**Examining Board:** Edexcel

**Next Examination Period:** May / June 2019

**Exam Specification Code: **8MA0

**Coursework Element:** No

**Practical Element:** No

Edexcel AS Levels are available for study anywhere in the world. Examinations can be taken at any registered examination centre in the world. It is recommended students check with examining centres that the chosen exam is available.

### Introduction

The study of Mathematics is highly respected by Universities who look favourably on applicants who can demonstrate knowledge in this subject. The Oxford Learning College course in mathematics will help you to gain knowledge and understanding of Mathematics through the direct study of the original sources. It will encourage and develop your enthusiasm for maths as well as give you the chance to form your own personal responses to the set texts chosen for study. You will further enhance your mathematics and practice skills such as geometry and algebra.

The Edexcel AS Level in Mathematics consists of 2 externally examined papers, all of which must be sat in a single year.

### Course Content

With the new format of Edexcel AS Level, the method of course delivery varies slightly. In the first and second units of study, students will cover Pure Mathematics. Unit 3 will cover two sections (A and B), and cover Statistics and Mechanics.

### Unit 1: Pure Mathematics Part A

**● Topic 1 – Proof**

Understanding the structure of mathematical proof, including proof by deduction, proof by exhaustion and disproof by deduction.

**● Topic 2 – Algebra and functions**

Understanding the laws of indices for all rational exponents, rationalising the denominator, working with quadratic functions, solving simultaneous equations and using graphical information to solve equations.

**● Topic 3 – Coordinate geometry in the (x, y) plane**

Understanding the equation of a straight line, applying the use of coordinate geometry and understanding the use of parametric equations in modelling in a variety of contexts.

**● Topic 4 – Sequences and series**

Understanding the use of Pascal’s triangle, working with sequences (including increasing, decreasing and periodic sequences) and understanding sigma notation for sums of series.

**● Topic 5 – Trigonometry**

Understanding the definitions of sine, cosine and tangent, solving trigonometric equations, using trigonometric functions to solve problems in context.

### Unit 2: Pure Mathematics Part B

**● Topic 6 – Exponentials and logarithms**

Knowing and using functions and graphs that relate to exponentials and logarithms, understanding the laws of logarithms and understanding exponential growth and decay, along with the consideration of limitations and refinements of exponential models.

**● Topic 7 – Differentiation**

Understanding sketching the gradient function for a given curve, second derivatives, the use of second derivative as the rate of change of a gradient, understanding how to apply differentiation to find gradients, tangents and normals.

**● Topic 8 – Integration**

Knowing the Fundamental Theorem of Calculus, understanding and evaluating definite integrals, carrying out simple cases of integration by substitution and integration by parts and interpreting the solution of differential equation in the context of solving a problem.

**● Topic 9 – Vectors**

Using vectors in two dimensions, calculating the magnitude and direction of a vector, adding vectors diagrammatically, understanding and using position vectors, using vectors to solve problems in pure mathematics and context.

### Unit 3: Section A: Statistics

**● Topic 1 – Statistical sampling**

Understanding and using the terms ‘population’ and ‘sample’, understanding and using sampling techniques and applying sampling techniques in the context of solving a statistical problem.

**● Topic 2 – Data presentation and interpretation**

Interpreting diagrams for single-variable data, interpreting scatter diagrams and regression lines for bivariate data, plus recognising and interpreting possible outliers in data sets and statistical diagrams.

**● Topic 3 – Probability**

Understanding mutually exclusive and independent events when calculating probabilities, understanding conditional probability and modelling with probability, including critiquing assumptions made.

**● Topic 4 – Statistical distributions**

Understanding and using simple, discrete probability distributions, calculating probabilities using binomial distribution, understanding the use of Normal distribution as a model and selecting an appropriate probability distribution for a context.

**● Topic 5 – Statistical hypothesis testing**

Understanding and applying the language of statistical hypothesis testing, conducting statistical hypothesis test using binomial distribution and understanding a sample being used to make an inference about the population.

###

### Section B: Mechanics

### Unit 4: Section B: Mechanics

**● Topic 1 – Quantities and units in mechanics**

Understanding and using fundamental quantities and units in the S.I. system, understanding and using derived quantities and units.

**● Topic 2 – Kinematics**

Understanding and using the language of kinematics, interpreting graphs in kinematics for motion in a straight line, understanding how to derive the formulae for constant acceleration for motion in a straight line and using calculus in kinematics for motion in a straight line.

**● Topic 3 – Forces and Newton’s laws**

Understanding the concept of a force, applying and using Newton’s second law for motion in a straight line, understanding using weight and motion in a straight line under gravity and applying Newton’s third law.

### Assessment

**Paper 1 - Pure Mathematics (*Paper code: 8MA0/01)**

**Includes Topic from Units 1 and 2**

2-hour written examination

62.5% of the qualification

100 marks

### Paper 2 - Statistics and Mechanics (*Paper code: 8MA0/02)

Includes topics from Unit 3 (Section A and Section B)

1 hour 15 minutes’ written examination

37.5% of the qualification

60 marks

For further information on the course please click on the tabs below:

**Examinations are held each year in the months of May through to July. **