We offer you lively and modern programmes of study centred on the application of mathematics, presented in a stimulating environment, by experts in the field.

# Overview

Mathematics is essential:

- to the study of science - few scientific developments are possible without underlying mathematical theories
- essential in the construction of models of the economy, which influence the decisions of business and government
- to the development of methods of secure communication - used by us all for banking, internet transactions, mobile phone conversations

We believe that undergraduates are best served by studying in a Division that is active in research to the highest level, and we are fortunate in having an excellent international reputation for our research work. Our courses are taught by those who have great enthusiasm for their subject, a dedication to it, and an appreciation of the needs of students.

As well as offering degrees in Mathematics and Mathematical Biology, we offer a wide range of Joint Honours Degrees, where Mathematics can be combined with a variety of other subjects, for example, Accountancy, Economics, English, Physics, and Psychology.

The BSc/MMath (Hons) Mathematics degree programmes are certified by the Institute of Mathematics and its Applications

We are a relatively small Division and are able to operate with an excellent staff/student ratio. One advantage of this is that we can get to know each student personally, and so can offer a friendly and supportive learning experience. In addition, our Student-Staff Committee meets regularly to discuss matters of importance to our students.

Computing power is used extensively in modern mathematics. Our students have access to a dedicated computer pool 24 hours a day 7 days a week. Students use computers to assist their studies at all levels, using specialist mathematics software, writing up projects and obtaining information from the internet.

Furthermore, you can join DuMaS (Dundee Mathematical Society), our student society, which regularly organises social events such as the annual ball, bowling or cinema nights, careers events and BBQs.

# Entry Requirements

The following are the minimum, up-to-date entry requirements.

Courses starting 2017 | ||
---|---|---|

Qualification | Level 1 Entry |
Advanced Entry to Level 2 |

SQA Higher/Advanced Higher | BBBB (minimum) - AABB (typical) at Higher including mathematics at B |
AB at Advanced Higher including mathematics at A, plus AB at Higher in different subjects |

GCE A-Level | BSc: BCC (minimum) - BBB (typical) including A-Level mathematics at BMMath: ABB at A-Level including mathematics at B |
BBC - ABB at A-Level including A-Level mathematics at A |

Irish Leaving Certificate (ILC) | AABB at Higher Level including mathematics at B |
Level 2 entry is not possible with this qualification |

International Baccalaureate (IB) Diploma | BSc: 30 points at Higher Level grades 5, 5, 5 to include mathematicsMMath: 32 points at Higher Level grades 6, 5, 5 to include mathematics.A combination of IB Certificate plus other qualifications, such as A-Levels, Advanced Placement Tests or the International Baccalaureate Career-related Programme (IBCP), will also be considered. |
34 points at Higher Level grades 6, 6, 5 to include mathematics at grade 6 |

Graduate Entry | ||

BTEC | A relevant BTEC Extended Diploma with DDM | A relevant HND with Merits in appropriate Science/Mathematics modules A relevant BTEC Extended Diploma with DDD |

SQA Higher National (HNC/HND) | A relevant HNC with B in the Graded Unit including Mathematics for Engineering 1 | A relevant HNC with A in the Graded Unit including Mathematics for Engineering 2 and 120 SCQF points. A relevant HND with BB in the Graded Units including Mathematics for Engineering 2 |

Scottish Baccalaureate | Pass with BC at Advanced Higher in Mathematics and a Science/Engineering subject | Distinction with AB at Advanced Higher in Mathematics and a Science/Engineering subject |

SWAP Access | Relevant science subjects with ABB grades including Mathematics and Physics Units at SCQF Level 6 | Level 2 entry is not possible with this qualification |

Advanced Diploma | Grade B with ASL-A Levels at AB in Mathematics and a Science/Engineering subject | Grade B with ASL-A Level at AA in Mathematics and a Science/Engineering subject |

