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Programme code | 2MATH004U |
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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/) 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 (2023) (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, problem-solving, 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.
Programme Intended Learning Outcomes | Learning and Teaching Methods |
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Strong support in the first year, more independence encouraged in later years. First year based on lectures supported by three small-group 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 |
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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 |
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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. |
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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 self-directed learning.Analytical techniques and problem-solving 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.
The Faculty of Science expects a minimum work input by its undergraduates of 40 hours per week for every week of the academic year. The 40 hours is made up of a portfolio of different components. The balance between these components varies slightly from programme to programme reflecting the varying academic demands of different subject areas.
Lectures, practical work, tutorials, seminars and required coursework and homework for may take up around 20 hours per week. While this volume of formal teaching is common in the early years of programmes, in later years there is more self directed learning and the opportunity to carry out supervised research work. In total the formal teaching and the students learning should amount to the 40 hours a week mentioned.
The Faculty of Science requires students to do some academic work in the periods between the terms, both required work and that which reflects their interest in, and commitment to their programmes of study.
School of Mathematics Administration Team – math-info@bristol.ac.uk
This Integrated Master's programme has been designated as type II: Advanced Study in accordance with the QAA descriptors for Master's programmes. Please see the Regulations and Code of Practice for Taught Programmes for further information on this type of programme.
All Year 1 (C/4) honours units of this programme are must pass. 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 | |
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Linear Algebra and Geometry | MATH11005 | 20 | Mandatory | TB-4 |
Calculus 1 | MATH11007 | 20 | Mandatory | TB-4 |
Mechanics 1 | MATH11009 | 10 | Mandatory | TB-2 |
Computational Mathematics | MATH12001 | 10 | Mandatory | TB-1 |
Statistics 1 | MATH11400 | 10 | Mandatory | TB-2 |
Probability 1 | MATH11300 | 10 | Mandatory | TB-1 |
Analysis 1A | MATH10003 | 10 | Mandatory | TB-1 |
Analysis 1B | MATH10006 | 10 | Mandatory | TB-2 |
Foundations & Proof | MATH10004 | 10 | Mandatory | TB-1 |
Introduction to Group Theory | MATH10005 | 10 | Mandatory | TB-2 |
Certificate of Higher Education | 120 |
This Integrated Master's programme has been designated as type II: Advanced Study in accordance with the QAA descriptors for Master's programmes. 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 | |
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Level I/5 units in Mathematics totalling 80cp chosen from the following list: | ||||
Ordinary Differential Equations 2 | MATH20101 | 20 | Optional | TB-1 |
Applied Partial Differential Equations 2 | MATH20402 | 20 | Optional | TB-2 |
Optimisation 2 | MATH20600 | 20 | Optional | TB-2 |
Statistics 2 | MATH20800 | 20 | Optional | TB-1 |
Multivariable Calculus | MATH20901 | 10 | Optional | TB-1A |
Linear Algebra 2 | MATH21100 | 20 | Optional | TB-1 |
Probability 2 | MATH20008 | 20 | Optional | TB-2 |
Algebra 2 | MATH21800 | 20 | Optional | TB-2 |
Mechanics 2 | MATH21900 | 20 | Optional | TB-2 |
Methods of Complex Functions | MATH20001 | 10 | Optional | TB-1B |
Combinatorics | MATH20002 | 20 | Optional | TB-1 |
Introduction to Geometry | MATH20004 | 20 | Optional | TB-2 |
Communication, Careers & Enterprise in Mathematics | MATH20005 | 10 | Optional | TB-4 |
Metric Spaces | MATH20006 | 20 | Optional | TB-1 |
Further units totalling 40cp, including at least 20cp at Level I/5. These may include further units from the from the list of Level I/5 units in Mathematics above, or Level C/4 Mathematics units if not all the units listed under Stage 1 were taken in the first year. | ||||
Diploma of Higher Education | 120 |
This Integrated Master's programme has been designated as type II: Advanced Study in accordance with the QAA descriptors for Master's programmes. 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 | |
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Level H/6 units in Mathematics totalling 40cp chosen from the following list: | ||||
Logic | MATH30100 | 20 | Optional | TB-2 |
Number Theory | MATH30200 | 20 | Optional | TB-2 |
Multivariate Analysis | MATH30510 | 10 | Optional | TB-2C |
Mathematical Methods | MATH30800 | 20 | Optional | TB-2 |
Mechanics 23 | MATH31910 | 20 | Optional | TB-2 |
Set Theory | MATH32000 | 20 | Optional | TB-1 |
Project 1 | MATH32200 | 20 | Optional | TB-4 |
Project | MATH32201 | 10 | Optional | TB-4 |
