University home > Unit and programme catalogues in 2021/22 > Programme catalogue > Faculty of Science > School of Mathematics > Mathematics with Statistics (MSci) > Specification
Programme code  2MATH006U 

Programme type  Single Honours 
Programme director(s) 
Arne Kovac

Faculty  Faculty of Science 
School/department  School of Mathematics 
Teaching institution  University of Bristol 
Awarding institution  University of Bristol 
Accrediting types: 
Accredited by the Institute and Faculty of Actuaries for the purpose of exemption from some professional examinations. (http://www.actuaries.org.uk/) Accredited by the Royal Statistical Society (RSS) for the purpose of eligibility for Graduate Statistician status. (http://www.rss.org.uk/) This programme is accredited to meet the educational requirements of the Chartered Mathematician designation awarded by the Institute of Mathematics and its Applications. (http://www.ima.org.uk/) 
Relevant QAA subject benchmark groups  Mathematics, statistics and operational research (2019) (benchmark statement) 
Mode of study  Full Time 
Programme length  4 years (full time) 
Programmes in Mathematics and Mathematics with Statistics provide a broad education in fundamental aspects of the subject and a more advanced knowledge of some topics. They develop skill in mathematical reasoning, problemsolving, and mathematical manipulation; facility in handling abstract concepts; and an ability to think logically and critically and to express ideas clearly. They foster students' intellectual development, and their employability, by enabling the study of subjects allied to or complementary to mathematics.
M.Sci. programmes include a treatment of some topics in considerable depth, at a level approaching that of current research.
Programmes with Statistics include an education in probability theory and statistical reasoning up to honours or masters' level respectively for BSc and MSci.
Programme Intended Learning Outcomes  Learning and Teaching Methods 


Strong support in the first year, more independence encouraged in later years. First year based on lectures supported by three smallgroup tutorials per week. Second year based on lectures and problem classes. Third and fourth years based on lectures and/or seminars, guided reading, projects, group work etc. depending on the choice of optional units. 
Methods of Assessment  
Written examination, assessed coursework, and in the third and fourth years, assessed projects, essays and seminars depending on the choice of optional unit. 
Programme Intended Learning Outcomes  Learning and Teaching Methods 


Lectures supported by weekly assignments of mathematical exercises which are marked and returned to students. See also the learning/teaching methods above under Knowledge and Understanding. 
Methods of Assessment  
As in Knowledge and Understanding. 
Programme Intended Learning Outcomes  Learning and Teaching Methods 


As above plus computational assignments and project work in mathematics, and units taken outside mathematics. 
Methods of Assessment  
As above plus assessed computational assignments (which assess ability to use mathematical software) and project work in mathematics (where IT and communication skills are assessed as well as intellectual capacity). 
Statement of expectations from the students at each level of the programme as it/they develop year on year.
Level C/4  Certificate 
Mastery of basic mathematical skills, and an understanding of rigorous mathematics. The capacity to take different approaches to solving problems, and to communicate accurately. 

