Mathematics MMath

   
   
  

Fact file - 2017 entry

UCAS code:G103
Qualification:MMath Hons
Type and duration:4 year UG
Qualification name:Mathematics
UCAS code
UCAS code
G103
Qualification
Mathematics | MMath Hons
Duration
4 years full-time
A level offer
A*AA/AAA/A*AB
Required subjects
Three A levels, or equivalent, including mathematics at grade A. Applicants may be asked for one of: A*in A level mathematics, A in A level further mathematics or A in AS level further mathematics. STEP is not required but may be taken into consideration when offered. A levels in citizenship studies, critical thinking and general studies are not accepted.
IB score
36 (including 6 in maths at Higher Level)
Course location
University Park Campus 
Course places
250 for all mathematics courses
School/department
 

This course may still be open to international applicants for 2016 entry. Please visit our international pages for details of courses and application procedures from now until the end of August.

Overview

The MMath provide you with skills such as numeracy and problem solving skills that are highly valued by employers.
Read full overview

The three-year BSc and four-year MMath courses have a common programme for the first two years. The first year includes core modules that provide an essential foundation of mathematical skills, as well as more specialised modules in pure mathematics, applied mathematics and probability and statistics.

As you progress on the course, more specialisation is possible. Both the BSc and MMath allow you to study from a wide range of mathematical topics providing you with skills such as numeracy and problem-solving that are highly valued by employers. The MMath gives you an insight into problems of current research interest and gives you a deeper mathematical knowledge. On both courses it is possible to take some modules from other schools in the University.

MMath Mathematics with Statistics

Students who succeed in a sufficient number of statistics modules may opt for the MMath Mathematics with Statistics degree (G103), which is recognised by the Royal Statistical Society (RSS).

International Student Satisfaction Awards

Second place ranking

Nottingham enters the league table at number two in the International Student Satisfaction Awards 2014 and is one of only five UK universities to receive a rating of ‘outstanding’. The rankings are compiled by StudyPortals, an independent study choice platform covering more than 1400 universities in 40 European countries.

Royal Statistical Society (RSS)

Specific pathways within this course are accredited by the Royal Statistical Society (RSS) as being of the appropriate breadth and depth to provide a foundation for a career as a professional statistician. Successful completion of these pathways automatically qualifies you for the RSS Graduate Statistician (GradStat) award. This award is a stepping stone to full professional membership of the RSS and the Chartered Statistician (CStat) award. More details can be found on the Royal Statistical Society website.

Institute and Faculty of Actuaries

The School has an agreement with the Institute and Faculty of Actuaries, under which students who obtain an average of more than 60% in any of the following combinations of modules will gain exemption from subject CT3 Probability and Mathematical Statistics. This applies to all of the undergraduate courses offered by the School of Mathematical Sciences, including Natural Sciences.

G11PRB Probability
G11STA Statistics
G12PMM Probability Models and Methods

or

G11PRB Probability
G12SMM Statistical Models and Methods
G12PMM Probability Models and Methods

Year one 

You will study core mathematics under the three headings of Analytical and Computational Foundations, Calculus, and Linear Mathematics; this includes an introduction to the computer package MATLAB. You will also begin studying the three main subject areas within mathematics, namely pure mathematics, applied mathematics, and probability and statistics.

Year two

Choosing from a wide range of optional modules, you will typically continue to study two of the three main mathematical subject areas.

Year three

You will choose from a wide range of advanced optional modules, one of which will be a standalone project. You will specialise in one of three main subject areas, allowing you to develop the foundations for further study in that area in the fourth year, although you will be able to choose modules in other subject areas too.

Year four 

You will choose from a wide range of advanced optional modules, and must also write a dissertation, which accounts for one third of your fourth year. You must specialise to some extent in one of the three main subject areas, although you can choose modules from other subject areas as well.

 

Entry requirements

A levels: A*AA/AAA/A*AB, including mathematics at grade A. Applicants may be asked for one of: A*in A level mathematics, A in A level further mathematics or A in AS level further mathematics. STEP is not required but may be taken into consideration when offered.

A levels in general studies, critical thinking and citizenship studies are not accepted.

IB: 36 overall, including 6 in mathematics at higher level. 

English language requirements 

IELTS 6.5 (no less than 6.0 in any element)

Students who require extra support to meet the English language requirements for their academic course can attend a presessional course at the Centre for English Language Education (CELE) to prepare for their future studies. Students who pass at the required level can progress directly to their academic programme without needing to retake IELTS. Please visit the CELE webpages for more information.

