FP2 Tutorials – OCR A Level Maths

Contents

Rational Expressions
Partial Fractions
Graphs of Rational Functions
Polar Coordinates and Curves
Polar Co-ordinates
Equations of Curves
Area Bounded by a Polar Curve
Tangents
Hyperbolic Functions
Hyperbolic Functions
Differentiation
Inverse Trigonometric Functions
Hyperbolic Functions
Series
Maclaurin’s Series
Integration
Standard Integrals Involving Inverse Trigonometric Functions
Standard Integrals Involving Hyperbolic Functions)
Deriving and using reduction formulae
Area Under a Graph
Numerical Solution of Equations
Solution of Equations by Numerical methods

Rational Expressions

Partial Fractions

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    Graphs of Rational Functions

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      Polar Coordinates and Curves

      Polar Coordinates

      1. Converting Cartesian coordinates to polar coordinates

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      Equations of Curves

      1. Converting the equation of a polar curve to Cartesian form
      2. Converting the equation of a Cartesian curve to polar form
      3. Sketching polar curves a spiral

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      Area Bounded by a Polar Curve

      1. Exam Questions - Area bounded by a polar curve

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      Tangents

      1. Exam Questions - Tangents

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      Hyperbolic Functions

      Hyperbolic Functions

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        Differentiation

        Inverse Trigonometric Functions

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          Hyperbolic Functions

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            Series

            Maclaurin’s Series

            1. Maclaurin's series expansion
            2. Series expansion for ex
            3. Exam Questions - Maclaurin’s series

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            Integration

            Standard Integrals Involving Inverse Trigonometric Functions

            1. Integrals of the form 1/(a2+x2) and 1/√(a2-x2)

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            Standard Integrals Involving Hyperbolic Functions

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              Deriving and using reduction formulae

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                Area Under a Graph

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                  Numerical Solution of Equations

                  Solution of Equations by Numerical methods

                  1. Exam Questions - Newton-Raphson

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