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iGCSE Further Pure Mathematics Edexcel
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iGCSE Further Pure Mathematics Edexcel
free revision notes.
iGCSE Further Pure Mathematics Edexcel
– Topics
Calculus
Application of Calculus to Rates of Change and Connected Rates of Change
Equations of Tangents and Normals to the Curve y=f(x)
Maxima and Minima
Stationary Points and Turning Points
Applications to Simple Linear Kinematics and to Determination of Areas and Volumes
Differentiation of a Product, Quotient and Simple Cases of a Function of a Function
Differentiation and Integration of Sums of Multiples of Powers of x
Core
Trigonometry
Rectangular Cartesian coordinates
Calculus
Scalar and vector quantities
The binomial series
Series
Graphs
Identities and inequalities
The quadratic function
Logarithmic functions
Graphs
Solution of Equations and Transcendental Functions by Graphical Methods
Graphs of Polynomials and Rational Functions with Linear Denominators
Identities and Inequalities
Graphical Representation of Linear Inequalities in 2 Variables
Simple Inequalities (Linear and Quadratic)
Solutions of Equations
The Factor and Remainder Theorems
Simple Algebraic Division
Logarithmic Functions and Indices
Rationalising the Denominator
Simple Manipulation of Surds
Use and Properties of Indices and Logarithms
Functions a^x and log_b x
Rectangular Cartesian Coordinates
The Condition for Two Lines to be Parallel or Perpendicular
The Straight Line and its Equation
Gradient of a Straight Line Joining Two Points
The Point Dividing a Line in a Given Ratio
The Distance between Two Points
Scalar and Vector Quantities
Use of Vectors to Establish Simple Properties of Geometrical Figures
Unit Vector
Position Vector
Magnitude of a Vector
Components and Resolved Parts of a Vector
Multiplication of a Vector by a Scalar
Addition and Subtraction of Coplanar Vectors
Series
Use of the Binomial Series (1 + x)^n
Arithmetic and Geometric Series
Use of Summation Notation
The Quadratic Function
Simple Examples Involving Functions of the Roots of a Quadratic Equation
Roots of a Quadratic Equation
Manipulation of Quadratic Expressions
Trigonometry
Solution of Simple Trigonometric Equations for a Given Interval
Use of Basic Addition Formulae of Trigonometry
Use of Identity tan θ = sin θ / cos θ
The Identity cos^2 θ + sin^2 θ = 1
Use of Sine and Cosine Formulae
Applications to Simple Problems in Two or Three Dimensions
Three Basic Trigonometric Ratios of Angles of any Magnitude and their Graphs
Radian Measure