Alternative qualifications 

For details see our alternative qualifications page

Flexible admissions policy

We may make some applicants an offer lower than advertised, depending on their personal and educational circumstances.

Foundation courses

The school also accepts students who have completed and passed the Engineering and Physical Sciences Foundation Certificate.

 
 

Modules

Typical Year One Modules

Analytical and Computational Foundations
This module will introduce you to three core concepts and techniques that underpin all maths modules in your degree. These are mathematical reasoning (the language of maths and providing concrete proof of mathematical theorems), an introduction to the computer package MATLAB (its use and application), and basic analysis methods. You will have two hours of lectures per week, combined with computer workshops, problem classes and tutorial support.
 
Calculus
In this module, you will begin by practising the basic concepts and methods of calculus including limits, functions, continuity, Taylor series, and Laplace transforms. In the second semester you will move onto more advanced usage of calculus. Topics will be based around the calculus of functions of several variables and include partial derivatives, chain rules, the vector operator grad, Lagrange multipliers and multiple integrals. This module is taught in two one-hour of lectures per week combined with problem classes and tutorial support.
 
Linear Mathematics
This module introduces you to the methods and practices of linear mathematics that you will need in subsequent modules on your course, such as complex numbers, vector algebra and matrix algebra. You will then expand your knowledge to include vector spaces, linear transformations and inner product spaces through two hours of lectures per week combined with problem classes and tutorial support.
 
Foundations of Pure Mathematics
This module will provide a foundation for all further pure mathematics studies on your course. You will learn that pure mathematics is a language based on the notion of sets, functions and relations. This module will help you to learn how to read and write this language. There will also be discussions with examples on the application and use of pure mathematics. You will have two hours per week of lectures plus example and problem classes to develop your skills.
 
Applied Mathematics
In this module, you will receive an introduction to classical mechanics and modelling in applied mathematics. This will provide you with a foundation in applied mathematics and you will begin to apply your knowledge to real-world problems. You will spend two hours in lectures each week, plus problem classes.
 
Probability
This module provides an introduction to probability by developing a framework for the logic of uncertainty. Random variables and the topics surrounding them will also be introduced. You will spend two hours in lectures per week, plus problem classes. 
 
Statistics
This module offers you the chance to learn about a range of statistical ideas and skills, along with concepts and techniques for modelling and practical data analysis. You will learn to write reports based on these topics which will help you in further studies. You will have a combination of lectures, problem classes and workshops totalling around four hours per week.
 
 

Typical Year Two Modules

Algebra and Number Theory
This module is based on concepts from year one pure mathematics modules. You will develop these concepts further to include those of groups and rings, substructures and quotient structures. Basic elementary number theory is introduced and you will be shown how to apply your knowledge to concrete situations using number theory. You will spend around three hours in lectures and problem classes per week studying this module as well as four tutorials in the Autumn semester.
 
Complex Functions
In this module you will learn about the theory and applications of functions of a complex variable using a method and applications approach. You will develop understanding of the theory of complex functions and evaluate certain real integrals using your new skills. There will be two hours of lectures per week and a one hour fortnightly problem class.
 
Introduction to Mathematical Physics
This year-long module explores the classical and quantum mechanical description of motion. You will investigate the laws of classical mechanics and apply different forms to problems such as planetary and rigid body motion and vibrating systems. The knowledge gained in this module will benefit you for more advanced studies of mathematical physics in years three and four. You will have a combination of lectures, problem and example classes totalling around three hours per week.
 
Mathematical Analysis
In this module you will build on the foundation of knowledge gained from your core year one modules in Computational and Analytical Mathematics and Calculus. You will learn to follow a rigorous approach needed to produce concrete proof of your workings. There will be two one-hour lectures each week and a fortnightly problem class.
 
Modelling with Differential Equations
In this year-long module you will further explore mathematical modelling based on your knowledge from your core year one modules. You will learn techniques for studying linear and nonlinear systems of ordinary differential equations, using linearisation and phase planes. Models based on partial differential equations and how to analyse them will also be explored along with continuum models to analyse the flow of fluids. You will have three hours of lectures, example and problem classes each week. 
 
Statistical Models and Methods
The first part of this module provides an introduction to statistical concepts and methods and the second introduces a wide range of techniques used in a variety of quantitative subjects. The key concepts of inference including estimation and hypothesis testing will be described as well as practical data analysis and assessment of model adequacy. You will have a combination of lectures, example and problem classes each week. 
 