Level I/5  Intermediate 
Understanding of abstract mathematical structures and/or (depending on choice of options) more advanced techniques; broadening and/or deepening of mathematical understanding. The capacity to evaluate the appropriateness of different approaches to solving problems. 
Level H/6  Honours 
Confidence in handling deeper or more complex mathematical structures, and in critically analysing mathematical arguments; initiative in finding information and selfdirected learning.Analytical techniques and problemsolving skills that can be applied in many types of employment. The capacity to evaluate evidence, arguments and assumptions, to reach sound judgements, and to communicate effectively. 
Level M/7  Masters 
Mastery of some areas of mathematics at a level approaching the current research literature; capacity for original work in mathematics, either new research or a new synthesis of existing knowledge.The capacity to deal with complex issues both systematically and creatively, and to show originality in tackling and solving problems. 
The intended learning outcome mapping document shows which mandatory units contribute towards each programme intended learning outcome.
For information on the admissions requirements for this programme please see details in the undergraduate prospectus at http://www.bristol.ac.uk/prospectus/undergraduate/ or contact the relevant academic department.
UG Workload Statement
Success as an undergraduate student depends on you being able to make the transition to selfmotivated, independent learning. Programmes are designed to assist you in this development, in many cases by starting with units in which timetabled teaching, such as lectures and practical classes, provides the foundations of knowledge and skills in a subject, moving on to individual researchbased work. Over time you will be expected to take increasing responsibility for your own learning, guided by the feedback on your work that you will receive. At the heart of your studies at every level there must be regular and disciplined individual reading, reflection and writing and it is this skill of independent studies, above all others, that will serve you best when you leave the University.
Most programmes use credits and a 20 credit unit broadly equates to about 200 hours of student input. This includes all activities related to the teaching, learning and assessment of taught units.
A component of this is the time that you spend in class, in contact with the teaching staff, which includes activities such as lectures, laboratories, tutorials and fieldwork. Some of this activity may be online and could consist of activity that is synchronous (using realtime environments such as Blackboard Collaborate) or asynchronous (using tools such as tutor moderated discussion forums, blogs or wikis).
In some programmes there are field courses and/or placements that will take place in concentrated periods of time.
Outside scheduled activities you are expected to pursue your own independent learning to build your knowledge and understanding of the subjects you are studying. Such independent activities include, reviewing lecture material, reading textbooks, working on examples sheets, completing coursework, writing up laboratory notes, preparing for inclass progress tests and revising for examinations.
We recognise that many students undertake paid employment. To achieve a sensible balance between work and study, you are advised to undertake paid work for no more than 15 hours per week in termtime.
Professional Programmes
Many undergraduates in the Faculty of Health Sciences will be following the professional programmes of:
For these professional programmes, full time attendance is compulsory unless absence is formally approved. Academic activities are timetabled throughout the 5day week and student workload is around 40 hours per week on average. Where possible, students in the early years are permitted Wednesday afternoons for sport and extracurriculum activities. This may not be available in later years of professional programmes as when a student progresses through the curricula there is an increasing exposure to clinical and professional activities. Students in clinic or on placements may need to stay later than core times of 08.00 – 18.00 or even overnight to observe outofhours activities. This increasing exposure to clinical activities means that students on these professional programmes often have longer term dates than the University standard. Individual years within programmes are likely to vary in length (for example because of the timings of placements) and further information on this will be found in individual programme regulations. Another important point to note is that many of the assessments sit outside of the standard University examination timetable and are likely to be more frequent meaning that students will more oftentimes be engaged in revision activities and selfdirected learning.
Faculty of Health Sciences
Faculty Assessment and Feedback Statement for Undergraduate Students. University of Bristol access only.
In addition to the programme in this specification, there is a BSc with Statistics, two single honours programmes, two programmes with a year of study in Europe, and joint programmes in Mathematics and one of the following: Biology, Computer Science, Economics, Philosophy, Physics. The programmes are designed for maximum flexibility: Joint students can transfer into single honours programmes at the end of the first year, as can students on the European study programme.
Dr. C. Dettmann, Department of Mathematics.
This integrated Masters programme has been designated as type II: Specialised or Advanced Masters in accordance with the QAA Degree Characteristics Statement. Please see the Regulations and Code of Practice for Taught Programmes for further information on this type of programme.
MATH10015, MATH10011, MATH10012, MATH10013 are must pass units. For the definition of must pass units please see the Glossary of Terms from Annex 1 to the Regulations and Code of Practice for Taught Programmes at http://www.bristol.ac.uk/esu/assessment/annex/glossary.html
Unit Name  Unit Code  Credit Points  Status  

Analysis  MATH10011  20  Mandatory  TB4 
Introduction to Proofs and Group Theory  MATH10010  20  Mandatory  TB4 
Linear Algebra  MATH10015  20  Mandatory  TB4 
Mathematical Investigations  MATH10009  20  Mandatory  TB4 
ODEs, Curves and Dynamics  MATH10012  20  Mandatory  TB4 
Probability and Statistics  MATH10013  20  Mandatory  TB4 
Certificate of Higher Education  120 
This integrated Masters programme has been designated as type II: Specialised or Advanced Masters in accordance with the QAA Degree Characteristics Statement. Please see the Regulations and Code of Practice for Taught Programmes for further information on this type of programme.
MATH20008 and MATH20800 are must pass units.
For further information and a definition of must pass units please see the Glossary of Terms.
Unit Name  Unit Code  Credit Points  Status  

