Students in a maths lecture

Mathematics BSc

School of Mathematics and Statistics

Apply for this course

You are viewing this course for 2021-2022 entry.

Key details

Course description

Students working together at a computer

Degree-level maths is about finding ways to answer big questions. You will look at how mathematicians have tried to answer similar questions in the past. You will also learn how to construct a logical argument with reasoned conclusions.

Your study will include core mathematics, pure mathematics, applied mathematics, and probability and statistics. You can specialise later in your course, and may have the option to switch between our degrees.

You'll have the chance to study scientific programming and simulation, and practical and applied statistics.

For applied mathematics and probability and statistics, you don't need to have prior knowledge of the subject. You'll have plenty of opportunities to focus on your career and skills development too.

Modules

The modules listed below are examples from the last academic year. There may be some changes before you start your course. For the very latest module information, check with the department directly.

Choose a year to see modules for a level of study:

Title: Mathematics BSc course structure
UCAS code: G100
Years: 2021

Core modules:

Introduction to Probability and Statistics

The module provides an introduction to the fields of probability and statistics, which form the basis of much of applicable mathematics and operations research. The theory behind probability and statistics will be introduced, along with examples occurring in diverse areas. Some of the computational statistical work may make use of the statistics package R.

20 credits
Mathematics Core 1

The module explores topics in mathematics which will be used throughout many degree programmes. The module will consider techniques for solving equations, special functions, calculus (differentiation and integration), differential equations, Taylor series, complex numbers and finite and infinite series. The course will use mathematical packages, for example MAPLE, as appropriate to illustrate ideas.

20 credits
Mathematics Core II

The module continues the study of core mathematical topics begun in MAS110, which will be used throughout many degree programmes. The module will discuss 2-dimensional co-ordinate geometry, discussing the theory of matrices geometrically and algebraically, and will define and evaluate derivatives and integrals for functions which depend on more than one variable, with an emphasis on functions of two variables. The course will use mathematical packages, for example MAPLE, as appropriate to illustrate ideas.

20 credits
Numbers and Groups

The module provides an introduction to more specialised Pure Mathematics. The first half of the module will consider techniques of proof, and these will be demonstrated within the study of properties of integers and real numbers. The second semester will study symmetries of objects, and develop a theory of symmetries which leads to the more abstract study of groups.

20 credits
Vectors and Mechanics

The module begins with the algebra of vectors, essential for the study of many branches of applied mathematics. The theory is illustrated by many examples, with emphasis on geometry including lines and planes. Vectors are then used to define the velocity and acceleration of a moving particle, thus leading to an introduction to Newtonian particle mechanics. Newton's laws are applied to particle models in areas such as sport, rides at theme parks and oscillation theory.

20 credits

Optional module:

Mathematical Investigation Skills

This module introduces topics which will be useful throughout students time as undergraduates and beyond. These skills fall into two categories: computer literacy and presentation skills. Various computer packages are introduced in other modules; these share some programming capabilities, and one aim of this module is to develop programming techniques to perform mathematical investigations within the context of these mathematical packages. In addition, spreadsheets have substantial scientific capabilities, and Excel is the program of choice within industry. Finally, students will meet the typesetting package LaTeX, preparing reports and presentations into mathematical topics.

20 credits


The content of our courses is reviewed annually to make sure it's up-to-date and relevant. Individual modules are occasionally updated or withdrawn. This is in response to discoveries through our world-leading research; funding changes; professional accreditation requirements; student or employer feedback; outcomes of reviews; and variations in staff or student numbers. In the event of any change we'll consult and inform students in good time and take reasonable steps to minimise disruption.

Learning and assessment

Learning

You'll learn through lectures, problems classes in small groups and research projects. Some modules also include programming classes.

We invest to create the right environment for you. That means outstanding facilities, study spaces and support, including 24/7 online access to our online library service.

Study spaces and computers are available to offer you choice and flexibility for your study. Our five library sites give you access to over 1.3 million books and periodicals. You can access your library account and our rich digital collections from anywhere on or off campus. Other library services include study skills training to improve your grades, and tailored advice from experts in your subject.

Learning support facilities and library opening hours

Entry requirements

With Access Sheffield, you could qualify for additional consideration or an alternative offer - find out if you're eligible

Standard offer
Access Sheffield offer

The A Level entry requirements for this course are:
AAB
including A in Maths

The A Level entry requirements for this course are:
ABB
including A in Maths

A Levels + additional qualifications | ABB, including A in Maths + B in a relevant EPQ; ABB, including A in Maths + B in Further Maths ABB, including A in Maths + B in a relevant EPQ; ABB, including A in Maths + B in Further Maths

International Baccalaureate | 34, 6 in Higher Level Mathematics (Analysis and Approaches) 33 with 6 in Higher Level Mathematics

BTEC | DDD with Distinctions in Maths units DDD with Distinctions in Maths units

Scottish Highers + 1 Advanced Higher | AAABB + A in Maths AAABB + A in Maths

Welsh Baccalaureate + 2 A Levels | B + AA, including Maths B + AB, including A Maths

