A Level Maths
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Syllabus
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Cheat sheets
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Pure 1: Algebraic Methods
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Tuesday August 29th
Assignment 1 - due in September 12th
Algebraic Fractions: add, subtract, multiply, divide
Partial Fractions
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Thursday August 31st
Algebraic Division
Proof by Contradiction
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Tuesday September 12th - Assignment 1 due in
Assignment 2 - due in on September 18th
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
Inverse Functions (Q4)
Combining Transformations (Q5)
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Monday September 18th - Assignment 2 due in
Assignment 3 - due in September 26th
Proof that there are infinitely many prime numbers
Sigma Notation
Arithmetic Sequences and Series Q1c, 3b, 7, 9, 12, 14ab, 16, 19
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
Increasing, Decreasing and Periodic Functions
Modelling with Series
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Tuesday September 26th - Assignment 3 due in
Assignment 4
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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