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M34 - Maths Lessons, Homework and Revision Site

U63FM Lessons & Blog

Week 01 - 07 April

Monday Lesson:

Oblique Impact

Lesson Notes

 

Tuesday Lesson:

Mixed Exercise 5

Lesson Notes

Week 25 - 31 March

Monday Lesson:

Geometric - Goodness of Fit

Lesson Notes

 

Tuesday Lesson:

Mixed Exercise Chi Squared

Week 18 - 24 March

Monday Lesson:

Quality of Tests - Normal

Lesson Notes

 

Tuesday Lesson:

Size & Power of Tests

Lesson Notes

 

Wednesday Lesson:

Power Functions

Lesson Notes

 

Thursday Lesson:

Mixed Exercise 8

Week 11 - 17 March

Monday Lesson:

PGFs - Sums of Independent Random Variables

Lesson Notes

 

Tuesday Lesson:

PGFs - Mixed Exercise

 

Wednesday Lesson:

Quality of Tests

Lesson Notes

Week 04 - 10 March

Monday Lesson:

Central Limit Theorem

Lesson Notes

 

Tuesday Lesson:

Mixed Exercise

Lesson Notes

 

Wednesday Lesson:

Probability Generating Functions

Lesson Notes

Week 25 Feb - 03 Mar

Monday Lesson:

Mixed Exercise 3

 

Tuesday Lesson:

Testing For Mean - Critical Values - Poisson and Geometric

Lesson Notes

 

Wednesday Lesson:

JB Interview Day

Selected questions from Exercises 4A,B,C,D

Week 11 - 17 February

Monday Lesson:

Cancelled - CATS Rehearsal

 

Tuesday Lesson:

Core Pure 2 Review

Lesson Notes

 

Wednesday Lesson:

Geometric Distribution

Lesson Notes

 

Thursday Lesson:

Negative Binomial Distribution

Lesson Notes

Week 04 - 10 February

Monday Lesson:

MP Core Pure 2 Specimen Paper

JB Interview

 

Tuesday Lesson:

Oblique Impact

Lesson Notes

 

Wednesday Lesson:

Finish Core 2 Pure Mock

 

Week 28 Jan - 03 Feb

Monday Lesson:

Review of Mock

Solutions

 

Tuesday Lesson:

Review of Integration by Parts

Lesson Notes

 

Wednesday Lesson:

JB Core Pure 2 Specimen Paper

MP University Visit

Week 21 - 27 January

Mock Exam Week

Monday Lesson:

Personal Revision

 

Tuesday Lesson:

Personal Revision

 

Wednesday Lesson:

Personal Revision

Week 14 - 20 January

Monday Lesson:

Revision of Matrices

See Mock Preparation opposite

 

Tuesday Lesson:

Revision of Standard Integrals

 

 

Wednesday Lesson:

Revision of Induction

Lesson Notes

 

Thursday Lesson:

Revision of Vectors

Lesson Notes

Week 07 - 13 January

Monday Lesson:

Revision of Hyperbolic Functions

See Mock Preparation opposite

 

Tuesday Lesson:

Revision of Complex Numbers

See Mock Preparation opposite

 

Wednesday Lesson:

Revision of Polar Coordinates

See Mock Preparation opposite

Further Maths Mock Exam

QuestionTopicMarks
   
1Hyperbolic Functions - Solve Equation6
2Matrices - Form and Solve Equation8
3Polar Coordinates - Find Area and Cost of Painting it10
4Standard Integrals8
5Vectors - Shelter Against a Wall Framework9
6Complex Numbers - Sums of Roots - Argand Diagram9
7Induction - 2 Questions - 1 Matrices and 1 Algebra11
81st Order Differential Equation and Modelling14
Total: 75

 

Week 17 - 23 December

Monday & Tuesday Lessons:

Coupled Differential Equations

 

Wednesday Lesson:

Hyperbolic Functions Questions

Hyperbolic Functions Solutions

 

Thursday Lesson:

Polar Coordinates Questions

 

Week 10 -16 December

Monday Lesson:

Simple Harmonic Motion

Lesson Notes

Week 03 - 09 December

Monday & Tuesday Lessons:

Diff Eqns Mixed Exercise 7

Lesson Notes

 

Wednesday & Thursday Lessons:

Differential Equations - Modelling

Lesson Notes

 

Week 26 Nov - 02 Dec

Monday Lesson:

2nd Order Linear Non-Homogeneous Differential Equations

Tuesday Lesson:

AQA FP3 Exam Questions on 2nd Order Differential Equations

Lesson Notes - Solutions

Wednesday Lesson:

2nd Order Linear Non-Homogeneous Differential Equations

Week 19 - 25 November

Differential Equations

Monday, Tuesday & Wednesday Lessons:

Integrating Factors

Lesson Notes

 

Thursday Lesson:

Second Order Homogeneous Differential Equations

Lesson Notes

Week 12 -18 November

Monday Lesson:

Tangents to Polar Curves

Lesson Notes

 

Tuesday & Wednesday Lessons:

