01
The Straight Line
9 topics02
Recurrence Relations
5 topics03
Functions & Graphs
9 topicsIntroduction, Domain & Range VideoComposite Functions Video 3 examplesInverse Functions Video 2 examplesGraphs of Inverse Functions Video 1 exampleGraph Transformations Video 2 examplesCompleting the Square 3 examplesExponential Functions Video 2 examplesLogarithmic Functions Video 2 examplesLogarithmic Graphs Video 2 examples
04
Polynomials & Quadratics
10 topicsIntroduction to Polynomials VideoEvaluation Video 1 exampleFinding Unknown Coefficients Video 2 examplesFactorising Video 2 examplesFinding Roots Video 1 exampleDetermining the Equation of a Graph Video 2 examplesIntersection of Two Graphs Video 1 exampleDiscriminant Video 3 examplesIntersection of Lines and Parabolas Video 2 examplesSolving Quadratic Inequalities Video 5 examples
05
Circles
7 topics06
Differentiation
15 topicsIntroduction & First Principles Video 1 exampleDifferentiating Terms (Positive, Negative & Fractional Indices) Video 5 examplesPreparing to Differentiate 1 – Brackets Video 2 examplesPreparing to Differentiate 2 – Indices Video 5 examplesPreparing to Differentiate 3 – Indices and Fractions Video 3 examplesDifferentiating sin x and cos x Video 2 examplesRates of Change Video 3 examplesEquations of Tangents Video 3 examplesIncreasing and Decreasing Curves Video 2 examplesStationary Points & Curve Sketching Video 3 examplesMaximum and Minimum Values Video 1 exampleOptimisation Video 2 examplesGraphs of Derived Functions Video 3 examplesFurther Differentiation of Brackets Video 4 examplesFurther Differentiation of Trigonometric Functions Video 4 examples
07
Integration
9 topicsIntroduction VideoIndefinite Integrals Video 9 examplesDifferential Equations Video 2 examplesDefinite Integrals Video 4 examplesArea Under a Curve Video 2 examplesArea Between Curves Video 3 examplesArea Under the x-axis Video 1 exampleFurther Integration of Brackets Video 2 examplesFurther Integration of Trigonometric Functions Video 3 examples
08
Trigonometry
19 topicsRadian Measure Video 4 examplesExact Values VideoExact Values of Related Angles Video 6 examplesSolving Basic Trigonometric Equations Video 4 examplesTrigonometric Equations with Multiple Angles Video 2 examplesTrigonometric Equations with Square Terms Video 2 examplesQuadratic Trigonometric Equations Video 2 examplesCompound Angles Video 3 examplesUsing Trigonometric Ratios 2 examplesDouble Angle Formulae Video 4 examplesTrigonometric Identities Video 1 exampleFurther Trigonometric Equations Video 3 examplesSolving Simultaneous Equations Video 1 exampleUsing the Addition Formula Video 2 examplesWave Function Video 3 examplesMultiple Angles Video 1 exampleMinimum and Maximum Values Video 1 exampleSketching Graphs Video 1 exampleSolving Equations Video 2 examples
09
Exponentials & Logarithms
7 topicsProperties of Logarithmic Functions Video 3 examplesWorking with Logarithmic Functions Video 2 examplesFurther Logarithmic Equations Video 4 examplesExponentials & Logarithms to the Base e Video 2 examplesSolving Equations with Unknown Exponents Video 4 examplesExponential Growth & Decay Video 2 examplesExperimental Data & Linear Models Video 2 examples
10
Vectors
11 topicsRevision of N5 Vectors VideoRevision of Position Vectors Video 1 exampleCollinearity Video 2 examplesDividing Lines in a Given Ratio Video 1 exampleUnit Vectors Video 1 exampleUnit Vector Form Video 2 examplesScalar/Dot Product (1) Video 2 examplesScalar/Dot Product (2) Video 1 examplePerpendicular Vectors Video 2 examplesAngle Between Vectors Video 2 examplesProperties of the Scalar Product Video 2 examples