Additional Mathematics

IGCSE · 14 topics available

Chapter 1 · Functions

Functions

Function notation, evaluating functions, composite and inverse functions — with an interactive exercise.

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Chapter 2 · Quadratic Functions

Quadratic Functions

Solving quadratics and using the discriminant to find the number of roots — with an interactive exercise.

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Chapter 3 · Factors of Polynomials

Factors of Polynomials

The factor and remainder theorems — with an interactive exercise.

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Chapter 4 · Equations, Inequalities and Graphs

Equations, Inequalities and Graphs

Modulus (absolute value) equations and quadratic inequalities — with an interactive exercise.

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Chapter 5 · Simultaneous Equations

Simultaneous Equations

Solving simultaneous equations by elimination and substitution — with an interactive exercise.

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Chapter 6 · Logarithmic and Exponential Functions

Logarithmic and Exponential Functions

Logarithms, exponentials and the log laws — with an interactive exercise.

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Chapter 7 · Straight-Line Graphs

Straight-Line Graphs

The equation y = mx + c and reducing relationships to linear form — with an interactive exercise.

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Chapter 8 · Coordinate Geometry of the Circle

Coordinate Geometry of the Circle

The equation of a circle, its centre and radius — with an interactive exercise.

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Chapter 9 · Circular Measure

Circular Measure

Radians, arc length and sector area — with an interactive exercise.

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Chapter 10 · Trigonometry

Trigonometry

Exact trig values, identities and solving trig equations — with an interactive exercise.

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Chapter 11 · Permutations and Combinations

Permutations and Combinations

Factorials, permutations and combinations for counting — with an interactive exercise.

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Chapter 12 · Series

Series

Arithmetic and geometric progressions and the binomial expansion — with an interactive exercise.

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Chapter 13 · Vectors in Two Dimensions

Vectors in Two Dimensions

Column vectors, adding vectors and finding magnitude — with an interactive exercise.

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Chapter 14 · Calculus

Calculus

Differentiation (finding gradients) and an introduction to integration — with an interactive exercise.

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