Welsh Baccalaureate | Pass with A level at AB in Mathematics and a Science/Engineering subject | Pass with A level at AA in Mathematics and a Science/Engineering subject |

European Baccalaureate | 70% overall with 7 in Mathematics | 75% overall with 7.5 in Mathematics |

Other Qualifications | ||

Notes |

EU and International qualifications

### English Language Requirement

For non EU students

IELTS Overall | 6.0 |
---|---|

Listening | 5.5 |

Reading | 5.5 |

Writing | 6.0 |

Speaking | 5.5 |

Equivalent grades from other test providers

#### English Language Programmes

We offer Pre-Sessional and Foundation Programme(s) throughout the year. These are designed to prepare you for university study in the UK when you have not yet met the language requirements for direct entry onto a degree programme.

Discover our English Language Programmes

# Teaching & Assessment

### How you will be taught

You will learn by traditional methods such as lectures, tutorials, and workshops as well as via computer assisted learning. From Level 2 onwards we teach the use of professional mathematical software packages in order to allow you to explore mathematics far beyond the limits of traditional teaching. This also prepares you for the way in which Mathematicians work in finance, industry and research.

Our excellent staff student ratio allows for close contact between students and lecturers and provides a lively learning environment. For example, we run "Maths Base'', a drop-in facility in the Division, which provides another source of help with your studies over and above what you can expect from your lectures and tutorials.

### How you will be assessed

Assessment for most modules involves a final examination and takes into account varying amounts of continuous assessment, including assignments and class tests.

### What you will study

#### MMath Honours Degree

An MMath honours degree normally takes five years, full time, you study levels 1-5, as described below.

#### BSc or MA Honours Degree

An honours degree normally takes four years, full time, you study levels 1-4, as described below.

#### Advanced Entry Honours Degree

It is possible to study for most of our honours degrees in one year less if you have the required grades and subjects as listed in the Entry Requirements section. You study levels 2-4 for the BSc/MA or 2-5 for the MMath. There are definite advantages to considering this route as the time needed to study is reduced by one year which enables you to start working and earning earlier.

#### Typical Degree Programme

#### Level 1

At Level 1 students taking a degree fully within Mathematics spend two thirds of their time devoted to Mathematics and one third to another subject of their choice. Joint degrees typically involve a 50-50 split between Mathematics and the other subject. Mathematics modules:

- Mathematics 1A: Topics include Functions, Differential Calculus, Polynomials, Series, Trigonometry.
- Topics in Pure Mathematics: This module covers logic, methods of proof, an introduction to group theory and an introduction to number theory.
- Mathematics 1B: Topics include Application of differentiation to curve sketching, Integral calculus, Vector and matrix geometry, Matrices and linear equations, Three-dimensional geometry, Complex numbers.
- Statistics and Probability: This module covers data analysis, statistical relationships, probability, continuous and discrete distributions, covariance and independence, together with a brief introduction to applications.

#### Level 2

At Level 2 students taking a degree fully within Mathematics take either 4 or 5 modules in Mathematics, with the remaining 1 or 2 modules being taken in a subject of their choice. Joint degrees typically involve a 50-50 split between Mathematics and the other subject.

- Mathematics 2A : Vectors and vectors spaces, inner products, matrices and linear equations, introductory differential equations, further differentiation and integration.
- Mathematics 2B: Independence and bases, determinants, eigenvalues and eigenvectors, linear transformations, functions of several variables, multivariable calculus.
- Discrete Mathematics: Sets and graphs, combinatorics, recurrence relations, difference equations, Markov chains, and game theory.
- Computer Algebra and Dynamical Systems: This module provides an introduction to the computer algebra software Maple and then subsequently uses this software to explore some simple dynamical systems.
- Statistics 2: Sampling distributions, Hypothesis testing, Linear Regression, Computational analysis of data using the software package R.

#### Level 3

Students taking a degree fully within Mathematics typically take modules in the following topics. Joint Honours students typically take half of these modules.

