSkeching and Solving Exponential Equations
Pure (Y1)Exponentials and LogarithmsAn Introduction To Solving Logarithmic Equations
Pure (Y1)Exponentials and LogarithmsSolving Logarithmic Equations
Pure (Y1)Exponentials and LogarithmsModelling With Exponentials – Rearranging To The Form y=mx+c
Pure (Y1)Exponentials and LogarithmsModelling With Exponentials – Finding The Equation Of A Relationship Given A Straight Line Relationship
Pure (Y1)ProofProof Using Odd And Even Numbers
Pure (Y1)ProofProof By Exhaustion
Pure (Y1)ProofDisproof By Counterexample
Pure (Y1)Quadratic EquationsCompleting the Square (Basic)
Pure (Y1)Quadratic EquationsThe Discriminant[OCR 4721, Jun 2016, Q9]
Pure (Y1)Quadratic EquationsCompleting the Square (More Difficult)
Pure (Y1)Quadratic EquationsFinding The Vertex of A Quadratic By Completing The Square
Pure (Y1)Simultaneous Equations

Solving a linear/quadratic simultaneous equation [OCR 4721. June 2016, Q3]
Pure (Y1)Straight LinesGradient, Midpoint and Distance Between Two Points
Pure (Y1)Straight LinesFinding The Equation Of A Straight Line Given Two Points
Pure (Y1)Straight LinesFinding The Equation Of A Perpendicular Line
Pure (Y1)Straight LinesPerpendicular Bisector Between Two Points
Pure (Y1)Surds and IndicesWriting A Number In A Given Index Form
Pure (Y1)Surds and IndicesRationalising the Denominator
Pure (Y1)Surds and IndicesSimplifying Surds
Pure (Y1)Surds and IndicesIndices: A tutorial on writing one number as the power of another.
Pure (Y1)Surds and IndicesIndices: A harder exam question on writing one number as the power of another.
Pure (Y1)Transformation of FunctionsIntroduction to Transformation of Functions
Pure (Y1)Transformation of FunctionsFurther Transformation of Functions
Pure (Y1)Transformation of FunctionsTransformation of Graphs
Pure (Y1)TrigonometrySolving Trigonometric Equations Involving Compound Expressions
Pure (Y1)TrigonometrySolving Trigonometric Equations Requiring Pythagorean Trig Identities (sin²(x)+cos²(x)=1)
Pure (Y1)TrigonometrySolving Basic Trig Equations
Pure (Y1)TrigonometrySolving Trig Equations Requiring tan(x) = sin(x)/cos(x) Identity
Pure (Y1)DifferentiationClassifying Stationary Points as Maxima or Minima Exam Question
Pure (Y1)DifferentiationDifferentiation from First Principles
Pure (Y1)DifferentiationFinding the tangent to a curve
Pure (Y1)DifferentiationFinding the Normal to a curve
Pure (Y1)DifferentiationProblem Solving with Stationary Points
Pure (Y1)DifferentiationPractical Applications of Differentiation
Pure (Y1)DifferentiationFurther Practical Applications of Differentiation
Pure (Y1)IntegrationDifferential Equations (Finding the equation of a curve from its differential)
Pure (Y1)IntegrationIntegration with Limits
Pure (Y1)IntegrationArea between a curve and the x-axis
Pure(Y1)IntegrationArea Between Curve And x-Axis Where Areas Are Under x-Axis
Mech (Y1)KinematicsVariable Acceleration: Displacement, Velocity and Acceleration
Mech (Y1)KinematicsConstant Accleration (suvat)
Mech (Y1)KinematicsVelocity-Time Graphs
Mech (Y1)KinematicsDeriving SUVAT equations
Mech (Y1)Forces and AccelerationForces and acceleration
Mech (Y1)Forces and AccelerationForces in two dimensions
Mech (Y1)Forces and AccelerationConnected Particles
Mech (Y1)Resolving ForcesConnected Particles Over A Pulley
Stats (Y1)Binomial DistributionIntro To Binomial Distribution
Stats (Y1)Binomial DistributionCumulative Binomial Probabilities
Stats (Y1)Binomial DistributionBinomial Distribution in Context: Exam Question
Stats (Y1)Binomial DistributionRight Tail Hypothesis Test Using Significance Levels
Stats (Y1)Binomial DistributionLeft Tail Hypothesis Test Using Significance Levels
Stats (Y1)Binomial DistributionTwo Tail Hypothesis Test Using Significance Levels
Stats (Y1)Binomial DistributionFinding the Critical Region for a Binomial Hypothesis Test (Left and Right Tails)
Stats (Y1)Binomial DistributionExam Question on Finding the Critical Region for a Binomial Hypothesis Test (Right Tail)