A Level Maths Lesson Notes

On this page you will find a complete set of lesson notes for the A Level Maths syllabus as taught from September 2017. These notes are lessons delivered by myself to my own students so if you have missed any lessons or just feel the need to brush up, please take a look.

YearStrandTopicHTML
1PureProof[Expected by Oct 2019]
1PureIndices and Surds[Expected by Oct 2019]
1PureQuadratics[Expected by Oct 2019]
1PurePolynomial Division and Factor Theorem[Expected by Oct 2019]
1PureGraphs of Functions[Expected by Oct 2019]
1PureTransformation of Functions[Expected by Oct 2019]
1PureSimultaneous Equations[Expected by Oct 2019]
1PureStraight Lines[Expected by Oct 2019]
1PureCircles[Expected by Oct 2019]
1PureExponentialsIntroduction to Logarithms
1PureExponentialsLaws of Logarithms
1PureExponentialsSolving Exponential Equations
1PureExponentialsModelling with Exponentials
1PureBinomial ExpansionIntro to Binomial Expansion
1PureBinomial ExpansionFurther Binomial Expansion
1PureTrigonometryEquations and Trig Identities
1PureTrigonometryFinding a Trigonometric Quantity Given Another
1PureTrigonometryFurther Solving Trig Equations
1PureTrigonometrySolving Trig Equations
1PureVectorsCollinear Vectors
1PureVectorsGeometric Problems Using Vectors
1PureVectorsMagnitude and Direction of a Vector
1PureDifferentiationBasic Differentiation of Powers of x
1PureDifferentiationDifferentiation (Tangents and Normals)
1PureDifferentiationDifferentiation from First Principles
1PureDifferentiationFinding and Classifying Stationary Points
1PureDifferentiationFurther Differentiation from First Principles
1PureDifferentiationSuccessive Approximatons in Differentiation
1PureDifferentiationModelling with Differentiation
1PureDifferentiationPractical Differentiation Problems
1PureIntegrationArea Between a Curve and the x-Axis
1PureIntegrationDefinite Integrals
1PureIntegrationIntroduction to Integration
1PureIntegrationSolving Differential Equations
1MechKinematicsVariable Acceleration
1MechKinematicsS-T and V-T Graphs
1MechKinematicsDeriving SUVAT Equations
1MechKinematicsIntro to SUVAT
1MechKinematicsMotion Under Gravity
1MechForces and MotionNewton's Second Law (F=ma) in One and Two Dimensions
1MechForces and MotionResolving Perpendicular Forces
1MechConnected ParticlesParticles Over a Pulley
1MechConnected ParticlesHorizontally Connected Particles
1StatsSamplingSampling Techniques
1StatsStatistical DiagramsCumulative Frequency Diagrams
1StatsStatistical DiagramsHistograms
1StatsMeasures of Location and SpreadOutliers and Cleaning Data
1StatsMeasures of Location and SpreadStandard Deviation
1StatsCorrelation and RegressionCorrelation and Regression
1StatsDiscrete Random VariablesDiscrete Random Variables
1StatsDiscrete Random VariablesCalculating Binomial Probabilities
2PureSequences and SeriesGeometric Sequences
2PureSequences and SeriesArithmetic Sequences
2PureSequences and SeriesInductive Sequences
2PureRational Functions and Partial FractionsFurther Polynomial Division
2PureRational Functions and Partial FractionsRational Functions
2PureRational Functions and Partial FractionsPartial Fractions
2PureGeneral Binomial ExpansionGeneral Binomial Expansion
2PureFunctionsComposite Functions
2PureFunctionsDomain and Range
2PureFunctionsMappings
2PureFunctionsInverse of a Function
2PureFunctionsMultiple Transformations of Functions
2PureFunctionsSketching Modulus Functions
2PureFunctions[Expected by Sep/Oct 2019]
2PureRadians[Expected by Sep/Oct 2019]
2PureCompound Angle Formulae[Expected by Sep/Oct 2019]
2PureReciprocal Trig Functions[Expected by Sep/Oct 2019]
2PureDifferentiation[Expected by Sep/Oct 2019]
2PureDifferentiationChain Rule
2PureDifferentiationImplicit Differentiation
2PureIntegrationStandard Integrals
2PureIntegrationMethods for Trig Integration
2PureIntegrationIntegration by Substitution
2PureIntegrationIntegration by Parts
2PureIntegrationIntegration Using Partial Fractions
2PureIntegrationFurther Integration With Partial Fractions
2PureIntegrationStandard Integrals
2PureIntegrationChoosing the Correct Method
2PureProofProof By Contradiction
2PureDifferentiationConvexity, Concavity and Points of Inflection
2PureParametric EquationsIntro to Parametric Equations
2PureParametric EquationsParametric Differentiation
2PureParametric EquationsParametric Integration
2PureDifferentiationConnected Rates of Change Lesson Notes
2PureIntegrationFurther Integration and Area
2PureIntegrationDifferential Equations - Separating the Variables
2PureNumerical MethodsFixed Point Iteration
2PureNumerical MethodsLocating Roots with a Change of Sign
2PureNumerical MethodsNewton Raphson Method
2PureNumerical MethodsTrapezium Rule and Numerical Integration
2PureVectorsVectors in 3d
2MechKinematicsConstant Acceleration in 2d
2MechKinematicsVariable Acceleration in 2d
2MechKinematicsParticles Projected Horizontally
2MechKinematicsTrajectory of a Projectile
2MechForces and MotionResolving Non-Perpendicular Forces
2MechForces and MotionStatic Bodies in 2d
2MechForces and MotionForces on a Slope with Friction
2MechMomentsIntro to Moments
2MechMomentsNon-Uniform Rods Lesson
2StatsConditional ProbabilityProbabilities and Venn Diagrams
2StatsConditional ProbabilityConditional Probabilities on Venn Diagrams
2StatsConditional ProbabilityFurther Conditional Probability
2StatsNormal DistributionNormal Distribution - Calculating Probabilities
2StatsNormal DistributionNormal Distribution - Calculating Unknown Mean and Variance
2StatsNormal DistributionInverse Normal Distribution
2StatsNormal DistributionHypothesis Test for Sample Mean
2StatsNormal Distribution[Expected April 2019]
2StatsCorrelation and RegressionHypothesis Tests for Correlation