Mathematics BSc (Hons)
Why Dundee
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 offer you lively and modern programmes of study centred on the application of mathematics, presented in a stimulating environment, by experts in the field.
Why study Mathematics at Dundee?
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
What's so good about Mathematics at Dundee?
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 StudentStaff 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.
Degree Combinations
 Mathematics MMath
 Mathematics and Accountancy BSc
 Mathematics and Business Economics with Marketing MA
 Mathematics and Economics BSc
 Mathematics and English MA
 Mathematics and Financial Economics BSc
 Mathematics and Physics BSc
 Mathematics and Psychology BSc
Related Courses
What You'll Study
The Mathematics degrees are taught by the Division of Mathematics.
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 dropin 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.
MMath Honours Degree
An MMath honours degree normally takes five years, full time, you study levels 15, as described below.
BSc or MA Honours Degree
An honours degree normally takes four years, full time, you study levels 14, 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 24 for the BSc/MA or 25 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 5050 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, Threedimensional 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 5050 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
 Mathematical methods (Vector calculus; integrations over curves, surfaces, volumes; potentials)
 Real analysis
 Operational research
 Fundamentals of scientific computing (using the software package Matlab)
 Differential geometry
 Mathematical biology I
 Mathematics of fluids and plasmas I (Fluid dynamics)
Level 4
Students taking a degree fully within Mathematics typically take modules in the following topics. Joint Honours students typically take four of these modules. Personal transferable skills
 Personal project
 Complex analysis
 Graph theory
 Ordinary differential equations and their approximation
 Partial differential equations and their approximation
 Mathematical biology II
 Mathematics of fluids and plasmas II (Magnetohydrodynamics)
Level 5
This year is only followed by the MMath/MSci Honours students. Students undertake a yearlong personal project, and select six of the following modules: Dynamical systems
 Computational modelling and programming
 Statistics & stochastic processes
 Inverse problems
 Advanced fluid dynamics
 Optimization in finance and energy
 Mathematical oncology
 Mathematical ecology & epidemiology
 Mathematical physiology
Assessment for most modules involves a final examination and takes into account varying amounts of continuous assessment, including assignments and class tests.
Employability
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 everwidening 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.
Entry Requirements
The following are the minimum requirements, please note qualifications have to be obtained at the first sitting of examinations.
Please note that the entry requirements in our printed prospectus may be subject to change. The entry requirements listed below are up to date and should be referred to in case of any discrepancy.
Courses starting September 2015
Level 1 Entry
Qualification  Minimum Grade  Typical Grade 
SQA Higher  BBBB  AABB 
GCE ALevel  BCC  BBB 
ILC Higher  AABB  
IB Diploma  30 points (including 5, 5, 5 at Higher Level)  
Essential Subjects  Mathematics at B (SQA Higher, GCE Alevel, ILC Higher or IB Higher Level)  
EU & International  Visit our Your Country webpages for entry requirements tailored to your home country  
Other Qualifications  
SQA  A relevant HNC with B in the Graded Unit including Mathematics for Engineering 1  
Scottish Baccalaureate  Pass with BC 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  
EDEXCEL  A relevant BTEC Extended Diploma with DDM  
Advanced Diploma  
Welsh Baccalaureate  
European Baccalaureate 
Courses starting September 2015
Advanced Entry (to Level 2)
Qualification  Grade  
SQA Advanced Higher  AB (Advanced Higher) + AB (Higher) in different subjects  
GCE ALevel  Minimum Grade: BBC Typical Grade: ABB 

IB Diploma  34 points (including 6, 6, 5 at Higher Level)  
Essential Subjects  Mathematics at A at SQA Advanced Higher, GCE ALevel or IB Higher Level  
EU & International  Visit our Your Country webpages for entry requirements tailored to your home country  
Other Qualifications  
SQA  A relevant HNC with A in the Graded Unit including Mathematics for Engineering 1 and 120 SCQF points A relevant HND with BB in the Graded Units including Mathematics for Engineering 2 

Scottish Baccalaureate  Distinction with AB at Advanced Higher in Mathematics and a Science/Engineering subject  
SWAP Access  
EDEXCEL  A relevant HND with Merits in appropriate Science/Mathematics modules. A relevant BTEC Extended Diploma with DDD 

Advanced Diploma  BEng  Grade B with ASLA Levels at AB in Mathematics and a Science/Engineering subject MEng  Grade B with ASLA Levels at AB in Mathematics and Physics 

Welsh Baccalaureate  BEng  Pass with A level at AB in Mathematics and a Science/Engineering subject MEng  Pass with A level at æAB in Mathematics and Physics 

European Baccalaureate  BEng  70% overall with 7 in Mathematics and a Science/Engineering subject MEng  70% overall with 7 in Mathematics æand Physics 
Fees & Funding
There have been many changes to the arrangements for funding students entering higher education in recent years, yet a degree from the University of Dundee, with its high rate of employment success, remains a costeffective option.
The fees you pay will, in most cases, depend on your current country of residence.
The fee shown is annual, and may be subject to an increase each year.
Fee category  Fees for students starting September 2015 

Scottish students  £1,820 per year of study (for Sept 2014 entry). Fees for September 2015 will be confirmed by the Scottish Government in early 2015. 
Rest of UK students  £9,000 per year, for a maximum of 3 years, even if you are studying a four year degree. See our scholarships for rest of UK applicants." 
EU students  £1,820 per year of study (for Sept 2014 entry). Fees for September 2015 will be confirmed by the Scottish Government in early 2015. 
Overseas students (nonEU)  £15,950 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 Loan Company.