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# #header_text h1#site_heading a, #header_text h1#site_heading{ font-style:normal;font-weight:400;font-family:Imprima;color:#ffffff;line-height:0.93 } @media (min-width: 650px) { #header_text h1#site_heading a, #header_text h1#site_heading{ letter-spacing:0;font-size:40px } } M34 - Maths Lessons, Homework and Revision Site

## U63FM Lessons & Blog

### Week 29 Apr - 05 May

Monday - Thursday Lessons:

Hooke's Law and Energy in Strings & Springs

### Week 28 Apr - 05 May

Monday Lesson:

Review Mechanics Exam Paper (SAM)

Solutions

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

 Question Topic Marks 1 Hyperbolic Functions - Solve Equation 6 2 Matrices - Form and Solve Equation 8 3 Polar Coordinates - Find Area and Cost of Painting it 10 4 Standard Integrals 8 5 Vectors - Shelter Against a Wall Framework 9 6 Complex Numbers - Sums of Roots - Argand Diagram 9 7 Induction - 2 Questions - 1 Matrices and 1 Algebra 11 8 1st Order Differential Equation and Modelling 14 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:

 Paper Code Date Session Core Pure Mathematics 1 9FM0 01 Mon 03 Jun 19 AM Pure Mathematics 1 9MA0 01 Wed 05 Jun 19 AM Core Pure Mathematics 2 9FM0 02 Thu 06 Jun 19 PM Pure Mathematics 2 9MA0 02 Wed 12 Jun 19 AM Statistics & Mechanics 9MA0 03 Fri   14 Jun 19 PM Further Statistics 1 9FM0 3B Tue 18 Jun 19 PM Further Mechanics 1 9FM0 4C Thu 20 Jun 19 PM

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

Induction 2009-12 Solutions

Induction 2009-12 Mark Schemes

### 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 +.............

### 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