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M34 - Maths Lessons, Homework and Revision Site

AS Further Maths Specification

L64FM Lessons & Blog

Week 29 Jun - 05 Jul

Wednesday Live On-line Lesson 7pm

Higher Derivatives

Video Recording of Live Lesson

Lesson Notes

Please complete Exercise 2B Q2, Q4, Q6 (Q7 optional) and email to me by Sunday 2pm

Next Live Lesson Sunday 7pm

 

Sunday Live On-Line 7pm

MacLaurin Series Expansion

Video Recording of Most of Live Lesson (until time ran out)

Lesson Notes

Please complete Exercise 2C Q2, Q4, Q5 by Thursday and self mark from Exercise 2C Solutions

Next Live Lesson Thursday 7pm

Week 22 - 28 June

Monday Live On-line Lesson

Hyperbolic Equations

Lesson Notes and Homework

Solutions to Exercise 6C

Video Recording of Live Lesson

 

Sunday Live On-line Lesson

Implicit Differentiation

Lesson Notes and Homework

Sorry lads - forgot to press the record button so no video recording available.

Week 15 - 21 June

Differentiation - Chain Rule

Lesson Notes & Homework

Exercise 9C Solutions

 

Differentiation - Product and Quotient Rules

Lesson Notes & Homework

Exercise 9D Solutions

Exercise 9E Solutions

Week 01 - 07 June

Chapter 2 Series 

2.1. Method of Differences

Example 1 (6:14)

Example 2 (7:38)

Example 3 (6:36)

Lesson Notes

Now work through Exercise 2A on Pages 36 & 37 in the textbook.

There are 13 questions. Do at least half of them to gain experience.

Choose questions that look interesting and mark them from Exercise 2A Solutions.

 

Homework to be emailed by Sunday 7 June please.

Week 30 Mar - 05 Apr

This week we will complete EOC Core Pure Paper

Please email me your solutions to Q1-Q6 by Friday 03 April.

Please email me your solutions to Q7-Q12 by Sunday 05 April.

Summer AS Exam Dates

Core Pure 1Monday 11 May pm1 hr 40 min
Mech 1 & Stats 1Thursday 14 May pm1 hr 40 min
   

 

Week 10 - 16 February

Monday Lesson:

Chi Squared

Lesson Notes

Week 03 - 09 February

Monday Lesson:

Vectors Mixed Exercise Continued

Vectors Mixed Exercise Solutions

 

Wednesday Lesson 1:

Vol of Revolution Exercise 5B

Lesson Notes

Solutions to Exercise 5B

 

Wednesday Lesson 2:

Vol of Revolution Exercises 5C and 5D

Lesson Notes

Solutions to Exercise 5C

Solutions to Exercise 5D

 

Thursday Lesson:

Intro to Chi Squared

Lesson Notes

Week 27 Jan - 02 Feb

Monday Lesson:

Vectors Exercise 9F

Lesson Notes

Exercise 9F Solutions

 

Wednesday Lesson 1:

Vectors Mixed Exercise

Vectors Mixed Exercise Solutions

 

Wednesday Lesson 2:

Volumes of Revolution

Lesson Notes

AS Further Maths Sample Papers

These papers are to work through at your leisure. We have another 4 sets you can do later this year.

Week 20 - 26 January

Update required

Week 13 - 19 January

Monday Lesson:

Vectors - Intersection of Line and Plane

Lesson Notes

 

Wednesday Lessons:

Vector Exam MEI Questions

Please work through these 6 vectors questions. Solutions and Mark Schemes are provided.

Vector Questions

Vector Solutions

Vector Mark Schemes

Week 06 - 12 January

Monday Lesson:

Work Energy Power Exercise 2D

Lesson Notes

 

Wednesday Lesson 1:

Vectors 1 - Equation of Line

Lesson Notes and Homework

 

Wednesday Lesson 2:

Work Energy Mixed Exercise 2

Lesson Notes

Mixed Exercise 2 Solutions

 

Thursday Lesson:

Vectors 2 - Angles and Scalar Products

Lesson Notes and Homework

Week 16 - 22 December

Monday Lesson:

Intro to Work, Energy and Power

Lesson Notes

 

Wednesday Lessons 1 & 2

Work Energy Power MEI Exam Questions

Lesson Notes

Homework - Finish the ten questions handed out.

