A Level Maths
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Syllabus
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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 - due in on October 3rd
Binomial Expansion
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Thursday September 28th
Binomial Expansion and Partial Fractions
Further Questions
Assignment 2 Question 8b Solution
Test Solutions
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Tuesday October 3rd - Assignment 4 due in
Assignment 5 - due in October 10th
Radians, Arcs, Sectors, Segments
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Thursday October 5th
Trig Equations
Small Angle Approximations
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Monday October 9th - Assignment 5 due in
Assignment 6 - due in October 17th
Secant, Cosecant, Cotangent
Trig Identities
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Tuesday October 10th
There is no face-to-face lesson today but I recommend that you complete this worksheet in your own study time.
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Tuesday October 17th - Assignment 6 due in
Assignment 7 - due in October 24th
Inverse Trig Functions
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Thursday October 19th
Statistics: Exponential Models
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Tuesday October 24th - Assignment 7 due in
Assignment 8 - due in October 31st
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Friday October 27th
Statistics: Measuring correlation
Statistics: Hypothesis Testing for zero correlation
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Tuesday October 31st - Assignment 8 due in
Assignment 9 - due in November 7th
Statistics: Conditional Probability
Statistics: Set Notation
Statistics: Venn Diagrams
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Thursday November 2nd
Statistics: Probability formulae
Statistics: Tree Diagrams
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Tuesday November 7th - Assignment 9 due in
Assignment 10 - due in November 14th
Mechanics: Moments
Mechanics: Equilibrium
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Thursday November 9th
Mechanics: Moments and Tilting
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Tuesday November 14th - Assignment 10 due in
Assignment 11 - due in November 21st
No lesson
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Thursday November 16th
No lesson
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Tuesday November 21st - Assignment 11 due in
Assignment 12 - due in November 28th
Mechanics: Resolving Forces, Planes, Friction
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Thursday November 23rd
Further Questions on Forces
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Tuesday November 28th - Assignment 12 due in
Assignment 13 - due in December 5th
Mechanics: Projectiles
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Thursday November 30th
No lesson
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Tuesday December 5th - Assignment 13 due in
Assigment 14 - due in December 12th
Trig Formulae - addition and double angle
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Thursday December 7th
Further trig equations
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Tuesday December 12th - Assignment 14 due in
Trig identities
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Thursday December 14th
Modelling with trig functions
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Thursday January 4th
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Tuesday January 9th - Assignment 15 due in
Parametric Equations
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Thursday January 11th
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
Revision
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Thursday April 11th
Revision
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Tuesday April 16th
Revision
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Thursday April 18th
Revision
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Tuesday April 23rd
Revision
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Thursday April 25th
Revision
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Tuesday April 30th
Revision
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Thursday May 2nd
Revision
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Tuesday May 7th
Revision
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Thursday May 9th
Revision
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Tuesday May 14th
Revision
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Thursday May 16th
Revision
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Tuesday May 21st
Revision
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Thursday May 23rd
Revision
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Tuesday May 28th
Revision
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Thursday May 30th
Revision
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Tuesday June 4th
Pure Maths Paper 1
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Thursday June 6th
Revision
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Tuesday June 11th
Pure Maths Paper 2
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Thursday June 13th
Revision
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Tuesday June 18th
Revision
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Thursday June 20th
Statistics & Mechanics Paper
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Proofs
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