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A Level Maths

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Overview

  • Understand and present mathematical arguments.
  • Recognise underlying mathematical structures.
  • Further you problem-solving skills.
  • Complete this A Level in as little as 6 months.
  • Allows you to progress to university level study.
  • Study around your existing commitments.

Studying your A Level

Maths at A Level introduces students to advanced principles of mathematics, significantly building on what was learned at GCSE level.

During the course you will develop a superior understanding of key methodologies. This will allow you to construct and present mathematical arguments through appropriate use of diagrams, graphs, logical deduction and precise statements.

You will learn how to recognise the underlying mathematical structures and simplify or abstract appropriately to enable problems to be solved. This will allow you to construct extended arguments to solve problems presented in an unstructured form, including problems in context.

You will also study algebra, geometry, sequences and series, exponentials and logarithms and more in far greater depth. This will expand your previous understandings and allow you to put forward complex mathematic arguments in highly structured and cogent ways.

When you have completed this A Level you will have a strong grasp of key mathematical principles. This will give you the core skills you need to move on to study at degree level.

Getting Started

learndirect is a leading provider of distance learning courses in the UK. We are a fully accredited online college, so all our courses are entirely online.

That means you don’t need to attend classes. You can just get on with your learning, structuring it around your personal circumstances. The only timetables are the ones you set for yourself.

That means you can complete the course as quickly as you like. The only specific deadline to work towards is your exam – exam sittings are held once per year in May or June.

To get started, all you need to do is login to our dedicated student portal. Everything you need to complete the course will be there waiting for you.

You still be supported throughout your studies by a dedicated and qualified tutor. They will provide advice, guidance and feedback on your assignments. This allows you to progress in a structured, positive way.

Ultimately, this allows you to study and complete your A Level in maths in a manner that reflects your lifestyle, commitments and your approach to learning.

Pursuing your career

An A Level in maths can allow you to go on to study maths at university. However, your desired university will have entry requirements so be sure to check the grade required in this and associated subjects.

Modules

During your studies you will cover the following modules:

  • Algebra 1
  • Calculus 1
  • Algebra 2
  • Geometry 1
  • Calculus 2
  • Geometry 2
  • Calculus 3
  • Understanding data
  • Probability and distributions 1
  • Probability and distributions 2
  • Mechanics 1
  • Mechanics 2

Which include the following topics:

Algebraic manipulation

Using a variety of algebraic methods, you’ll work with mathematical expressions, equations and functions in order to solve a wide variety of problems.

Graphs and inequalities

Studying algebraic equations and expressions by considering related graphs will allow you to build a deeper insight into their behaviours.

Straight lines and circles

Straight lines and circles are two of the most common ways that maths is used to model real-life situations. Being able to work with these algebraically will allow you to solve both abstract and real-world problems.

Binomial expansions

When a power is applied to a bracket, the resulting expression can be difficult to simplify using straightforward algebraic manipulation. The laws of binomial expansions provide a powerful tool to enable you to do this.

Proof

A proof shows that a mathematical statement is true – starting from elements that are fundamental truths, and taking a series of logical steps, complicated relationships can be shown.

Differentiation

Differentiation is the process of finding the derivative, or rate of change of a function. It is a powerful tool which enables you to solve problems about the shape of graphs, as well as about the rate at which real-world values change.

Integration

Integration is a tool which enables you to find the area underneath a graph. Expanding upon it, you can learn to calculate areas and volumes in complicated real situations.

Exponentials and logarithms

The exponential function and the natural logarithm are important functions which are inverses of each other. Modelling exponential growth or logarithmic decline has applications to interest rates, viral infections and population growth, amongst other important areas.

Sequences and series

A sequence is a list of numbers which obeys a specific rule, and a series is what we get when we add together the terms of a sequence. The tools you’ll develop in this area have wide applications, including applications to the nature of infinity.

Trigonometry

Trigonometry is the study of the relationships between sides and angles in triangles. Since triangles can be added often to theoretical problems such as sketches of graphs, as well as to real-world situations, trigonometry is a powerful tool with a wide range of applications.

Numerical methods

While algebraic tools can be used to solve a wide range of equations, there are times when an approximation is all that is needed, or where the time required to solve a problem algebraically is inefficient. Numerical methods give us tools to approximate in these situations.

Statistical sampling

Statistical sampling is the process where a predetermined number of observations are taken from a larger population, allowing us to state general facts about the population with some degree of certainty.

Interpreting and presenting data

The interpretation and presentation of data in an accurate and easy-to-understand way is an important tool for science and most other academic areas, as well as aiding the daily interpretation of facts and figures presented in the news, for example.

Probability and statistical distributions

Probability measures how likely something is to happen. Statistical distributions provide formulas to allow us to calculate probabilities efficiently in a range of situations.

Statistical hypothesis testing

Testing the significance of a proposed relationship between two parameters and deciding whether this is significant is a key part of most scientific investigation.

Kinematics

Kinematics is the study of the movements of points, lines and other geometric objects to describe movement.

Forces and Newton’s laws

The relations between the forces acting on a body and the motion of the body are key concepts in both theoretical and applied physics.

Requirements

Great news! To start this course there are no pre-entry requirements. To start straightaway all you need is a computer, tablet or mobile device and an internet connection.

Assessment

At the end of each unit you will find an end of unit assignment. This is completed online and submitted to your tutor. Once assessed your tutor will return your work complete with its final grade and feedback. Once you’ve successfully passed each unit you’ll be ready to take your exam!

Qualifications

At the end of this course, if you decide to take an exam, after passing you’ll have gained an A-Level in Maths, which can enable you to go on to further and higher education programmes and can also help give you access to some universities.

