## L64FM Lessons & Blog

### Week 27 Jul - 02 Aug

Lesson 27 July

Integration by Substitution

Print off the Lesson Notes and complete and self-mark the Exercise

Live On-line Lesson 29 July 7pm

Hyperbolic Functions and Graphs

Lesson Notes

Exam Type Questions

Lesson Notes and Homework

Do what you can from the questions above and send your work to me by Sunday 9 August.

Next Live On-Line Lesson 10am Friday 14 August.

### Week 13 - 19 July

Live On-line Lesson Wednesday 7pm

Hyperbolic Inverse Functions

Lesson Notes and Homework

Please complete and email by Sunday 26 July

### Week 06 - 12 July

Thursday Live Lesson 7pm

Using MacLaurin Series

Lesson Notes

(Sorry forgot to press record so no video)

Homework: Exercise 2D even numbers

Self-mark before next Wednesday from Exercise 2D Solutions

### 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

### Summer AS Exam Dates

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

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.

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

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

Wednesday Lesson 1:

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

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:

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