**Monday - Thursday Lessons:**

Hooke's Law and Energy in Strings & Springs

**Monday Lesson:**

Quality of Tests - Normal

**Tuesday Lesson:**

Size & Power of Tests

**Wednesday Lesson:**

Power Functions

**Thursday Lesson:**

Mixed Exercise 8

**Monday Lesson:**

PGFs - Sums of Independent Random Variables

**Tuesday Lesson:**

PGFs - Mixed Exercise

**Wednesday Lesson:**

Quality of Tests

**Monday Lesson:**

Central Limit Theorem

**Tuesday Lesson:**

Mixed Exercise

**Wednesday Lesson:**

Probability Generating Functions

**Monday Lesson:**

Mixed Exercise 3

**Tuesday Lesson:**

Testing For Mean - Critical Values - Poisson and Geometric

**Wednesday Lesson:**

JB Interview Day

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

**Monday Lesson:**

Cancelled - CATS Rehearsal

**Tuesday Lesson:**

Core Pure 2 Review

**Wednesday Lesson:**

Geometric Distribution

**Thursday Lesson:**

Negative Binomial Distribution

**Monday Lesson:**

MP Core Pure 2 Specimen Paper

JB Interview

**Tuesday Lesson:**

Oblique Impact

**Wednesday Lesson:**

Finish Core 2 Pure Mock

**Monday Lesson:**

Review of Mock

**Tuesday Lesson:**

Review of Integration by Parts

**Wednesday Lesson:**

JB Core Pure 2 Specimen Paper

MP University Visit

Mock Exam Week

**Monday Lesson:**

Personal Revision

**Tuesday Lesson:**

Personal Revision

**Wednesday Lesson:**

Personal Revision

**Monday Lesson:**

Revision of Matrices

See Mock Preparation opposite

**Tuesday Lesson:**

Revision of Standard Integrals

**Wednesday Lesson:**

Revision of Induction

**Thursday Lesson:**

Revision of Vectors

**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

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 |

**Monday & Tuesday Lessons:**

Coupled Differential Equations

**Wednesday Lesson:**

Hyperbolic Functions Questions

Hyperbolic Functions Solutions

**Thursday Lesson:**

**Monday & Tuesday Lessons:**

Diff Eqns Mixed Exercise 7

**Wednesday & Thursday Lessons:**

Differential Equations - Modelling

**Monday Lesson:**

2nd Order Linear Non-Homogeneous Differential Equations

**Tuesday Lesson:**

AQA FP3 Exam Questions on 2nd Order Differential Equations

**Wednesday Lesson:**

2nd Order Linear Non-Homogeneous Differential Equations

Differential Equations

**Monday, Tuesday & Wednesday Lessons:**

Integrating Factors

**Thursday Lesson:**

Second Order Homogeneous Differential Equations

**Monday Lesson:**

Tangents to Polar Curves

**Tuesday & Wednesday Lessons:**

Mixed Exercise 5

**Monday Lesson:**

Polar Coords 2

**Tuesday Lesson:**

Sketching Polar Curves

**Wednesday Lesson:**

Polar Curve Areas

**Thursday Lesson:**

More on Polar Curve Areas

**Monday Lesson:**

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

**Tuesday Lesson:**

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

Polar Coordinates

**Wednesday Lesson:**

Partial Fractions

**Monday Lesson:**

**Tuesday Lesson:**

Volumes of Revolution

**Wednesday Lesson:**

**Thursday Lesson:**

Complex - Series

**Monday Lesson:**

MEI Exam Questions

**Tuesday Lesson:**

**Wednesday Lesson:**

More MEI Exam Questions

Intro to Improper Integrals

**Thursday Lesson:**

Complex - De Moivre

**Monday Lesson**

Exercise 1C

**Tuesday Lesson**

Exercise 1D

Roots of Unity

**Wednesday Lesson**

Exercise 1F

Series - Mixed Exercise

**Monday Lesson:**

Consolidation of work on series.

**Tuesday Lesson:**

Finish Mixed Exercise 2

Complex Numbers

**Thursday Lesson:**

Recap of Complex Numbers

**Lesson Objective:**

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

Exercise 2D

**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.

Lesson:

Continue with Method of Differences Exercise 2A

Preview Higher Derivatives required for Maclaurin Series

Lesson Objective:

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

Resources:

Core Pure Maths Book 2 Pages 32-37

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.

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

Matrices Topic Test Solutions

Matrices Topic Test Mark Scheme

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

Standard Calculus 2009-13 Questions

Standard Calculus 2009-13 Solutions

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 - a_{0} + a_{1}x + a_{2}x^{2} + a_{3}x^{3} +.............