## DEPARTMENT

Mathematics.

## A level Board/code

Edexcel: 9371 (Mathematics).

Edexcel: 9372 (Further Mathematics).

Edexcel: 9373 (Pure Mathematics).

## What do we cover in the course?

**Key syllabus elements**

Pure Maths: Algebra, Coordinate Geometry, Series, Calculus, Trigonometry, Matrices, Vectors.

Mechanics: Statics, Kinematics.

Statistics: Analysis of Data, Distributions, Hypotheses.

## How is it assessed?

**Key assessment elements**

Each A level consists of 6 unit examinations, (3 per year).

Each unit examination is 90 minutes.

## Key skills required

Analytical & problem solving skills.

## What entry requirements are there to study this course?

GCSE grade A for Mathematics.

GCSE grade A* for Further Mathematics

## What is the course useful for?

Both A levels are an excellent foundation for university courses in: Science, Engineering, Economics and Business, as well as Mathematics, Actuarial Science and Statistics.

## Any other information

Results 2016:

Mathematics: 100% Pass Rate, 63% A*/A grades.

Further Mathematics: 93% Pass Rate, 44% A*/A grades.

## DEPARTMENT

Mathematics.

## A level Board/code

AQA: 6381 (Statistics).

## What do we cover in the course?

**Key syllabus elements**

Numerical Measures, Probability, Distributions, Correlation and Regression, Confidence Intervals, Hypothesis Tests, Analysis of Variance.

## How is it assessed?

**Key assessment elements**** **

90 minute written examinations for each of six modules.

## Key skills required

Manipulation of numerical and algebraic data and application of formulae and statistical tables.**What entry requirements are there to study this course?**Grade A (GCSE).

**What is the course useful for?**** **

Many degree courses and employment requiring a facility in the application of statistics.

## Any other information

Results 2014:

82% Pass Rate, 55% Grade A*/C, 36% Grade A*/A.

### AS and A LEVEL MATHEMATICS and STATISTICS COURSES

**Summary of Courses**

** **One year AS level courses in Pure Maths, Further Maths or Statistics

- Two year or 18 month A level courses in Maths, Pure Maths, Further Maths or Statistics
- CTC offers courses in 15 Edexcel Units and 6 AQA units.
- Students complete 3 units for an AS level award and 6 units for an A level award.
- Maths and Further Maths is a more advanced course leading to two A levels.

### EDEXCEL Exam Board

** Year 1 Year 2**

** **AS level Pure Maths (3 units) C1 C2 C3 ———

A Level Maths (6 units) C1 C2 C3 **Three options**

C4 M1 M2

C4 M1 S1

C4 S1 S2

A level Pure Maths (6 units) C1 C2 C3 C4 FP1 FP2

AS level Further Maths (3 units) M1 M2 FP1 ———-

A level Maths & Further Maths (12 units) C1 C2 C3 M1 M2 FP1

**Three options**

C4 FP2 FP3 M3 M4 M5

C4 FP2 FP3 S1 S2 S3

C4 FP2 FP3 M3 S1 S2

### AQA Exam Board

** Year 1 Year 2**

** **AS level Statistics (3 units) S1 S2 S3 ——–

A level Statistics (6 units) S1 S2 S3 S4 S5 S6

All the above A level courses are also available as 18-month courses.

**INITIAL REQUIREMENTS****:** GCSE (Higher Level)

AS or A level Mathematics and Statistics: Grade A

AS or A level Further Mathematics: Grade A*

### EDEXCEL Units

C1 Core Pure Mathematics 1 FP1 Further Pure Mathematics 1

C2 Core Pure Mathematics 2 FP2 Further Pure Mathematics 2

C3 Core Pure Mathematics 3 FP3 Further Pure Mathematics 3

C4 Core Pure Mathematics 4

M1 Mechanics 1 S1 Statistics 1

M2 Mechanics 2 S2 Statistics 2

M3 Mechanics 3 S3 Statistics 3

M4 Mechanics 4

M5 Mechanics 5

### Summary of unit content

**Pure Maths**

C1 |
Algebra and Functions: Indices, Surds and Quadratics, Coordinate Geometry of points and lines, Arithmetic Series, Basic Differentiation and Integration. |
---|---|

