A Level Maths
Syllabus
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Cheat sheets
Pure 1: Algebraic Methods
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Tuesday August 29th
Assignment 1 - due in September 12th
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Algebraic Fractions: add, subtract, multiply, divide
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Partial Fractions
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Thursday August 31st
Algebraic Division
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Proof by Contradiction
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Tuesday September 12th - Assignment 1 due in
Assignment 2 - due in on September 18th
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The Modulus Function and Composite Functions (Q1, Q2, Q3def, Q5ghi, Q6abc, Q7)
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Friday September 15th
Functions, Mapping, Domain and Range (Q3aeh, Q4def, Q5abc
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Inverse Functions (Q4)
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Combining Transformations (Q5)
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Monday September 18th - Assignment 2 due in
Assignment 3 - due in September 26th
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Proof that there are infinitely many prime numbers
Sigma Notation
Arithmetic Sequences and Series Q1c, 3b, 7, 9, 12, 14ab, 16, 19
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Recurrence Relations Q1g, 2ae, 3aeh, 7aceg, 8df, 13, 15
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Thursday September 21st
Geometric Sequences and Series Q1abc, 5bgh, 7, 14, 18
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Increasing, Decreasing and Periodic Functions
Modelling with Series
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Tuesday September 26th - Assignment 3 due in
Assignment 4
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Binomial Expansion
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Thursday September 28th
Binomial Expansion and Partial Fractions
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Tuesday October 3rd
Radians, Arcs, Sectors, Segments
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Thursday October 5th
Trig Equations
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Tuesday October 10th
Small Angle Approximations
Secant, Cosecant, Cotangent
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Thursday October 12th
Trig Identities
Inverse Trig Functions
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Tuesday October 17th
Revision
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Thursday October 19th
Revision
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Tuesday October 24th
Statistics: Exponential Models
Statistics: Measuring correlation
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Thursday October 26th
Statistics: Hypothesis testing for zero correlation
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Tuesday October 31st
Statistics: Set Notation
Statistics: Conditional Probability
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Thursday November 2nd
Statistics: Venn Diagrams
Statistics: Conditional Probability
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Tuesday November 7th
Statistics: Probability formulae
Statistics: Tree Diagrams
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Thursday November 9th
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Tuesday November 14th
Mechanics: Moments
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Thursday November 16th
Mechanics: Equilibrium
Mechanics: Centre Of Mass
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Tuesday November 21st
Mechanics: Tilting
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Thursday November 23rd
Mechanics: Resolving Forces
Mechanics: Planes
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Tuesday November 28th
Mechanics: Friction
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Thursday November 30th
Mechanics: Projectiles
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Tuesday December 5th
Mechanics: Horizontal and Vertical Components
Mechanics: Projection at any Angle
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Thursday December 7th
Mechanics: Projectile Formulae
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Tuesday December 12th
Trig Formulae - addition and double angle
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Thursday December 14th
Further trig equations
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Tuesday January 9th
Trig identities
Modelling with trig functions
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Thursday January 11th
Parametric Equations
Using trig identities
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Tuesday January 16th
Curve sketching
Modelling with parametric equations
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Thursday January 18th
Differentiating sin x and cos x
Differentiating exponentials and logarithms
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Tuesday January 23rd
Chain rule
Product rule
Quotient rule
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Thursday January 25th
Differentiating trig functions
Parametric differentiation
Implicit differentiation
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Tuesday January 30th
Using second derivatives
Rates of change
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Thursday February 1st
Locating roots
Iteration
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Tuesday February 6th
Newton- Raphson method
Applications to modelling
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Thursday February 8th
Integrating standard functions
Integrating f(ax+b)
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Tuesday February 13th
Integration using trig identities
Integration using reverse chain rule
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Thursday February 15th
Integration by substitution
Integration by parts
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Tuesday February 20th
Integration using partial fractions
Integration to find areas
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Thursday February 22nd
Integration using the trapezium rule
Solving differential equations
Modelling with differential equations
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Tuesday February 27th
3D Co-ordinates
Vectors in 3D
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Thursday February 29th
Solving geometric problems
Applications of vectors to mechanics
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Tuesday March 5th
Statistics: The normal distribution
Statistics: Finding probabilities
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Thursday March 7th
Statistics: Inverse normal distribution
Statistics: Standard normal distribution
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Tuesday March 12th
Statistics: Finding mean and standard deviation
Statistics: Approximating a binomial distribution
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Thursday March 14th
Statistics: Hypothesis testing with a normal distribution
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Tuesday March 19th
Mechanics: Static particles
Mechanics: Modelling with statics
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Thursday March 21st
Mechanics: Friction and static particles
Mechanics: Static rigid bodies
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Tuesday March 26th
Mechanics: Statics and inclined planes
Mechanics: Connected particles
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Thursday March 28th
Mechanics: Vectors in kinematics
Mechanics: Vector methods with projectiles
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Tuesday April 2nd
Mechanics: Variable acceleration in one dimension
Mechanics: Integrating vectors
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Thursday April 4th
Mechanics: Integrating vectors
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Tuesday April 9th
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Thursday April 11th
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Tuesday April 16th
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Thursday April 18th
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Tuesday April 23rd
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Thursday April 25th
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Tuesday April 30th
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Thursday May 2nd
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Tuesday May 7th
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Thursday May 9th
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Tuesday May 14th
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Thursday May 16th
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Tuesday May 21st
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Thursday May 23rd
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Tuesday May 28th
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Thursday May 30th
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Tuesday June 4th
Pure Maths Paper 1
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Thursday June 6th
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Tuesday June 11th
Pure Maths Paper 2
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Thursday June 13th
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Tuesday June 18th
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Thursday June 20th
Statistics & Mechanics Paper
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Proofs
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