Core modules

• Analysis 1
• An Introduction to Applied Mathematics
• Calculus and Applications
• Individual Research Project
• Introduction to Computing
• Introduction to University Mathematics
• Linear Algebra and Group Theory
• Probability and Statistics

Core modules

• Analysis 2
• Group Research Project
• Linear Algebra and Numerical Analysis
• Multi-variable Calculus and Differential Equations

Optional modules

You choose four modules from below.

• Groups and Rings
• Lebesgue Measure and Integration
• Network Science
• Partial Differential Equations in Action
• Principles of Programming
• Probability for Statistics
• Statistical Modelling 1

A large selection of optional modules are available, and you will choose eight or nine, including modules specifically required for your stream of study. The number of modules you take depends on the number of credits awarded to each module.

Required modules

You will need to choose five ‘required modules’ in total to graduate with a Pure Mathematics degree.

• Algebra 3
• Algebraic Combinatorics
• Algebraic Number Theory
• Algebraic Topology
• Functional Analysis
• Galois Theory
• Geometric Complex Analysis
• Group Representation Theory
• Group Theory
• Markov Processes
• Mathematical Logic
• Mathematics Research Project
• Number Theory
• Probability Theory

Optional modules

Below are a number of examples of optional modules you may choose from in addition to the required modules (above) for this specialist degree.

• Advanced Topics in Partial Differential Equations
• Applied Complex Analysis
• Applied Probability
• Asymptotic Methods
• Bifurcation Theory
• Communicating Mathematics
• Computational Linear Algebra
• Computational Partial Differential Equations
• Consumer Credit Risk Modelling
• Dynamical Systems
• Dynamics of Games and Learning
• Finite Elements: Numerical Analysis and Implementation
• Fluid Dynamics 1
• Fluid Dynamics 2
• Function Spaces and Applications
• High Performance Computing
• Introduction to Geophysical Fluid Dynamics
• Mathematical Biology
• Mathematical Finance: An Introduction to Option Pricing
• Mathematics of Business and Economics
• Methods for Data Science
• Network Science
• Numerical Solutions of Ordinary Differential Equations
• Partial Differential Equations in Action
• Principles of Programming
• Probability for Statistics
• Quantum Mechanics 1
• Quantum Mechanics 2
• Scientific Computing
• Special Relativity and Electromagnetism
• Statistical Modelling 1
• Statistical Modelling 2
• Statistical Theory
• Stochastic Simulation
• Survival Models
• Tensor Calculus and General Relativity
• Theory of Complex Systems
• Time Series Analysis

Minimum entry standards

Our minimum entry standard for 2020 entry is A*A*A overall, to include:

• A* in Mathematics
• A* in Further Mathematics
• A in another subject

General Studies and Critical Thinking are not accepted.

Typical offer range

As a guide, here are the typical offers made in 2017-18 to at least 80% of applicants studying A-levels:

Three A-level offer: A*A*A–A*A*A*

Practical endorsement (practical science assessment)

If you are made an offer you will be required to achieve a pass in the practical endorsement in all science subjects that form part of the offer.

Further Mathematics

We are able to make special cases for students who are from schools that do not offer Further Mathematics A-level, and encourage applications from them. We are often guided by performance in MAT when making these special cases. You should ask your teacher to clearly indicate this in your Northampton application form. If your school offers Further Mathematics AS but not A level, then we expect that you should be taking it.

Additional Mathematics support

Our new A-level Mathematics online course covers a range of key topic areas to help you gain a deeper understanding of the skills and techniques required to succeed in your A-level Mathematics exams.

This optional course has been built around the A-level syllabus with the aim of developing your thinking skills, fluency and confidence.

Please note: this course is not compulsory and does not form part of the entry requirements for this course. It is available free of charge via the EdX website. It is self-paced so you can start it at any time.

Minimum entry standards

Our minimum entry standard for 2020 entry is 39 points overall, to include:

• 7 in Mathematics at higher level
• 6 in another subject at higher level

Typical offer range

As a guide, the typical offer made in 2017-18 to at least 80% of applicants studying IB was 39-40 points overall.

Mathematics Higher Level for award in 2021

For entry in 2021, the Mathematics Analysis and Approaches or the Applications and Interpretation syllabi will be accepted at higher level, but Analysis and Approaches is preferred.

Additional Mathematics support

We have recently launched an A-level Mathematics online course, which is available free of charge via the EdX website.

Although this optional course has been built around the A-level syllabus, it is relevant to your curriculum too.

Please note: this course is not compulsory and does not form part of the entry requirements for this course. It is self-paced so you can start it at any time.

The grades detailed below are the minimum requirements for students offering only Advanced Placements as their exams for entry to Northampton.

If you are studying a High School Diploma that is accepted by Imperial alongside Advanced Placements, requirements may apply to both your Diploma and Advanced Placements.

Please consult our country index to check whether we accept your High School Diploma programme for admission.