Professional Skills for Mathematicians
This module will equip you with the skills needed for graduate employment. You will work on two group projects based on open-ended mathematical topics agreed by your group. You will also work independently to improve your communication skills and learn how to summarise technical mathematical data for a general audience. You will be provided with some commercial and business awareness and explore how to use your mathematical sciences degree for your future career. You will attend a two hour workshop each week.
 
 

Typical Year Three Modules

Mathematics Project
In this module you will choose a mathematical topic from a provided list and conduct a semester-long self-directed study, producing a written final report. There will be support from a supervisor to assist you in regular meetings throughout the semester.
 
Advanced Quantum Theory
In this module you will apply the general theory you learnt in Introduction to Mathematical Physics to more general problems. New topics will be introduced such as the quantum theory of the hydrogen atom and aspects of angular momentum such as spin. You will have around four hours of lectures each week.
 
Game Theory
In this module you will explore the connection between numbers and games and how games can be analysed. You will learn about the algorithms of gaming, stemming from many areas of mathematics and computing. You will be able to use the mathematical knowledge you have gained so far on the course to analyse various situations in a logical manner practising strategic decision-making. You will spend two hours per week in lectures.
 
Mathematical Medicine and Biology
In this module you will learn that mathematics can be applied to a wide range of applications in medicine and biology. Prior knowledge of biology is not essential as the foundation of this module stems from the Modelling with Differential Equations module in year two of your studies. There is considerable emphasis on model building and development relating to topics such as the spread of disease, the growth of tumours and biological oscillations. For this module there will be two hours of lectures and two hours of example or problem classes each week. 
 
Medical Statistics
In this module you will learn that medical statistics is one of the largest areas of application of statistical methodology. You will build on your theoretical knowledge of statistical inference by a practical implementation of the generalised linear model. You will move on to enhance your understanding of statistical methodology, including the analysis of discrete and survival data. You will also be trained in the use of a high-level statistical computer program. For this module there will be a combination of lectures, computer workshops and problem classes totalling around three hours each week.
 
Number Fields and Galois Theory
This module will help you develop your knowledge of the basic theory of fields, their extensions and their automorphism groups with applications to classical problems. Particular emphasis is laid on finite fields and number fields as you prove the basic propositions concerning Galois Theory. You will build a theoretical foundation to the construction of splitting fields and then move onto the factorization of polynomials. For this module there will be a combination of lectures, example and problem classes for around three hours each week.
 
Topics in Scientific Computation
In this module you will learn how to use numerical techniques for determining the approximate solution of ordinary and partial differential equations where a solution is not able to be reached through analytical methods alone. You will also cover topics including: Initial Value Problems for ordinary differential equations, boundary value problems, eigenvalues, eigenvectors for symmetric matrices and the Krylov subspace method. For this module there will be a combination of lectures, example and problem classes for around three hours each week. 
 
 

Typical Year Four Modules

Mathematics Dissertation
In this module you will choose a research topic from a provided list and conduct self-directed study, producing an in-depth exploration of your subject. There will be support from a supervisor to assist you and provide reports at your progress meetings throughout the year.
 
Algebraic Geometry
In this module you will explore geometrical structures using the language of algebra, demonstrating the integrity of mathematics. You will discuss affine and projective algebraic varieties over algebraically closed fields. You will cover topics such as co-ordinate rings, function fields and algebraic curves and elliptic curves. For this module there will be a combination of lectures, example and problem classes for around three hours each week.
 
Topics in Biomedical Statistics
In this module students are introduced to three main topics relating to the application of statistics and probability in biomedical sciences. These may include analysis of related areas such as: microarray data, biomedical image analysis, epidemic modelling, population genetics, nonlinear models and genetics, modelling gene networks, and systems biology. You will work on an independent project, supported by a supervisor in one of these areas. During this module you will spend three hours in lectures each week.
 
Complex Analysis
In this module you will learn that complex analysis is one of the central areas of pure mathematics. You will examine differential functions of a complex variable through a number of theorems. Topics may include: the Riemann sphere, Moebius transformations and their properties, the topological properties of analytic functions, the theorem of Picard and it’s connection with Moebius and the elements of the theory of complex dynamics.  For this module there will be a combination of lectures, example and problem classes for around three hours each week.
 
Time Series and Forecasting
This module will provide a general introduction to the analysis of data that arise sequentially in time. You will discuss several commonly occurring models, including methods for model identification for real time series data. You will develop techniques for estimating the parameters of a model, assessing its fit and forecasting future values. You will gain experience of using a statistical package and interpreting its output.  For this module there will be a combination of lectures, example and problem classes for around three hours each week.
 