Mixed Exercise 5

Lesson Notes

Week 5 - 11 November

Monday Lesson:

Polar Coords 2

Lesson Notes

 

Tuesday Lesson:

Sketching Polar Curves

Lesson Notes

 

Wednesday Lesson:

Polar Curve Areas

Lesson Notes

 

Thursday Lesson:

More on Polar Curve Areas

Lesson Notes

 

Week 29 Oct - 4 Nov

Monday Lesson:

In Mr Smith's absence work on the Review Exercise Q1, Q6, Q11, Q16,.....Q46, Q51

Here are the solutions

 

Tuesday Lesson:

In Mr Smith's absence work on the Review Exercise Q2, Q7, Q12, Q17,.....Q47, Q52

Here are the solutions

 

Polar Coordinates

Wednesday Lesson:

Lesson Notes

Week 15 - 21 October

Partial Fractions

Monday Lesson:

Lesson Notes

 

Tuesday Lesson:

Lesson Notes

 

Volumes of Revolution

Wednesday Lesson:

Lesson Notes

 

Thursday Lesson:

Lesson Notes

Week 08 - 14 October

Methods in Calculus

Monday Lesson:

Lesson Notes

 

Tuesday Lesson:

Lesson Notes

 

Wednesday Lesson:

Lesson Notes:

Week 01 - 07 October

Complex - Series

Monday Lesson:

MEI Exam Questions

Lesson Notes

 

Tuesday Lesson:

Exercise 1E Solutions

Lesson Notes

 

Wednesday Lesson:

More MEI Exam Questions

Lesson Notes

 

Intro to Improper Integrals

Thursday Lesson:

Lesson Notes

Week 24 - 30 September

Complex - De Moivre

Monday Lesson

Exercise 1C

Lesson Notes

 

Tuesday Lesson

Exercise 1D

Lesson Notes

 

Roots of Unity

Wednesday Lesson

Exercise 1F

Lesson Notes

Week 17 - 23 September

Series - Mixed Exercise

Monday Lesson:

Consolidation of work on series.

Mixed Exercise 2

 

Tuesday Lesson:

Finish Mixed Exercise 2

Mixed Exercise 2 continued

 

Complex Numbers

Thursday Lesson:

Recap of Complex Numbers

Lesson Notes

Maclaurin Series - Compound Functions

Lesson Objective:

To be able to use compound functions in standard Maclaurin series.

Exercise 2D

Maclaurin Series

Lesson Objectives:

To be able to:

  • State the Maclaurin Series expansion for the general function f(x).
  • Derive and use the Maclaurin Series expansion for selected specific functions.

 

Series - Higher Derivatives

Lesson:

Continue with Method of Differences Exercise 2A

Preview Higher Derivatives required for Maclaurin Series

Series - Method of Differences

Lesson Objective:

To be able to use the method of differences to derive formulae for finite summations. 

 

Resources:

MEI FP1 Papers

Core Pure Maths Book 2 Pages 32-37

A-Level Exam Dates Summer 2019

The dates for the 2019 A-Level Maths and A-Level Further Maths Exams are as follows:

PaperCodeDateSession
Core Pure Mathematics 19FM0 01Mon 03 Jun 19AM
Pure Mathematics 19MA0 01Wed 05 Jun 19AM
Core Pure Mathematics 29FM0 02Thu 06 Jun 19PM
Pure Mathematics 29MA0 02Wed 12 Jun 19AM
Statistics & Mechanics9MA0 03Fri   14 Jun 19PM
Further Statistics 19FM0 3BTue 18 Jun 19PM
Further Mechanics 19FM0 4CThu 20 Jun 19PM

Each Maths exam lasts 2 hours and is marked out of 100.

Each Further Maths exam lasts 1 hour 30 minutes and is marked out of 75.

The above dates are now final and will not be changed.

U63FM Homework

Mock Preparation - Matrices

Edexcel Topic Test - Q9 is the only example of forming and solving a system of equations

Matrices Topic Test Questions

Matrices Topic Test Solutions

Matrices Topic Test Mark Scheme

See Core Pure Maths Book 1 Matrices Mixed Exercise 6 pages 121-123

Mock Preparation - Induction

Mock Preparation - Polar Coordinates

Mock Preparation - Standard Calculus

Mock Preparation - Complex Numbers

Mock Preparation - Vectors

Mock Preparation - Hyperbolic Functions

Edexcel FP2 2008 Diff Eqns

Alternate questions on the Edexcel FP2 papers seem to be on Differential Equations.

Question 9 is not about solving one but about substituting in one to derive a power series of the form:

y - a0 + a1x + a2x2 + a3x3 +.............

Questions       Solutions       Mark Scheme

Complex Series

Finish MEI questions and Exercise 1E.

Complex - De Moivre

Finish all Q1 of Exercise 1D

Maclaurin Series

Spend 30 minutes on CPM Book2 Page 43 Exercise 2C.

Series - Higher Derivatives

CPM Book 2 Page 39 Exercise 2B