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(1) Quadratics

• Completing The Square
• Discriminants
• Solving Quadratic Equations & Inequalities
• Simultaneous Equations

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(2) Functions

• Basic Definitions
• Ranges & Composite Functions
• One-To-One Functions & Inverse

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(3) Coordinate geometry

• Line Segments: Length, Gradient, Mid-Point
• Equation of Straight Line
• Gradients of Parallel & Perpendicular Lines
• Relationship between Graphs & Algebraic Equations

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(4) Circular measure

• Definition of Radians
• Arc Length
• Sector Area

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(5) Trigonometry

• Graphs of Trig Functions
• Common Trig Values
• Inverse Trig Functions
• Trig Identities
• Solving Trig Equations

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(6) Vectors

• Notations
• Addition & Subtraction of Vectors
• Multiplication with Scalars
• Unit Vectors, Displacement Vectors, Position Vectors
• Magnitude of Vectors
• Scalar Products of Two Vectors (Dot Products)

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(7) Series

• Binomial Expansions
• Arithmetic & Geometric Progressions
• Finding the nth Term & the Sum of the First n Terms
• Convergence & Sums to Infinity

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(8) Differentiation

• Gradient of a Curve
• Rules
• Gradients, Tangents, Normals
• Rates of Change
• Stationary Points

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(9) Integration

• Basics
• Finding Equations of Curves
• Finding Area of Regions Bounded by Curves
• Finding Volumes of Revolution

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