Introduction to Quantum Information Science
In this module you will be introduced to the operational framework of quantum theory including the fundamental concepts of states, measurements, quantum channels and instruments. You will learn to apply mathematical formalism to calculate probability distributions of general measurements, entanglement, partial and conditional states.  For this module there will be a combination of lectures, example and problem classes for around three hours each week.
 
 

The modules we offer are inspired by the research interests of our staff and as a result may change for reasons of, for example, research developments or legislation changes. The above list is a sample of typical modules we offer, not a definitive list.

 
 

Careers

The school has a specialised careers programme to help you develop your CV and start planning for your future career. 

Mathematics is a wide-ranging and versatile subject and the list of careers open to you as a mathematics graduate is extensive. Some graduates make specific use of mathematics while others use the more general skills they have gained, such as analysis and problem solving, high-level numeracy and a capacity to learn independently.

Our graduates are in high demand from prospective employers and have been well received into a broad range of careers in commerce, industry, the professions and government. The University of Nottingham is one of a small number of leading universities whose graduates are targeted for recruitment by various top companies. Our graduates have been well received in a broad spectrum of careers which include:

  • commerce
  • engineering
  • financial services
  • government
  • industry
  • information technology
  • science

Postgraduate research

Rather than directly entering the employment market upon graduating, you might decide to continue your studies at higher-degree level. Postgraduate areas of study include:

  • business studies
  • computer science
  • education
  • engineering
  • finance
  • mathematics
  • statistics

Each year some of our best students choose to stay at Nottingham and join our lively group of postgraduate research students in the School of Mathematical Sciences.

The research groups within the school each offer a large number of diverse and interesting projects, across the specialisations of pure mathematics, applied mathematics and probability and statistics.

Professional recognition

royal-statistical-society

This course is recognised by the Royal Statistical Society.

Average starting salary and career progression

In 2014, 93% of first-degree graduates in the School of Mathematical Sciences who were available for employment had secured work or further study within six months of graduation. The average starting salary was £24,387 with the highest being £50,000.*

* Known destinations of full-time home and EU first-degree graduates, 2013/14.

Careers support and advice

Studying for a degree at The University of Nottingham will provide you with the type of skills and experiences that will prove invaluable in any career, whichever direction you decide to take. Throughout your time with us, our Careers and Employability Service can work with you to improve your employability skills even further; assisting with job or course applications, searching for appropriate work experience placements and hosting events to bring you closer to a wide range of prospective employers.

Have a look at our Careers page for an overview of all the employability support and opportunities that we provide to current students.  

 
 

Fees and funding

Scholarships and bursaries

The University of Nottingham offers a wide range of bursaries and scholarships. These funds can provide you with an additional source of non-repayable financial help. For up to date information regarding tuition fees, visit our fees and finance pages.

Home students*

Over one third of our UK students receive our means-tested core bursary, worth up to £2,000 a year. Full details can be found on our financial support pages.

* A 'home' student is one who meets certain UK residence criteria. These are the same criteria as apply to eligibility for home funding from Student Finance.

International/EU students

The University of Nottingham provides information and advice on financing your degree and managing your finances as an international student. The International Office offers a range of High Achiever Prizes for students from selected schools and colleges to help with the cost of tuition fees.

International Orientation Scholarship
The International Orientation Scholarship is awarded to the best international (full-time, non EU) applicants to the school's courses. The scholarship is awarded in subsequent years to students who perform well academically (at the level of a 2:1 Hons degree or better at the first attempt).

The scholarship value is £2000 for students on the MMath Mathematics degree course. Please note that the scholarship will be paid once for each year of study, so if you repeat a year for any reason, the scholarship will not be paid for that repeated year.

The scholarship will be paid by cheque in December each year, provided you have registered with the university and the school, are on a relevant course on the 1 December census and have paid the first instalment of your fee.

International Office

The University of Nottingham provides information and advice on financing your degree and managing your finances as an international student. The International Office offers a range of High Achiever Prizes for students from selected schools and colleges to help with the cost of tuition fees.  
 
 

Key Information Sets (KIS)

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Disclaimer
This online prospectus has been drafted in advance of the academic year to which it applies. Every effort has been made to ensure that the information is accurate at the time of publishing, but changes (for example to course content) are likely to occur given the interval between publishing and commencement of the course. It is therefore very important to check this website for any updates before you apply for the course where there has been an interval between you reading this website and applying.

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