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Higher Mathematics
Home
The Whole Course
Algebra
Functions
A1 Composite Functions
A2 Completing the Square
A3 Graph Transformations
A4 Inverse Functions
A5 Graph of f'(x)
Recurrence Relations
A6 Determine and use recurrence relation
A7 Finding the Limit
Quadratics
A8 Quadratic Inequalities
A9 Discriminant/Nature of Roots
Polynomials
A10 Factorising a Polynomial
A11 Solving a Polynomial Equation
A12 Points of Intersection
Logs and Exponentials
A13 Simplifying Numerical Expressions
A14 Using the Laws of Logs
A15 Solving Log & Exponential Equations
A16 Solve for a and b
A17 Straight Lines and Exponential Relationships
A18 Modelling Using Logs and Exponentials
A19 Inverse Graphs
Calculus
Differentiation
C1 Differentiate expressions (powers of x)
C2 Equations of Tangents
C3 Increasing or Decreasing Functions
C4 Stationary Points and Graphing Functions
C5 Differentiating Sine and Cosine
C6 Chain Rule
C7 Optimisation
C8 Rate of Change
Integration
C9 Integrating Powers of x
C10 Integrating (ax+b)^n
C11 Integrating pcosx & psinx
C12 Integrating pcos(qx+r) & psin(qx+r)
C14 Solving Differential equations
C15 Definite Integrals
C16 Area between Curve and X-axis
C17 Area between curves and lines
C18 Find function given rate of change
Trigonometry
T1 Trig Equations
T2 Addition and Double Angle Formulae
T3 Application of Trig Identities
T4 Wave Equations
Geometry
Straight Lines
G1 Parallel and Perpendicular Lines
G2 Using m=tanθ
G3 Medians, Altitudes & Bisectors
G4 Determine if Lines are Perpendicular
Circles
G5 Equation of a Circle
G6 Tangents to Circles
G7 Intersection of Lines & Circles
Vectors
G8 3D Vector Pathways
G9 Collinearity
G10 Point of Division of a Line
G11 Scalar Product & Angle Between Vectors
G12 Properties of Scalar Product
G13 Unit vectors i, j, k
Higher Mathematics
Home
The Whole Course
Algebra
Functions
A1 Composite Functions
A2 Completing the Square
A3 Graph Transformations
A4 Inverse Functions
A5 Graph of f'(x)
Recurrence Relations
A6 Determine and use recurrence relation
A7 Finding the Limit
Quadratics
A8 Quadratic Inequalities
A9 Discriminant/Nature of Roots
Polynomials
A10 Factorising a Polynomial
A11 Solving a Polynomial Equation
A12 Points of Intersection
Logs and Exponentials
A13 Simplifying Numerical Expressions
A14 Using the Laws of Logs
A15 Solving Log & Exponential Equations
A16 Solve for a and b
A17 Straight Lines and Exponential Relationships
A18 Modelling Using Logs and Exponentials
A19 Inverse Graphs
Calculus
Differentiation
C1 Differentiate expressions (powers of x)
C2 Equations of Tangents
C3 Increasing or Decreasing Functions
C4 Stationary Points and Graphing Functions
C5 Differentiating Sine and Cosine
C6 Chain Rule
C7 Optimisation
C8 Rate of Change
Integration
C9 Integrating Powers of x
C10 Integrating (ax+b)^n
C11 Integrating pcosx & psinx
C12 Integrating pcos(qx+r) & psin(qx+r)
C14 Solving Differential equations
C15 Definite Integrals
C16 Area between Curve and X-axis
C17 Area between curves and lines
C18 Find function given rate of change
Trigonometry
T1 Trig Equations
T2 Addition and Double Angle Formulae
T3 Application of Trig Identities
T4 Wave Equations
Geometry
Straight Lines
G1 Parallel and Perpendicular Lines
G2 Using m=tanθ
G3 Medians, Altitudes & Bisectors
G4 Determine if Lines are Perpendicular
Circles
G5 Equation of a Circle
G6 Tangents to Circles
G7 Intersection of Lines & Circles
Vectors
G8 3D Vector Pathways
G9 Collinearity
G10 Point of Division of a Line
G11 Scalar Product & Angle Between Vectors
G12 Properties of Scalar Product
G13 Unit vectors i, j, k
More
Home
The Whole Course
Algebra
Functions
A1 Composite Functions
A2 Completing the Square
A3 Graph Transformations
A4 Inverse Functions
A5 Graph of f'(x)
Recurrence Relations
A6 Determine and use recurrence relation
A7 Finding the Limit
Quadratics
A8 Quadratic Inequalities
A9 Discriminant/Nature of Roots
Polynomials
A10 Factorising a Polynomial
A11 Solving a Polynomial Equation
A12 Points of Intersection
Logs and Exponentials
A13 Simplifying Numerical Expressions
A14 Using the Laws of Logs
A15 Solving Log & Exponential Equations
A16 Solve for a and b
A17 Straight Lines and Exponential Relationships
A18 Modelling Using Logs and Exponentials
A19 Inverse Graphs
Calculus
Differentiation
C1 Differentiate expressions (powers of x)
C2 Equations of Tangents
C3 Increasing or Decreasing Functions
C4 Stationary Points and Graphing Functions
C5 Differentiating Sine and Cosine
C6 Chain Rule
C7 Optimisation
C8 Rate of Change
Integration
C9 Integrating Powers of x
C10 Integrating (ax+b)^n
C11 Integrating pcosx & psinx
C12 Integrating pcos(qx+r) & psin(qx+r)
C14 Solving Differential equations
C15 Definite Integrals
C16 Area between Curve and X-axis
C17 Area between curves and lines
C18 Find function given rate of change
Trigonometry
T1 Trig Equations
T2 Addition and Double Angle Formulae
T3 Application of Trig Identities
T4 Wave Equations
Geometry
Straight Lines
G1 Parallel and Perpendicular Lines
G2 Using m=tanθ
G3 Medians, Altitudes & Bisectors
G4 Determine if Lines are Perpendicular
Circles
G5 Equation of a Circle
G6 Tangents to Circles
G7 Intersection of Lines & Circles
Vectors
G8 3D Vector Pathways
G9 Collinearity
G10 Point of Division of a Line
G11 Scalar Product & Angle Between Vectors
G12 Properties of Scalar Product
G13 Unit vectors i, j, k
A4 Inverse Functions
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