- Differential equations
- Vector calculus
- Real analysis
- Complex analysis
- Operational research
- Fundamentals of scientific computing (using the software package Matlab)
- Differential geometry
- Mathematical biology I

#### Level 4

Students taking a degree fully within Mathematics complete a personal project, and typically select six modules from the following list. Joint Honours students typically take four of these modules, or two plus a project.

- Graph theory
- Ordinary differential equations and their approximation
- Partial differential equations and their approximation
- Dynamical systems
- Computational modelling and programming
- Statistics & stochastic processes
- Inverse problems
- Optimization in finance and energy
- Measure Theory
- Functional Analysis
- Mathematical biology II
- Mathematics of fluids and plasmas I (Fluid dynamics)
- Mathematics of fluids and plasmas II (Magnetohydrodynamics)

#### Level 5

This year is followed by the MMath/MSci Honours students. Students undertake a year-long personal project, and typically select six of the following modules:

- Dynamical systems
- Computational modelling and programming
- Statistics & stochastic processes
- Inverse problems
- Optimization in finance and energy
- Measure Theory
- Functional Analysis
- Mathematical oncology
- Mathematical ecology & epidemiology
- Mathematical physiology
- Advanced fluid dynamics

# Careers

Mathematics is central to the sciences, and to the development of a prosperous, modern society. The demand for people with mathematical qualifications is considerable, and a degree in mathematics is a highly marketable asset.

Mathematics graduates are consistently amongst those attracting the highest graduate salaries and can choose from an ever-widening range of careers in research, industry, science, engineering, commerce, finance and education.

Many of our graduates enter the financial sector following career paths in accountancy, banking, the stock market and insurance.

Even if you do not take your mathematics any further than university, employers know that mathematics graduates are intelligent, logical problem solvers. With this training behind you, the career options become almost limitless.

Jonathan Weightman, BSc Mathematics

“This course was very enjoyable. The lectures were well-explained and the lecturers were very friendly, professional and approachable. They were always willing to explain ideas in greater detail, which certainly contributed to my successful performance.”

# Fees & Funding

The fees you pay will depend on your fee status. Your fee status is determined by us using the information you provide on your application.

Find out more about fee status

### Fees for students starting 2017/18

Fee category | Fees for students starting 2017/18 |
---|---|

Scottish and EU students |
£1,820 per year of study (for Sept 2016 entry). Fees for September 2017 will be confirmed by the Scottish Government in early 2017. |

Rest of UK students |
BSc - £9,250 per year, for a maximum of 3 years, even if you are studying a four year degree. MMath/MSci - £9,250 per year, for a maximum of 4 years, even if you are studying a five year degree. See our scholarships for rest of UK applicants. |

Overseas students (non-EU) |
£17,950 per year of study. See our scholarships for international applicants. |

Scottish and EU students can apply to the Students Award Agency for Scotland (SAAS) to have tuition fees paid by the Scottish Government.

Rest of the UK students can apply for financial assistance, including a loan to cover the full cost of the tuition fees, from the Student Loans Company.

Tuition fees for Overseas (non-EU) students are guaranteed for the length of your course. This means that the tuition fee you pay in your first year (shown above) is the same fee you will pay for each year of your course. We guarantee that this will not increase while you are studying with us. The only exceptions to this are our MBChB Medicine, BSc Medical Sciences and BDS Dentistry degrees which charge a different tuition for the clinical years.

# Your Application

Degree | UCAS Code | KIS Data | |
---|---|---|---|

Apply Now | Mathematics BSc (Hons) | G100 | |

Apply Now | Mathematics MMath | G101 | |

Apply Now | Mathematics and Economics BSc | GL11 | |

Apply Now | Mathematics and Financial Economics BSc | GLD1 | |

Apply Now | Mathematics and Physics BSc | FG31 | |

Apply Now | Mathematics and Physics MSci | F3G1 | |

Apply Now | Mathematics and Psychology BSc | CG81 |