A Level Maths
Syllabus


Cheat sheets
Pure 1: Algebraic Methods


Tuesday August 29th
Assignment 1  due in September 12th
Algebraic Fractions: add, subtract, multiply, divide
Partial Fractions

Thursday August 31st
Algebraic Division
Proof by Contradiction

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)

Friday September 15th
Functions, Mapping, Domain and Range (Q3aeh, Q4def, Q5abc
Inverse Functions (Q4)
Combining Transformations (Q5)

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

Thursday September 21st
Geometric Sequences and Series Q1abc, 5bgh, 7, 14, 18
Increasing, Decreasing and Periodic Functions
Modelling with Series

Tuesday September 26th  Assignment 3 due in
Assignment 4
Binomial Expansion

Thursday September 28th
Binomial Expansion and Partial Fractions

Tuesday October 3rd
Radians, Arcs, Sectors, Segments

Thursday October 5th
Trig Equations

Tuesday October 10th
Small Angle Approximations
Secant, Cosecant, Cotangent

Thursday October 12th
Trig Identities
Inverse Trig Functions

Tuesday October 17th
Revision

Thursday October 19th
Revision

Tuesday October 24th
Statistics: Exponential Models
Statistics: Measuring correlation

Thursday October 26th
Statistics: Hypothesis testing for zero correlation

Tuesday October 31st
Statistics: Set Notation
Statistics: Conditional Probability

Thursday November 2nd
Statistics: Venn Diagrams
Statistics: Conditional Probability

Tuesday November 7th
Statistics: Probability formulae
Statistics: Tree Diagrams

Thursday November 9th

Tuesday November 14th
Mechanics: Moments

Thursday November 16th
Mechanics: Equilibrium
Mechanics: Centre Of Mass

Tuesday November 21st
Mechanics: Tilting

Thursday November 23rd
Mechanics: Resolving Forces
Mechanics: Planes

Tuesday November 28th
Mechanics: Friction

Thursday November 30th
Mechanics: Projectiles

Tuesday December 5th
Mechanics: Horizontal and Vertical Components
Mechanics: Projection at any Angle

Thursday December 7th
Mechanics: Projectile Formulae

Tuesday December 12th
Trig Formulae  addition and double angle

Thursday December 14th
Further trig equations

Tuesday January 9th
Trig identities
Modelling with trig functions

Thursday January 11th
Parametric Equations
Using trig identities

Tuesday January 16th
Curve sketching
Modelling with parametric equations

Thursday January 18th
Differentiating sin x and cos x
Differentiating exponentials and logarithms

Tuesday January 23rd
Chain rule
Product rule
Quotient rule

Thursday January 25th
Differentiating trig functions
Parametric differentiation
Implicit differentiation

Tuesday January 30th
Using second derivatives
Rates of change

Thursday February 1st
Locating roots
Iteration

Tuesday February 6th
Newton Raphson method
Applications to modelling

Thursday February 8th
Integrating standard functions
Integrating f(ax+b)

Tuesday February 13th
Integration using trig identities
Integration using reverse chain rule

Thursday February 15th
Integration by substitution
Integration by parts

Tuesday February 20th
Integration using partial fractions
Integration to find areas

Thursday February 22nd
Integration using the trapezium rule
Solving differential equations
Modelling with differential equations

Tuesday February 27th
3D Coordinates
Vectors in 3D

Thursday February 29th
Solving geometric problems
Applications of vectors to mechanics

Tuesday March 5th
Statistics: The normal distribution
Statistics: Finding probabilities

Thursday March 7th
Statistics: Inverse normal distribution
Statistics: Standard normal distribution

Tuesday March 12th
Statistics: Finding mean and standard deviation
Statistics: Approximating a binomial distribution

Thursday March 14th
Statistics: Hypothesis testing with a normal distribution

Tuesday March 19th
Mechanics: Static particles
Mechanics: Modelling with statics

Thursday March 21st
Mechanics: Friction and static particles
Mechanics: Static rigid bodies

Tuesday March 26th
Mechanics: Statics and inclined planes
Mechanics: Connected particles

Thursday March 28th
Mechanics: Vectors in kinematics
Mechanics: Vector methods with projectiles

Tuesday April 2nd
Mechanics: Variable acceleration in one dimension
Mechanics: Integrating vectors

Thursday April 4th
Mechanics: Integrating vectors

Tuesday April 9th

Thursday April 11th

Tuesday April 16th

Thursday April 18th

Tuesday April 23rd

Thursday April 25th

Tuesday April 30th

Thursday May 2nd

Tuesday May 7th

Thursday May 9th

Tuesday May 14th

Thursday May 16th

Tuesday May 21st

Thursday May 23rd

Tuesday May 28th

Thursday May 30th

Tuesday June 4th
Pure Maths Paper 1

Thursday June 6th

Tuesday June 11th
Pure Maths Paper 2

Thursday June 13th

Tuesday June 18th

Thursday June 20th
Statistics & Mechanics Paper

Proofs