Probability 2  MATH20008  20  Mandatory  TB2 
Statistics 2  MATH20800  20  Mandatory  TB1 
Mathematical Programming  MATH20014  20  Mandatory  TB2 
Multivariable Calculus and Complex Functions  MATH20015  20  Mandatory  TB1 
Select at least 20cp from the following list:  
Algebra 2  MATH21800  20  Optional  TB2 
Applied Partial Differential Equations 2  MATH20402  20  Optional  TB2 
Introduction to Geometry  MATH20004  20  Optional  TB2 
Linear Algebra 2  MATH21100  20  Optional  TB1 
Mechanics 2  MATH21900  20  Optional  TB2 
Metric Spaces  MATH20006  20  Optional  TB1 
Ordinary Differential Equations 2  MATH20101  20  Optional  TB1 
Up to 20cp can be selected from Level C/4 or Level I/5 approved mathematics or nonmathematics units.  
Any Bristol Futures open unit  OPEN  20  Optional  
Any University Wide Language Programme unit  OPEN  20  Optional  
Nonopen units:  
Introduction to Accounting  ACCG10052  20  Optional  TB2 
Big Ideas in Science  CHEM10001  20  Optional  TB4 
Principles of Economics  EFIM10050  20  Optional  TB2 
World in Crisis?  GEOG16001  20  Optional  TB1 
Introduction to Social and Developmental Psychology  PSYC10012  20  Optional  TB1 
Introduction to Cognitive and Biological Psychology  PSYC10013  20  Optional  TB2 
Students transferring from jointhonours Mathematics programmes may also take up to 20cp of Level C/4 mathematics units, subject to the constraints of the teaching and examination timetables.  
Diploma of Higher Education  120 
This integrated Masters programme has been designated as type II: Specialised or Advanced Masters in accordance with the QAA Degree Characteristics Statement. Please see the Regulations and Code of Practice for Taught Programmes for further information on this type of programme.
Unit Name  Unit Code  Credit Points  Status  

