notes
Edexcel A'Level
Specification for the Edexcel A’Level Mathematics
Paper 1 and Paper 2: Pure Mathematics

Proof

Algebra and Functions
 Indices?
 Surds? and Rationalising the Denominator?
 Quadratics?
 Completing the Square?
 Discriminant?
 Quadratic Formula?
 Simultaneous Equations?
 Inequalities?
 Polynomials?
 Factorisation?
 Algebraic Division?
 Factor Theorem?
 Algebraic Fractions?
 Graphs? including reciprocals? and the modular function?
 Composite functions? and Inverse Functions?
 Transformations of Graphs?
 Partial Fractions?
 Modelling? using functions

Coordinate Geometry in the $(x,y)$Plane
 Equation of a Straight Line?, including Parallel? and Perpendicular?
 Equation of a Circle?
 Parametric Functions?
 Modelling using parametric functions

Sequences and Series
 Binomial Expansion?
 Sequences?
 Sigma Notation?
 Arithmetic Series?
 Geometric Series?
 Modelling using sequences and series

Trigonometry
 Trigonometry?
 Radians?
 Small Angle Approximation?
 Trigonometric Graphs?
 Inverse Trigonometric Functions? and Reciprocal Trigonometric Functions?
 Trigonometric Identities?
 Compound Angle Formula?
 Trigonometric Equations?
 Proofs involving trigonometric functions
 Modelling using trigonometric functions

Exponentials and Logarithms
 Exponential Functions? including e^x?
 Derivative of the Exponential Function?
 Logarithm Functions? including ln?
 Laws of Logarithms?
 Solving equations using logarithms
 Logarithmic Graphs?
 Modelling using Exponential Functions?

Differentiation
 Derivative? as gradient of a function
 Differentiation of Powers?, of trigonometric functions?, and of exponential and logarithmic functions?
 Using differentiation to find the equations of Tangents? and Normals?
 The Chain Rule?, The Product Rule?, and The Quotient Rule?
 Implicit Differentiation? and Parametric Differentiation?
 Differential Equations?

Integration
 Fundamental Theorem of Calculus?
 Integration of Powers?, of reciprocals?, of trigonometric functions?, and of exponential and logarithmic functions?
 Definite Integration?
 Riemann Sums?
 Integration by Substitution? and Integration by Parts?
 Integration of Partial Fractions?
 Solve simple Differential Equations?
 Modelling using differential equations

Numerical Methods
 Change of Sign Test?
 Iteration Methods?
 NewtonRaphson?
 Numerical Integration?
 Solving problems by numerical methods

Vectors
 Vectors?
 Magnitude? and Direction? of a vector
 Vector Addition and Scaling?
 Position Vectors?
Paper 3: Statistics and Mechanics

Statistical Sampling
 Statistical Sampling?

Data Presentation and Interpretation
 Interpreting diagrams, including Histograms?, Frequency Polygons?, Box and Whisker Plots? (including Outliers?) and Cumulative Frequency Diagrams?
 Scatter Diagrams? and Regression Lines?, Correlation?
 Measures of central tendency: Mean, Median, and Mode. Measures of variation: Variance?, Standard Deviation?, Range?, Interpercentile Ranges?
 Outliers?

Probability
 Mutually Exclusive? and Independent? events, discrete? and continuous? distributions
 Conditional Probability?, Venn Diagrams?, and Tree Diagrams?
 Modelling with Probability

Statistical Distributions
 Discrete Probability Distributions? including Uniform Distribution? and Binomial Distribution?
 Normal Distribution?
 Modelling using distributions

Statistical Hypothesis Testing
 Statistical Hypothesis Testing?
 Conduct a statistical hypothesis test using the Binomial distribution
 Conduct a statistical hypothesis test using the Normal distribution

Quantities and Units in Mechanics
 Quantities and Units in Mechanics?

Kinematics
 Language of Kinematics?
 Graphs in Kinematics?
 Constant Acceleration?
 Calculus Methods in Kinematics?
 Projectile Mechanics?

Forces and Newton’s Laws
 Forces? and Newton's First Law?
 Newton's Second Law?
 Motion Under Gravity?
 Newton's Third Law?
 Algebra of Forces?
 Friction?

Moments
 Moments?
Revised on September 3, 2017 01:14:49
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