C2 |
Factor and Remainder Theorems, Coordinate Geometry of circles, Geometric Series and Binomial Expansion, Trigonometric Equations, Logarithms, Calculus and Applications. |

C3 |
Functions and Sets, Composite and Inverse Functions, Trigonometric Functions and Identities, Exponentials and Logarithms, Further Differentiation, Numerical methods. |

C4 |
Partial Fractions, Parametric Equations, Binomial Series. Implicit Differentiation, Further Integration, Vectors. |

FP1 |
Complex Numbers, Numerical Solutions of Equations, Coordinate Geometry of Parabola and Hyperbola, Matrix Algebra, Series of Natural Numbers, Proof by Induction. |

FP2 |
Inequalities, Series; Method of Differences, Further Complex Numbers, First and Second Order Differential Equations, Polar Coordinates, Maclaurin and Taylor series. |

FP3 |
Hyperbolic Functions and Calculus , Coordinate Geometry of Ellipse and Hyperbola, Further Integration: Reduction Formulae, Arc Length, Surface Area, Further Vectors and Matrix Algebra. |

**Mechanics**

M1 |
Mathematical Models and Vectors in Mechanics, Kinematics and Dynamics of a particle moving in a straight line or plane, Statics of a particle, Moments. |
---|---|

M2 |
Projectiles, Centres of Mass and Equilibrium of a plane lamina, Work, Energy and Power, Collisions, Statics of rigid bodies. |

M3 |
Acceleration as a function of time or displacement, Elastic strings and springs, Simple Harmonic Motion, Motion in a circle, Further Centres of Mass and tilting problems. |

M4 |
Relative motion, Elastic Collisions in two dimensions, Further motion of particles in one dimension with resistance, Damped and Forced Harmonic Oscillations, Stability. |

M5 |
Further applications of Vectors in Mechanics, Motion of a particle with varying mass, Moments of Inertia of a rigid body, Rotation of a rigid body about a fixed smooth axis. |

** ****Statistics**

S1 |
Mathematical Models, Data Representation and Summary, Probability, Correlation and Regression, Discrete Random Variables, Uniform and Normal Distributions. |
---|---|

S2 |
The Binomial, Poisson and Rectangular Distributions, Continuous Random Variables, Distributional approximations, Samples and Populations, Hypothesis Tests. |

S3 |
Combinations of Random Variables, Sampling, Estimation and Confidence Intervals, Further Hypothesis Tests, Goodness of Fit, Contingency Tables, Further Correlation. |

**AQA Units**

S1 Statistics 1

S2 Statistics 2

S3 Statistics 3

S4 Statistics 4

S5 Statistics 5

S6 Statistics 6

**Summary of unit content**

** ****Statistics**

S1 |
Probability, Numerical Measures, Binomial and Normal Distributions, Confidence Intervals for Mean, Correlation and Regression. |
---|---|

S2 |
Time Series Analysis, Sampling, Discrete Probability Distributions, Poisson Distribution, Interpretation of Data, Hypothesis Tests for Mean. |

S3 |
Contingency Tables, Distribution Free Methods: Sign, Wilcoxon, Mann-Whitney & Kruskal-Wallis Tests, Hypothesis Tests for Correlation & Rank Correlation. |

S4 |
Combinations of Normal Variables, Distributional Approximations, Further confidence intervals, Further Hypothesis Tests for Means and Proportions. |

S5 |
Continuous Probability Distributions, Confidence Intervals for Variance, One and Two sample hypothesis tests, Goodness of fit. |

S6 |
Experimental Design, Analysis of paired comparisons, Analysis of Variance: one way, two way and Latin square, Statistical Process Control, Acceptance Sampling. |