Project | MATH32206 | 40 | Optional | TB-4 |
Differentiable Manifolds | MATH32900 | 20 | Optional | TB-1 |
Complex Function Theory | MATH33000 | 20 | Optional | TB-1 |
Fluid Dynamics 3 | MATH33200 | 20 | Optional | TB-1 |
Group Theory | MATH33300 | 20 | Optional | TB-1 |
Time Series Analysis | MATH33800 | 20 | Optional | TB-1 |
Statistical Mechanics | MATH34300 | 20 | Optional | TB-2 |
Information Theory 3 | MATH34600 | 10 | Optional | TB-1B |
Linear Models | MATH35110 | 10 | Optional | TB-1A |
Financial Mathematics | MATH35400 | 20 | Optional | TB-2 |
Quantum Mechanics | MATH35500 | 20 | Optional | TB-1 |
Theory of Inference | MATH35600 | 20 | Optional | TB-2 |
Introduction to Queueing Networks | MATH35800 | 10 | Optional | TB-1B |
Mathematics in Schools | MATH35900 | 10 | Optional | TB-4 |
Complex Networks | MATH36201 | 20 | Optional | TB-2 |
Functional Analysis 3 | MATH36202 | 20 | Optional | TB-2 |
Martingale Theory with Applications 3 | MATH36204 | 10 | Optional | TB-1A |
Dynamical Systems and Ergodic Theory 3 | MATH36206 | 20 | Optional | TB-1 |
Topics in Modern Geometry 3 | MATH30001 | 10 | Optional | TB-1A |
Topics in Discrete Mathematics 3 | MATH30002 | 10 | Optional | TB-2C |
Measure Theory and Integration | MATH30007 | 20 | Optional | TB-1 |
Calculus of Variations | MATH30005 | 10 | Optional | TB-2D |
Further Topics In Probability 3 | MATH30006 | 20 | Optional | TB-2 |
Modern Mathematical Biology | MATH30004 | 10 | Optional | TB-1A |
Linear and Generalised Linear Models | MATH30013 | 20 | Optional | TB-1 |
Bayesian Modelling | MATH30015 | 20 | Optional | TB-2 |
Financial Risk Management | MATH30014 | 20 | Optional | TB-1 |
Level H/6 Mathematical units totalling 40cp, normally chosen from the list of Level H/6 units in Mathematics above but may be chosen from other Level H/6 Mathematical units with the agreement of the Programme Director. | ||||
Further units totalling 40cp, including at least 20cp at Level H/6. These units may include further units chosen from the list of Level H/6 units in Mathematics above. | ||||
BSc | 120 |
This Integrated Master's programme has been designated as type II: Advanced Study in accordance with the QAA descriptors for Master's programmes. 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 | |
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Level M/7 units in Mathematics totalling 80cp chosen from the following list and including one from the list of projects: | ||||
One of the following: | ||||
Project | MATHM2200 | 20 | Optional | TB-4 |
Project | MATHM2204 | 40 | Optional | TB-4 |
Analytic Number Theory | MATHM0007 | 20 | Optional | TB-2 |
Modern Mathematical Biology | MATHM0014 | 10 | Optional | TB-1A |
Multivariate Analysis 34 | MATHM0510 | 10 | Optional | TB-2C |
Advanced Fluid Dynamics | MATHM0600 | 20 | Optional | TB-1 |
Algebraic Topology | MATHM1200 | 20 | Optional | TB-1 |
Axiomatic Set Theory | MATHM1300 | 20 | Optional | TB-1 |
Galois Theory | MATHM2700 | 20 | Optional | TB-2 |
Complex Function Theory (34) | MATHM3000 | 20 | Optional | TB-1 |
Statistical Mechanics 34 | MATHM4500 | 20 | Optional | TB-2 |
Representation Theory | MATHM4600 | 20 | Optional | TB-1 |
Asymptotics | MATHM4700 | 20 | Optional | TB-2 |
Financial Mathematics 34 | MATHM5400 | 20 | Optional | TB-2 |
Quantum Information Theory | MATHM5610 | 10 | Optional | TB-1A |
Quantum Chaos | MATHM5700 | 10 | Optional | TB-1B |
Monte Carlo Methods | MATHM6001 | 10 | Optional | TB-1B |
Stochastic Optimisation | MATHM6005 | 10 | Optional | TB-2D |
Complex Networks 4 | MATHM6201 | 20 | Optional | TB-1 |
Functional Analysis 34 | MATHM6202 | 20 | Optional | TB-2 |
Martingale Theory with Applications 4 | MATHM6204 | 10 | Optional | TB-1 |
Dynamical Systems and Ergodic Theory 4 | MATHM6206 | 20 | Optional | TB-2 |
Algebraic Number Theory 4 | MATHM6205 | 20 | Optional | TB-2 |
Topics in Modern Geometry 34 | MATHM0008 | 10 | Optional | TB-1A |
Topics in Discrete Mathematics 34 | MATHM0009 | 10 | Optional | TB-2C |
Lie groups, Lie algebras and their representations | MATHM0012 | 10 | Optional | TB-1A |
Advanced Quantum Theory | MATHM0013 | 10 | Optional | TB-2C |
Advanced Topics in Analysis | MATHM0020 | 20 | Optional | TB-2 |
Group Project Unit | MATHM0021 | 20 | Optional | TB-4 |
Calculus of Variations | MATHM0015 | 10 | Optional | TB-2D |
Further Topics In Probability 4 | MATHM0018 | 20 | Optional | TB-2 |
Modern Mathematical Biology | MATHM0014 | 10 | Optional | TB-1A |
Quantum Computation | MATHM0023 | 10 | Optional | TB-2C |
Financial Time Series | MATHM0025 | 10 | Optional | TB-2D |
Anomaly Detection | MATHM0030 | 10 | Optional | TB-1B |
Introduction to Stochastic Analysis | MATHM0032 | 20 | Optional | TB-1 |
Further Level M/7 units totalling 40cp. These must include at least 20cp of Level M/7 Mathematical units, normally chosen from the list of Level M/7 units in Mathematics above but may be chosen from other Level M/7 Mathematical units as listed in the unit choice handbook. | ||||
Mathematics (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 requires a Level M/7 Mathematics project unit of at least 20cp.
Please note: This specification provides a concise summary of the main features of the programme and the learning outcomes that a typical student might reasonably be expected to achieve and demonstrate if he/she takes full advantage of the learning opportunities that are provided.
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