Theory of Inference  MATH35600  20  Mandatory  TB2 
Select a mandatory Project unit in Statistics:  
Project  MATH32201  10  Optional  TB1 
Project 1  MATH32200  20  Optional  TB4 
Group Project Unit  MATH30009  20  Optional  TB4 
Select up to 90cp Mathematical units from the following list to total 100cp including the mandatory units above. Up to 20cp can be chosen from approved Mathematics units or nonmathematics units at least at Level I/5. No more than one unit per group:  
Group 1  
Financial Risk Management  MATH30014  20  Optional  TB1 
Metric Spaces  MATH20006  20  Optional  TB1 
Group 2  
Linear and Generalised Linear Models  MATH30013  20  Optional  TB1 
Fields, Forms and Flows  MATH30018  20  Optional  TB1 
Group 3  
Group Theory  MATH33300  20  Optional  TB1 
Martingale Theory with Applications 3  MATH30027  20  Optional  TB1 
Group 4  
Set Theory  MATH32000  20  Optional  TB1 
Time Series Analysis  MATH33800  20  Optional  TB1 
Statistics 2  MATH20800  20  Optional  TB1 
Quantum Information Theory  MATHM5610  10  Optional  TB1A 
Group 5  
Stochastic Optimisation  MATH30021  20  Optional  TB1 
Fluid Dynamics 3  MATH33200  20  Optional  TB1 
Measure Theory and Integration  MATH30007  20  Optional  TB1 
Linear Algebra 2  MATH21100  20  Optional  TB1 
Group 6  
Complex Function Theory  MATH33000  20  Optional  TB1 
Quantum Mechanics  MATH35500  20  Optional  TB1 
Complex Networks  MATH36201  20  Optional  TB1 
Group 7  
Topics in Modern Geometry 3  MATH30001  10  Optional  TB1A 
Information Theory 3  MATH34600  10  Optional  TB1A 
Group 8  
Calculus of Variations  MATH30005  10  Optional  TB1B 
Group 9  
Financial Mathematics  MATH35400  20  Optional  TB2 
Probability 2  MATH20008  20  Optional  TB2 
Group 10  
Galois Theory  MATHM2700  20  Optional  TB2 
Introduction to Geometry  MATH20004  20  Optional  TB2 
Numerical Analysis  MATH30029  20  Optional  TB2 
Group 11  
Further Topics In Probability 3  MATH30006  20  Optional  TB2 
Number Theory  MATH30200  20  Optional  TB2 
Statistical Mechanics  MATH34300  20  Optional  TB2 
Statistical Machine Learning  MATH30028  20  Optional  TB2 
Group 12  
Mechanics 2  MATH21900  20  Optional  TB2 
Mechanics 23  MATH31910  20  Optional  TB2 
Theory of Inference  MATH35600  20  Mandatory  TB2 
Functional Analysis 3  MATH36202  20  Optional  TB2 
Group 13  
Bayesian Modelling  MATH30015  20  Optional  TB2 
Logic  MATH30100  20  Optional  TB2 
Applied Partial Differential Equations 2  MATH20402  20  Optional  TB2 
Quantum Computation  MATHM0023  10  Optional  TB2C 
Group 14  
Algebra 2  MATH21800  20  Optional  TB2 
Optimisation  MATH30017  20  Optional  TB2 
Dynamical Systems and Ergodic Theory 3  MATH36206  20  Optional  TB2 
Group 15  
Topics in Discrete Mathematics 3  MATH30002  10  Optional  TB2C 
Multivariate Analysis  MATH30510  10  Optional  TB2C 
Random Matrix Theory  MATH30016  10  Optional  TB2C 
Group 16  
Modern Mathematical Biology  MATH30004  10  Optional  TB2D 
Group 17  
Perspectives in Mathematics  MATH30024  20  Optional  TB4 
Group 18  
External mathematics units. You may choose up to 40cp of the following external mathematics units:  
Nonlinear Dynamics and Chaos  EMAT33100  10  Optional  TB1 
Control Theory  EMAT30014  10  Optional  TB2 
Introduction to Artificial Intelligence  EMAT31530  20  Optional  TB4 
Nonmathematics units  
20cp can be chosen from approved nonmathematics units at least at Level 1/5  
BSc  120 
This integrated Masters programme has been designated as type II: Specialised or Advanced Masters in accordance with the QAA Degree Characteristics Statement. Please see the Regulations and Code of Practice for Taught Programmes for further information on this type of programme.
Unit Name  Unit Code  Credit Points  Status  

