Further Maths Revision Notes

YearStrandTopicLink
1Pure CoreMatricesDeterminants and Inverses of 2×2 Matrices
1Pure CoreMatricesDeterminants and Inverses of 3×3 Matrices
1Pure CoreMatricesIntro To Matrix Transformations
1Pure CoreMatricesEnlargements and Stretches
1Pure CoreMatricesRotations and Reflections
1Pure CoreMatricesShears
1Pure CoreMatricesOrder of Multiple Transformations
1Pure CoreMatrices3d Matrix Transformations
1Pure CoreMatricesVisualising 3D Transformations
1Pure CoreMatricesInvariant Lines and Points
1Pure CoreProof By InductionProof By Induction (Divisibility)
1Pure CoreProof By InductionProof By Induction (Recurrence Relations)
1Pure CoreProof By Induction[To be uploaded]
1Pure CoreProof By InductionProof By Induction (Inequalities)
1Pure CoreComplex Numbers[To be uploaded]
1Pure CoreRoots of Polynomials[To be uploaded]
1StatsCombinatoricsPermutations And Combinations
1StatsDiscrete Random VariablesExpectation and Standard Deviation of Discrete Random Variables
1StatsDiscrete Random VariablesVariance and Expectation of Coded Data
1StatsProbability DistributionsBinomial Distribution
1StatsProbability DistributionsGeometric Distribution
1StatsProbability DistributionsPoisson Distribution
1StatsProbability DistributionsSum of Two Poisson Distributions
1StatsProbability DistributionsDiscrete Uniform Distribution
1StatsCorrelation and RegressionPMCC
1StatsCorrelation and RegressionSpearman’s Rank
1StatsCorrelation and RegressionLeast Squares Regression Line
1StatsCorrelation and RegressionThe Effects of Coding on the Regression Line
1StatsCorrelation and RegressionHypothesis Testing for Correlation Coefficients
1StatsChi-Squared TestsChi-Squared Tests for Goodness of Fit
1StatsChi-Squared TestsChi-Squared Tests for Independence
1StatsChi-Squared TestsYates’ Correction
2Pure CoreComplex NumbersExponential Form of Complex Numbers
2Pure CoreComplex NumbersDeMoivres Theorem and Application to Series
2Pure CoreComplex NumbersDeMoivres Theorem and Application to Trig
2Pure CoreCalculusDifferentiating Inverse Trig Functions
2Pure CoreCalculusDifferentiating Inverse Hyperbolic Functions
2Pure CoreCalculusImproper Integrals
2Pure CoreCalculusMean Value of a Function
2Pure CoreCalculusVolumes of Revolution
2Pure CoreCalculusMaclaurin Expansion
2Pure CoreFirst Order Differential EquationsThe Integrating Factor Method for FODEs
2Pure CoreFirst Order Differential EquationsSketching Families of Solutions for FODEs
2Pure CoreFirst Order Differential EquationsForming FODEs Using Substitution
2Pure CoreSecond Order Differential EquationsHomogeneous SODEs
2Pure CoreSecond Order Differential EquationsNonhomogeneous SODEs and Boundary Conditions
2Pure CoreModelling With Differential EquationsSimple Harmonic Motion
2Pure CoreModelling With Differential EquationsDamped and Forced Harmonic Motion
2Pure CoreModelling With Differential EquationsCoupled First Order Simultaneous Differential Equations