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AS Study Notes—Year 1 Pure

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Algebraic Manipulation

Transformations of Graphs

Introduction to Differentiation

The Binomial Series

Coordinate Geometry - Straight Lines

Maxima and Minima

Polynomials, Factor and Remainder Theorems

Coordinate Geometry - Circles

Tangents and Normals

Indices, Surds and Functions

Solving Special Triangles

Introduction to Integration

Quadratic Equations

The Sine and Cosine Rules

Definite Integrals  - Area Under a Curve

Simultaneous Equations

Trigonometric Graphs

Vectors

Linear and Quadratic Inequalities

Solving Trigonometric Equations

Vector Geometry

Recognising Graphs

Exponential and Logarithmic Functions

Introduction to Mathematical Proof

Curve Sketching

Logarithmic Graphs

 

Direct and Inverse Proportion

The Exponential and Natural Logarithm Functions