Mark Schemes for MEI Questions

Week 09 - 15 December

Monday Lesson:

Momentum - Repeated Collisions - Exercise 4D

Lesson Notes and Homework

Solutions to Exercise 4D

 

Wednesday Lesson:

Collisions - Exam Questions

Lesson Notes and Homework

Mark Schemes, Solutions and More Questions

 

Thursday Lesson:

Intro to Friction - Work - Energy - Power

Lesson Notes

Week 02 - 08 December

Monday Lesson:

Momentum - Kinetic Energy

Lesson Notes and Homework

 

Wednesday Lesson 1:

Matrices - 3D Transformations

Lesson Notes

 

Wednesday Lesson 2:

Matrices - Inverse Transformations

Lesson Notes

Week 25 Nov - 01 Dec

Monday Lesson:

Matrices - Invariant Lines

Lesson Notes and Homework

 

Wednesday Lesson 1:

Momentum - Impulse - Vectors

Lesson Notes and Homework

 

Wednesday Lesson 2:

Matrices - Simultaneous Equations Interpretation

Lesson Notes

 

Thursday Lesson:

PCLM Exercise 4A

Lesson Notes

Week 18 - 24 November

Monday Lesson:

Intro to Impulse - Momentum

Lesson Notes

 

Wednesday Lesson 1:

Impulse - Momentum Exercise 1A

Lesson Notes and Homework

 

Wednesday Lesson 2:

Matrices - Enlargements - Invariant Points

Lesson Notes

Week 11 - 17 November

Monday Lesson:

Induction - Proving Divisibility

Lesson Notes and Classwork

 

Wednesday Lesson 1

Induction - Matrices

Lesson Notes and Homework Mixed Exercise 8

Solutions to Mixed Exercise 8

 

Wednesday Lesson 2

Intro to Mechanics - Connected Particles

Lesson Notes

Homework

MEI Jan 11 Mech 1 Q5 - Mark scheme at end of paper

MEI Jan 09 Mech 1 Q5 - Mark scheme at end of paper

 

Thursday Lesson:

Matrices - Linear Transformations 2

Lesson Notes and Homework

Week 04 - 10 November

Monday Lesson:

Inverse of 3x3 Matrix

Lesson Notes and Homework

 

Wednesday Lesson 1:

Proof by Induction

Lesson Notes and Homework

 

Wednesday Lesson 2:

Matrices - Systems of Equations

Lesson Notes and Homework

Week 21 - 27 October

Monday Lesson:

Intro to Matrices

Lesson Notes

 

Wednesday Lesson 1:

Determinants & Inverse Matrices

Lesson Notes

 

Wednesday Lesson 2:

Transformations

Lesson Notes

Week 14 - 20 October

Monday Lesson:

Poisson Mixed Exercise 2

Lesson Notes

Mixed Exercise 2 Solutions

 

Wednesday Lesson 1:

Poisson Hypothesis Testing

Lesson Notes

 

Wednesday Lesson 2:

Regions of Argand Diagram

Lesson Notes

Homework - Complete Complex Numbers Assessments for next Tuesday

Week 07 - 13 October

Monday Lesson:

Sums of Independent Poissons

Lesson Notes

 

Wednesday Lesson 1:

Poisson E(X) and Var(X)

Lesson notes

 

Wednesday Lesson 2:

Loci in Argand Diagram

Lesson Notes

 

Thursday Lesson:

Loci 2

Lesson Notes

Week 30 Sep - 06 Oct

Monday Lesson:

Expectation & Variance of Functions

Lesson Notes and Homework

Exercise 1C Solutions      Exercise 1D Solutions      Mixed Exercise 1

 

Wednesday Lesson 1:

Intro to Poisson Distribution

Lesson Notes

 

Wednesday Lesson 2:

Mod Arg Multiplication and Division

Lesson Notes

Week 23 - 29 September

Monday Lesson:

Argand Diagrams - Modulus Argument

Lesson Notes

 

Wednesday Lesson 1:

Modulus - Argument

Lesson Notes

 

Wednesday Lesson 2

Intro to Discrete Random Variables

Lesson Notes and Homework

Week 16 - 22 September

Monday Lesson:

Intro to Complex Numbers

Lesson Notes and Homework

Exercise 1A Solutions    Exercise 1B Solutions     Exercise 1C Solutions

 

Wednesday Lesson 1:

Complex Numbers - Quadratic Equations

Lesson Notes

 

Wednesday Lesson 2:

Complex Numbers - Cubics and Quartics

Lesson Notes and Homework

Exercise 1F Solutions

Week 09 - 15 September

Monday Lesson and Wednesday Lesson 1:

Roots of Equations

Lesson Notes

 

Wednesday Lesson 2:

Standard Summations

Lesson Notes and Homework

Exercise 3A Solutions        Exercise 3B Solutions

 

Thursday Lesson:

Standard Summations 2

Lesson Notes

Mixed Exercise 3 Solutions

Week 02 Sep - 08 Sep

Wednesday Lesson 1:

Intro to Roots of Polynomials

Lesson Notes

 

Wednesday Lesson 2:

Roots of Quadratics

Lesson Notes

 

 

L64FM Homework

Algebraic Multiplication and Division

Here is a 13 minute video lesson on algebraic multiplication and division together with lesson notes, exercise and solutions.

Roots and Series Assessment

Please complete and hand in Monday 16 September the following MEI Exam Questions

Roots of Quadratics

Please complete Exercise 4A Questions 2, 4, 8, 10 for next Tuesday 10 September.

Self mark from these full solutions.