Hear from our past Students

  • Understand and present mathematical arguments.
  • Recognise underlying mathematical structures.
  • Further you problem-solving skills.
  • Complete this A Level in as little as 6 months.
  • Allows you to progress to university level study.
  • Study around your existing commitments.

Studying your A Level

Maths at A Level introduces students to advanced principles of mathematics, significantly building on what was learned at GCSE level.

During the course you will develop a superior understanding of key methodologies. This will allow you to construct and present mathematical arguments through appropriate use of diagrams, graphs, logical deduction and precise statements.

You will learn how to recognise the underlying mathematical structures and simplify or abstract appropriately to enable problems to be solved. This will allow you to construct extended arguments to solve problems presented in an unstructured form, including problems in context.

You will also study algebra, geometry, sequences and series, exponentials and logarithms and more in far greater depth. This will expand your previous understandings and allow you to put forward complex mathematic arguments in highly structured and cogent ways.

When you have completed this A Level you will have a strong grasp of key mathematical principles. This will give you the core skills you need to move on to study at degree level.

Getting Started

learndirect is a leading provider of distance learning courses in the UK. We are a fully accredited online college, so all our courses are entirely online.

That means you don’t need to attend classes. You can just get on with your learning, structuring it around your personal circumstances. The only timetables are the ones you set for yourself.

That means you can complete the course as quickly as you like. The only specific deadline to work towards is your exam – exam sittings are held once per year in May or June.

To get started, all you need to do is login to our dedicated student portal. Everything you need to complete the course will be there waiting for you.

You still be supported throughout your studies by a dedicated and qualified tutor. They will provide advice, guidance and feedback on your assignments. This allows you to progress in a structured, positive way.

Ultimately, this allows you to study and complete your A Level in maths in a manner that reflects your lifestyle, commitments and your approach to learning.

Pursuing your career

An A Level in maths can allow you to go on to study maths at university. However, your desired university will have entry requirements so be sure to check the grade required in this and associated subjects.

Modules

During your studies you will cover the following modules:

  • Algebra 1
  • Calculus 1
  • Algebra 2
  • Geometry 1
  • Calculus 2
  • Geometry 2
  • Calculus 3
  • Understanding data
  • Probability and distributions 1
  • Probability and distributions 2
  • Mechanics 1
  • Mechanics 2

Which include the following topics:

Algebraic manipulation

Using a variety of algebraic methods, you’ll work with mathematical expressions, equations and functions in order to solve a wide variety of problems.

Graphs and inequalities

Studying algebraic equations and expressions by considering related graphs will allow you to build a deeper insight into their behaviours.

Straight lines and circles

Straight lines and circles are two of the most common ways that maths is used to model real-life situations. Being able to work with these algebraically will allow you to solve both abstract and real-world problems.

Binomial expansions

When a power is applied to a bracket, the resulting expression can be difficult to simplify using straightforward algebraic manipulation. The laws of binomial expansions provide a powerful tool to enable you to do this.

Proof

A proof shows that a mathematical statement is true – starting from elements that are fundamental truths, and taking a series of logical steps, complicated relationships can be shown.

Differentiation

Differentiation is the process of finding the derivative, or rate of change of a function. It is a powerful tool which enables you to solve problems about the shape of graphs, as well as about the rate at which real-world values change.

Integration

Integration is a tool which enables you to find the area underneath a graph. Expanding upon it, you can learn to calculate areas and volumes in complicated real situations.

Exponentials and logarithms

The exponential function and the natural logarithm are important functions which are inverses of each other. Modelling exponential growth or logarithmic decline has applications to interest rates, viral infections and population growth, amongst other important areas.

Sequences and series

A sequence is a list of numbers which obeys a specific rule, and a series is what we get when we add together the terms of a sequence. The tools you’ll develop in this area have wide applications, including applications to the nature of infinity.

Trigonometry

Trigonometry is the study of the relationships between sides and angles in triangles. Since triangles can be added often to theoretical problems such as sketches of graphs, as well as to real-world situations, trigonometry is a powerful tool with a wide range of applications.

Numerical methods

While algebraic tools can be used to solve a wide range of equations, there are times when an approximation is all that is needed, or where the time required to solve a problem algebraically is inefficient. Numerical methods give us tools to approximate in these situations.

Statistical sampling

Statistical sampling is the process where a predetermined number of observations are taken from a larger population, allowing us to state general facts about the population with some degree of certainty.

Interpreting and presenting data

The interpretation and presentation of data in an accurate and easy-to-understand way is an important tool for science and most other academic areas, as well as aiding the daily interpretation of facts and figures presented in the news, for example.

Probability and statistical distributions

Probability measures how likely something is to happen. Statistical distributions provide formulas to allow us to calculate probabilities efficiently in a range of situations.

Statistical hypothesis testing

Testing the significance of a proposed relationship between two parameters and deciding whether this is significant is a key part of most scientific investigation.

Kinematics

Kinematics is the study of the movements of points, lines and other geometric objects to describe movement.

Forces and Newton’s laws

The relations between the forces acting on a body and the motion of the body are key concepts in both theoretical and applied physics.

Requirements

Great news! To start this course there are no pre-entry requirements. To start straightaway all you need is a computer, tablet or mobile device and an internet connection.

Assessment

At the end of each unit you will find an end of unit assignment. This is completed online and submitted to your tutor. Once assessed your tutor will return your work complete with its final grade and feedback. Once you’ve successfully passed each unit you’ll be ready to take your exam!

Qualifications

At the end of this course, if you decide to take an exam, after passing you’ll have gained an A-Level in Maths, which can enable you to go on to further and higher education programmes and can also help give you access to some universities.

Hear from our past Students

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