Our minimum requirement for this course is grades 5, 5, 5 to include:

• 5 in Calculus BC
• 5 in Chemistry, Physics C (Electricity and Magnetism, or Mechanics), Statistics or Computer Science
• 5 in another subject

Additional Mathematics support

We have recently launched an A-level Mathematics online course, which is available free of charge via the EdX website.

Although this optional course has been built around the A-level syllabus, it is relevant to your curriculum too.

Please note: this course is not compulsory and does not form part of the entry requirements for this course. It is self-paced so you can start it at any time.

All candidates must demonstrate a minimum level of English language proficiency for admission to the College.

For admission to this course, you must achieve the standard College requirement in the appropriate English language qualification. For details of the minimum grades required to achieve this requirement, please see the English language requirements for undergraduate applicants.

Applications are made online via the University Application Service, EUCLID.

Please follow the instructions carefully and make sure that you have included the following documentation with your application:

• Degree certificates showing award of degree.
• Previous academic transcripts for all past degree programmes.
• A reference in support or your application. The reference should be academic and dated no earlier than one year from the start of study on the LLM programme.
• Evidence of English language proficiency, if required.

If you are currently studying for your degree or you are not in a possession of an English test result you may still apply to the programme. Please note that it is your responsibility to submit the necessary documents.

After your application has been submitted you will be able to track its progress through the University’s applicant hub.

Application processing times will vary however the admissions team will endeavour to process your application within four to six weeks of submission. Please note that missing documentation will delay the application process.

You will be informed as soon as possible of the decision taken. Three outcomes are possible:

• You may be offered a place unconditionally
• You may be offered a conditional place, which means that you must fulfil certain conditions that will be specified in the offer letter. Where a conditional offer is made, it is your responsibility to inform the College Postgraduate Office when you have fulfilled the requirements set out.
• Your application may be unsuccessful. If your application has not been successful, you can request feedback from us or refer to our guidance for unsuccessful applicants, which explains some of the common reasons we why we reach this decision.
  View the University’s guidance for unsuccessful applicants

• The University’s terms and conditions form part of your contract with the University, and you should read them, and our data protection policy, carefully before applying.

  Northampton University admissions terms and conditions

Core modules

• Analysis 1
• An Introduction to Applied Mathematics
• Calculus and Applications
• Individual Research Project
• Introduction to Computing
• Introduction to University Mathematics
• Linear Algebra and Group Theory
• Probability and Statistics

Core modules

• Analysis 2
• Group Research Project
• Linear Algebra and Numerical Analysis
• Multi-variable Calculus and Differential Equations

Optional modules

You choose four modules from below.

• Groups and Rings
• Lebesgue Measure and Integration
• Network Science
• Partial Differential Equations in Action
• Principles of Programming
• Probability for Statistics
• Statistical Modelling 1

Optional modules

A large selection of optional modules are available, and you will choose eight or nine in the areas of pure mathematics, mathematical physics, applied mathematics, methodology, numerical analysis or statistics. The number of modules you take depends on the number of credits awarded to each module.

All third year modules are optional. The list below gives you an idea of the areas you can choose from.

• Advanced Topics in Partial Differential Equations
• Algebra 3
• Algebraic Combinatorics
• Algebraic Number Theory
• Algebraic Topology
• Applied Complex Analysis
• Applied Probability
• Asymptotic Methods
• Bifurcation Theory
• Communicating Mathematics
• Computational Linear Algebra
• Computational Partial Differential Equations
• Consumer Credit Risk Modelling
• Dynamical Systems
• Dynamics of Games and Learning
• Finite Elements: Numerical Analysis and Implementation
• Fluid Dynamics 1
• Fluid Dynamics 2
• Function Spaces and Applications
• Functional Analysis
• Galois Theory
• Geometric Complex Analysis
• Group Representation Theory
• Groups and Rings
• Group Theory
• High Performance Computing
• Introduction to Geophysical Fluid Dynamics
• Lebesgue Measure and Integration
• Markov Processes
• Mathematical Biology
• Mathematical Finance: An Introduction to Option Pricing
• Mathematical Logic
• Mathematics of Business and Economics
• Mathematics Research Project
• Methods for Data Science
• Network Science
• Number Theory
• Numerical Solutions of Ordinary Differential Equations
• Partial Differential Equations in Action
• Principles of Programming
• Probability for Statistics
• Probability Theory
• Quantum Mechanics 1
• Quantum Mechanics 2
• Scientific Computing
• Special Relativity and Electromagnetism
• Statistical Modelling 1
• Statistical Modelling 2
• Statistical Theory
• Stochastic Simulation
• Survival Models
• Tensor Calculus and General Relativity
• Theory of Complex Systems
• Time Series Analysis

Northampton Horizons, Business School and modules from other departments

You may choose up to two select modules offered outside the Department through the Northampton Horizons programme (Northampton Horizons), the Business School (Business for Professional Engineers and Scientists), or another Department (subject to approval) for credit as part of your eight optional modules in your third year.

