Algebra & Functions

Modulus Functions

Sketching Graphs of Modulus Functions

Solving Equations with Modulus Functions

Polynomials

Polynomial Division

Factor & Remainder Theorem

Factorisation

Rational Expressions

Improper Algebraic Fractions

Further Modelling with Functions

Further Modelling with Functions

Logarithms & Exponentials

Logarithmic & Exponential Functions

Exponential Functions

Logarithmic Functions

"e"

Derivatives of Exponential Functions

Laws of Logarithms

Laws of Logarithms

Exponential Equations

Modelling with Logarithms & Exponentials

Exponential Growth & Decay

Using Exponentials & Logarithms in Modelling

Logarithmic Graphs

Trigonometry

Reciprocal Trigonometric Functions

Definitions of Reciprocal Trigonometric Functions

Graphs of Reciprocal Trigonometric Functions

Identities with Reciprocal Trigonometric Functions

Compound & Double Angle Formulae

Compound Angle Formulae

Double Angle Formulae

Harmonic Form

Further Trigonometric Equations

Strategy for Further Trigonometric Equations

Trigonometric Proof

Trigonometric Proof

Differentiation

Further Differentiation

Differentiating Other Functions

Product Rule

Quotient Rule

Implicit Differentiation

Implicit Differentiation

Differentiation of Parametric Equations

Basics of Parametric Equations

Eliminating the Parameter of Parametric Equations

Sketching Graphs of Parametric Equations

Parametric Differentiation

Integration

Further Integration

Integrating Other Functions

Integrating with Trigonometric Identities

Trapezium Rule (Numerical Integration)

Numerical Methods

Numerical Solutions of Equations

Change of Sign

Failure of the Change of Sign Method

x = g(x) Iteration

Exam boards

• Cambridge (CIE) AS Maths: Pure 1
• Cambridge (CIE) AS Maths: Mechanics
• Cambridge (CIE) AS Maths: Probability & Statistics 1
• Edexcel AS Maths: Pure
• Edexcel AS Maths: Statistics

Study tools

• Cambridge (CIE) AS Maths · Exam Questions
• Cambridge (CIE) AS Maths · Past Papers

Related links

• AS Maths · Revision Notes
• AS Maths · Exam Questions
• AS Maths · Past Papers