Mathematics undergraduate courses
Our courses are run in a lively environment where our teaching is informed by internationally-leading research in cutting-edge topics from string theory to meteorology.
Developing your employability
*UK domiciled graduates of full-time, undergraduate qualifications, in full-time employment, from higher education institutions.
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What we have to offer
Summer research studentships
Each year we offer a minimum of two summer research studentships to undergraduate students in the middle years of their course for a period of up to eight weeks during the summer vacation.
These studentships can help students discover whether or not they would be suited to a career in academia or one involving high levels of industrial research. For more information contact Dr Matthew Turner.
We also have a dedicated Mathematics Education module in year three which places students in local secondary schools under the watchful eye of a teacher mentor, giving them first first hand experience of teaching mathematics at this level. For more information contact Jonathan Bevan.
Benefits of Surrey
- Royal Sun Alliance
- The Walt Disney Co.
- Legal and General
- Lloyds Banking Group
- Bentley Motors
- Department of Health
- VW Group
- Office for National Statistics
- Tesco Stores Ltd.
Expected prior knowledge
In your first semester it will be assumed that you have a good knowledge of all the pure mathematics you learned at A-level. There will be some tests on this core A-level material within the first few weeks.
The purpose of these texts is to ensure that all students start with an appropriate level of knowledge. Revision material and exercises will be provided at the start of the course. You should find this work straightforward, provided that you are familiar with the following:
Basic algebraic processes such as, simplifying and substituting into expressions, expanding brackets and factorisation.
Solution of equations such as, linear, quadratic, simultaneous, inequalities and changing the subject of formulae.
Graphs of simple functions such as, straight line, quadratic, cubic and reciprocal.
- Function Notation, domain and range (or codomain), composite and inverse functions
- Indices and logarithms, the exponential ex and natural logarithm ln(x) functions
- Functions defined parametrically or implicitly
- Partial fractions
- The Binomial Theorem
- Algebraic division and the Factor Theorem
- Arithmetic and Geometric series. Formulae for nth term and sum of first n terms
- Trigonometric functions (sin, cos, tan, cosec, sec, cot). Addition and double-angle formulae, trigonometric equations and identities, radians, graphs of trigonometric functions
- Differentiation of powers of x, sums, differences, products, quotients, composite functions, exponential, logarithmic and trigonometric functions
- Applications of differentiation to gradients, tangents and normals, maximum and minimum values, rates of change
- Integration of powers of x, sums, differences, exponential and trigonometric functions
- Integration using partial fractions, by substitution and by parts
- Applications of integration to areas and volumes, and to solving simple differential equations
- Vector notation.
The links above can be used as a starting point, and your A-level textbooks will contain more information.To test yourself in these areas have a go at our question sheet (40K PDF). The answer sheet (40K PDF) is also available.
As well as being fully knowledgeable about your A-Level syllabus you can also prepare yourself for a university education by reading some popular science books about the subject. Below are a few you might want to try:
- The music of the primes - Marcus du Sautoy
- The code book - Simon Singh
- Fermat's last theorem - Simon Singh
- An imaginary tale: The story of i [the square root of minus one] - Paul J. Nahin
- `e': The story of a number - Eli Maor
- A history of Pi - Petr Beckmann
- The great mathematical problems - Ian Stewart
- The quantum universe: Everything that can happen does happen - Brian Cox and Jeff Forshaw.
You may also want to acquaint yourself with the following blogs:
(The opinions expressed in the above blogs are those of the authors of the articles and do not necessarily state or reflect the views of the staff from the University of Surrey).
Find a course
We offer a comprehensive range of modular degree courses, the flexible nature of most of these means that you can easily switch between options. All our courses are recognised by the Institute of Mathematics and its Applications (IMA).
The enhanced four or five year MMath course offers the opportunity to study at a higher level, and the six month integrated placement scheme gives students the chance to use this high level material in a working research environment.
Find out more about applying to Surrey.