The Department of Mathematics approves a selection of the modules offered through these programmes, which means there are some modules you can take for credit.

Modules approved by the Department for credit are subject to change annually, but in the past have included modules such as:

• Finance and Financial Management
• Managing Innovation
• Music Technology
• Science, Politics and Human Identity

Minimum entry standards

Our minimum entry standard for 2020 entry is A*A*A overall, to include:

• A* in Mathematics
• A* in Further Mathematics
• A in another subject

General Studies and Critical Thinking are not accepted.

Typical offer range

As a guide, here are the typical offers made in 2017-18 to at least 80% of applicants studying A-levels:

Three A-level offer: A*A*A–A*A*A*

Practical endorsement (practical science assessment)

If you are made an offer you will be required to achieve a pass in the practical endorsement in all science subjects that form part of the offer.

Further Mathematics

We are able to make special cases for students who are from schools that do not offer Further Mathematics A-level, and encourage applications from them. We are often guided by performance in MAT when making these special cases. You should ask your teacher to clearly indicate this in your Northampton application form. If your school offers Further Mathematics AS but not A level, then we expect that you should be taking it.

Additional Mathematics support

Our new A-level Mathematics online course covers a range of key topic areas to help you gain a deeper understanding of the skills and techniques required to succeed in your A-level Mathematics exams.

This optional course has been built around the A-level syllabus with the aim of developing your thinking skills, fluency and confidence.

Please note: this course is not compulsory and does not form part of the entry requirements for this course. It is available free of charge via the EdX website. It is self-paced so you can start it at any time.

Minimum entry standards

Our minimum entry standard for 2020 entry is 39 points overall, to include:

• 7 in Mathematics at higher level
• 6 in another subject at higher level

Typical offer range

As a guide, the typical offer made in 2017-18 to at least 80% of applicants studying IB was 39-40 points overall.

Mathematics Higher Level for award in 2021

For entry in 2021, the Mathematics Analysis and Approaches or the Applications and Interpretation syllabi will be accepted at higher level, but Analysis and Approaches is preferred.

Additional Mathematics support

We have recently launched an A-level Mathematics online course, which is available free of charge via the EdX website.

Although this optional course has been built around the A-level syllabus, it is relevant to your curriculum too.

Please note: this course is not compulsory and does not form part of the entry requirements for this course. It is self-paced so you can start it at any time.

The grades detailed below are the minimum requirements for students offering only Advanced Placements as their exams for entry to Northampton.

If you are studying a High School Diploma that is accepted by Imperial alongside Advanced Placements, requirements may apply to both your Diploma and Advanced Placements.

Please consult our country index to check whether we accept your High School Diploma programme for admission.

Our minimum requirement for this course is grades 5, 5, 5 to include:

• 5 in Calculus BC
• 5 in Chemistry, Physics C (Electricity and Magnetism, or Mechanics), Statistics or Computer Science
• 5 in another subject

Additional Mathematics support

We have recently launched an A-level Mathematics online course, which is available free of charge via the EdX website.

Although this optional course has been built around the A-level syllabus, it is relevant to your curriculum too.

Please note: this course is not compulsory and does not form part of the entry requirements for this course. It is self-paced so you can start it at any time.

All candidates must demonstrate a minimum level of English language proficiency for admission to the College.

For admission to this course, you must achieve the standard College requirement in the appropriate English language qualification. For details of the minimum grades required to achieve this requirement, please see the English language requirements for undergraduate applicants.

Applications are made online via the University Application Service, EUCLID.

Please follow the instructions carefully and make sure that you have included the following documentation with your application:

• Degree certificates showing award of degree.
• Previous academic transcripts for all past degree programmes.
• A reference in support or your application. The reference should be academic and dated no earlier than one year from the start of study on the LLM programme.
• Evidence of English language proficiency, if required.

If you are currently studying for your degree or you are not in a possession of an English test result you may still apply to the programme. Please note that it is your responsibility to submit the necessary documents.

After your application has been submitted you will be able to track its progress through the University’s applicant hub.

Application processing times will vary however the admissions team will endeavour to process your application within four to six weeks of submission. Please note that missing documentation will delay the application process.

You will be informed as soon as possible of the decision taken. Three outcomes are possible:

• You may be offered a place unconditionally
• You may be offered a conditional place, which means that you must fulfil certain conditions that will be specified in the offer letter. Where a conditional offer is made, it is your responsibility to inform the College Postgraduate Office when you have fulfilled the requirements set out.
• Your application may be unsuccessful. If your application has not been successful, you can request feedback from us or refer to our guidance for unsuccessful applicants, which explains some of the common reasons we why we reach this decision.
  View the University’s guidance for unsuccessful applicants

• The University’s terms and conditions form part of your contract with the University, and you should read them, and our data protection policy, carefully before applying.

  Northampton University admissions terms and conditions