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U63FM Lessons & Blog

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

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