Access to HE Diploma | 60 credits overall in a relevant subject with Distinctions in 36 Level 3 credits, including Mathematics units, + Merits in 9 Level 3 credits 60 credits overall in a relevant subject with Distinctions in 30 Level 3 credits, including Mathematics units, + Merits in 15 Level 3 credits

Mature students - explore other routes for mature students

English language requirements

You must demonstrate that your English is good enough for you to successfully complete your course. For this course we require: GCSE English Language at grade 4/C; IELTS grade of 6.5 with a minimum of 6.0 in each component; or an alternative acceptable English language qualification

Equivalent English language qualifications

Visa and immigration requirements

Other requirements
  • We will give your application additional consideration if you have passed the Sixth Term Examination Paper (STEP) at grade 3 or above or the Test of Mathematics for University Admissions (TMUA) at grade 5 or above

We also accept a range of other UK qualifications and other EU/international qualifications.

If you have any questions about entry requirements, please contact the department.

School of Mathematics and Statistics

Students in a maths lecture

From geometry to probability, our courses cover all aspects of mathematics, pure and applied. With modules in finance, science, engineering and medical applications, we showcase the wide-ranging relevance and importance of mathematics.

Degree-level maths is about finding ways to answer big questions. You'll explore how mathematicians have tried to answer similar questions in the past. You'll also learn how to construct logical arguments with reasoned conclusions.

Your study will include core mathematics, pure mathematics, applied mathematics, and probability and statistics. You can specialise later in your course, and may have the option to switch between our degrees. You'll have the chance to study scientific programming and simulation, and practical and applied statistics. You'll have plenty of opportunities to focus on your career and skills development too.

The School of Mathematics and Statistics is based in the Hicks Building, which is next door to the Students' Union, and just down the road from the library facilities at the Information Commons and the Diamond. The Department of Physics and Astronomy is also based here.

School of Mathematics and Statistics

Why choose Sheffield?

The University of Sheffield

  A Top 100 university 2021
QS World University Rankings

  Top 10% of all UK universities
Research Excellence Framework 2014

  No 1 Students' Union in the UK
Whatuni Student Choice Awards 2019, 2018, 2017

  No 1 in the north for graduate employment
The Times and Sunday Times Good University Guide 2020


School of Mathematics and Statistics

3rd in the Russell Group for overall satisfaction

National Student Survey 2019


Graduate careers

School of Mathematics and Statistics

In the age of big data, major companies are increasingly reliant on graduates with numerical skills.

Many of our graduates go on to finance-related careers: accountancy, actuarial work, public finance, insurance. There are lots of other choices too, including: teaching, advertising, software development, operations research, drug development and meteorology.

Employers include PricewaterhouseCoopers, KPMG, Deloitte UK, GCHQ, British Airways and the European Space Agency.

Some of our graduates choose further study in mathematics and related sciences at masters and PhD level.

Sonia Nayyar in her graduation gown holding her degree certificate

"My degree in maths has given me an excellent grounding in mathematical concepts which I am able to use in my everyday work"

Sonia Nayyar Mathematics BSc

After graduating from Sheffield with a BSc in Mathematics, Sonia went on to work for a financial, actuarial and business consultancy, putting the analytic and logical thinking skills she learned during her degree to daily use.

Matt sat at a desk in an office with lots of plants in the background

"I use skills from Maths in my job every single day"

Matthew Jenkins BSc Mathematics

After graduating, Matthew used the University Careers Service to help him find a job, and he now develops software in the marine navigation industry.

A profile image of Rachael Batteson smiling in front of a yellow background

"I analyse the cost-effectiveness of new drugs, to see if they are viable to be accepted within the NHS, or other countries' health care systems"

Rachael Batteson BSc Mathematics

Rachael works in health economics, using the analysis and problem solving skills she got from her maths degree to assess the viability of new drugs.

Fees and funding

Fees

Additional costs

The annual fee for your course includes a number of items in addition to your tuition. If an item or activity is classed as a compulsory element for your course, it will normally be included in your tuition fee. There are also other costs which you may need to consider.

Examples of what’s included and excluded

Funding your study

Depending on your circumstances, you may qualify for a bursary, scholarship or loan to help fund your study and enhance your learning experience.

Use our Student Funding Calculator to work out what you're eligible for.

Visit us

University open days

There are four open days every year, usually in June, July, September and October. You can talk to staff and students, tour the campus and see inside the accommodation.

Open days: book your place

Taster days

At various times in the year we run online taster sessions to help Year 12 students experience what it is like to study at the University of Sheffield.

Upcoming taster sessions

Applicant days

If you've received an offer to study with us, we'll invite you to one of our applicant open days, which take place between November and April. These open days have a strong department focus and give you the chance to really explore student life here, even if you've visited us before.

Campus tours

Campus tours run regularly throughout the year, at 1pm every Monday, Wednesday and Friday.

Book your place on a campus tour

Apply for this course

Make sure you've done everything you need to do before you apply.

How to apply When you're ready to apply, see the UCAS website:
www.ucas.com

The awarding body for this course is the University of Sheffield.

Our student protection plan

Terms and Conditions upon Acceptance of an Offer

Explore this course:

    2021-2022