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A2 Study Notes—Pure Core 3 and 4

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Functions

Volumes of Revolution

Cartesian and Parametric Form

The Modulus Function

Integration - Mid-Ordinate and Simpson’s Rules

Further Trigonometric and Log Integration

Reciprocal and Inverse Trig Functions

Numerical Methods - Formula Iteration

Parametric Integration

The Exponential and Natural Logarithm Functions

Rational Expressions

Differential Equations

Differentiation - Chain, Product and Quotient Rules

Partial Fractions

Vectors

Differentiation - Trig, Log and Exponential Functions

The Binomial Series for Rational Powers

Further Vectors (MEI)

Summary List of Standard Derivatives

Further Trigonometric Identities and Equations

Introduction to Mathematical Proof (MEI)

Integration of Trig, Log and Exponential Functions

Chain Rule - Related Rates of Change

More Curve Sketching (MEI)

Integration by Substitution

Implicit Differentiation

Integration by Parts

Parametric Differentiation