Choose a project  
Project  MATHM2200  20  Optional  TB4 
Project  MATHM2204  40  Optional  TB4 
Group Project Unit  MATHM0021  20  Optional  TB4 
Choose remaining units up to 120 credit points, from the following groups, with  
no more than 70 credit points in any teaching block  
and no more than one unit from each group.  
Group 1  
Anomaly Detection  MATHM0030  10  Optional  TB1B 
Advanced Fluid Dynamics  MATHM0600  20  Optional  TB1 
Axiomatic Set Theory  MATHM1300  20  Optional  TB1 
Group 2  
Fields, Forms and Flows  MATHM0033  20  Optional  TB1 
Algebraic Topology  MATHM1200  20  Optional  TB1 
Group 3  
Representation Theory  MATHM4600  20  Optional  TB1 
Martingale Theory with Applications 4  MATHM0045  20  Optional  TB1 
Group 4  
Quantum Chaos  MATHM5700  10  Optional  TB1B 
Group 5  
Geometry of Manifolds  MATHM0037  20  Optional  TB1 
Stochastic Optimisation  MATHM0044  20  Optional  TB1 
Group 6  
Complex Function Theory (34)  MATHM3000  20  Optional  TB1 
Complex Networks 4  MATHM6201  20  Optional  TB1 
Group 7  
Topics in Modern Geometry 34  MATHM0008  10  Optional  TB1A 
Quantum Information Theory  MATHM5610  10  Optional  TB1A 
Group 8  
Calculus of Variations  MATHM0015  10  Optional  TB1B 
Group 9  
Analytic Number Theory  MATHM0007  20  Optional  TB2 
Financial Mathematics 34  MATHM5400  20  Optional  TB2 
Group 10  
Galois Theory  MATHM2700  20  Optional  TB2 
Asymptotics  MATHM4700  20  Optional  TB2 
Monte Carlo Methods  MATHM6001  10  Optional  TB2C 
Group 11  
Further Topics In Probability 4  MATHM0018  20  Optional  TB2 
Statistical Mechanics 34  MATHM4500  20  Optional  TB2 
Algebraic Number Theory 4  MATHM6205  20  Optional  TB2 
Group 12  
Theory of Inference 4  MATHM0019  20  Optional  TB2 
Functional Analysis 34  MATHM6202  20  Optional  TB2 
Group 13  
Advanced Topics in Analysis  MATHM0020  20  Optional  TB2 
Algebraic Geometry  MATHM0036  20  Optional  TB2 
Quantum Computation  MATHM0023  10  Optional  TB2C 
Group 14  
Dynamical Systems and Ergodic Theory 4  MATHM6206  20  Optional  TB2 
Group 15  
Topics in Discrete Mathematics 34  MATHM0009  10  Optional  TB2C 
Advanced Quantum Theory  MATHM0013  10  Optional  TB2C 
Multivariate Analysis 34  MATHM0510  10  Optional  TB2C 
Group 16  
Modern Mathematical Biology  MATHM0014  10  Optional  TB2D 
External mathematics units  
You may choose up to 40cp of the following external mathematics units  
Advanced Cryptology  COMSM0040  10  Optional  TB1 
Advanced Cryptology (Teaching Unit)  COMSM0042  0  Optional  TB1 
Mathematics of Movement  EMATM0064  10  Optional  TB1 
Advanced Nonlinear Dynamics and Chaos  EMATM0001  10  Optional  TB2 
Computational Genomics and Bioinformatics Algorithms  EMATM0004  10  Optional  TB2 
General Relativity and Cosmology  PHYSM1900  10  Optional  TB2D 
Advanced Quantum Physics  PHYSM3416  10  Optional  TB1A 
Relativistic Field Theory  PHYSM3417  10  Optional  TB2C 
Mathematics with Statistics (MSci)  120 
Unit Pass Mark for Undergraduate Programmes:
For details on the weightings for classifying undergraduate degrees, please see the Agreed Weightings, by Faculty, to be applied for the Purposes of Calculating the Final Programme Mark and Degree Classification in Undergraduate Programmes.
For detailed rules on progression please see the Regulations and Code of Practice for Taught Programmes and the relevant faculty handbook.
Please refer to the specific progression/award requirements for programmes with a preliminary year of study, the Gateway programmes and International Foundation programmes.
All undergraduate degree programmes allow the opportunity for a student to exit from a programme with a Diploma or Certificate of Higher Education.
Integrated Master's degrees may also allow the opportunity for a student to exit from the programme with an equivalent Bachelor's degree where a student has achieved 360 credit points, of which 90 must be at level 6, and has successfully met any additional criteria as described in the programme specification.
The opportunities for a student to exit from one of the professional programmes in Veterinary Science, Medicine, and Dentistry with an Award is outlined in the relevant Programme Regulations (which are available as an annex in the Regulations and Code of Practice for Taught Programmes).
An Ordinary degree can be awarded if a student has successfully completed at least 300 credits with a minimum of 60 credits at Level 6.
The pass mark for the professional programmes in Veterinary Science, Medicine and Dentistry is 50 out of 100. The classification of a degree in the professional programmes in Veterinary Science, Medicine, and Dentistry is provided in the Regulations and Code of Practice for Taught Programmes.
The MSci in Mathematics with Statistics requires at least 160cp of statistics units at levels I/5, H/6 or M/7, including a Mathematics project unit on a statistics topic at Level M/7 worth at least 20cp.
University of Bristol,
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Bristol, BS8 1TH, UK
Tel: +44 (0)117 928 9000