# Mathematics study guide 2022/23

## Mathematics at Bristol

We provide a range of high quality teaching programmes. Our graduates go on to work in a wide variety of jobs in financial services, government statistical and security services, engineering and management consultancy, IT, accountancy, teaching and also in areas such as law, community work, sports coaching, civil service and filmmaking. All our academic staff are active in research, and we are one of the strongest mathematics schools in Europe in terms of research, as well as one of the top 5 mathematics departments in the UK (REF 2014). Our research is divided into five institutes: Applied Mathematics, Pure Mathematics, Mathematical Physics, Statistical Science and Probability, Analysis and Dynamics. We work with colleagues across philosophy and social sciences to physics, biology and medicine and collaborate with industry through both short and long-term research consultancies. Recent examples include Hewlett Packard, QinetiQ, LV, the Office for National Statistics and GSK.

### Unit structure

The school offers many classes that are based in a single semester, and can therefore accept unit requests from Study Abroad students who want to join Bristol for just the autumn or spring semester.

### Unit levels

The school offers units across all undergraduate levels of study – Year 1 (Level C/4), Year 2 (Level I/5), and Year 3 (Level H/6) – and selected postgraduate units (Level M/7). Level M/7 units are normally taken by students who have studied the subject for at least 3 years beforehand and are at an appropriate level of study to take postgraduate units.

## Unit codes

Unit codes in the School of Mathematics begin with 'MATH'. This is followed by a number indicating the year (1, 2, 3). For example:

- MATH10000 = year 1 unit
- MATH20000 = year 2 unit
- MATH30000 = year 3 unit.

For more information about each unit, check the University's unit catalogue for 2022/23. Applicants on all study abroad programmes must review the unit details on the catalogue before listing unit choices on their application form. This includes checking the format of assessment for each unit. The unit catalogue for 2022/23 is updated by April.

Your unit choices cannot be guaranteed. Some units may not have capacity to accommodate all of the unit requests we receive. Registration on a unit also depends on whether you meet the pre-requisite conditions through prior study at your home university.

### Study Abroad (Subject pathway)

If you have been nominated to Bristol on the Study Abroad (Subject pathway), you must take the majority of your credits in this department.

### Units available on the study abroad programme in 2022/23

The following units from the School of Mathematics are open to incoming Study Abroad students.

#### Year 1 (level C/4)

- Algorithms and Programming in C(++) and R (TB4) - MATH10017
- Analysis (TB4) - MATH10011
- Introduction to Proofs and Group Theory (TB4) - MATH10010
- Linear Algebra (TB4) - MATH10015
- Mathematical Investigations (TB4) - MATH10009
- Mathematical Tools for Data Science (TB4) - MATH10018
- Matrix Algebra and Linear Models (TB4) - MATH10016
- ODEs, Curves and Dynamics (TB4) - MATH10012
- Probability and Statistics (TB4) - MATH10013

#### Year 2 (level I/5)

- Advanced Linear Modelling and Classification (TB4) - MATH20016
- Algebra 2 (TB2) - MATH21800
- Algorithms and Machine Learning (TB1) - MATH20017
- Applied Partial Differential Equations 2 (TB2) - MATH20402
- Introduction to Geometry (TB2) - MATH20004
- Linear Algebra 2 (TB1) - MATH21100
- Mathematical Programming (TB2) - MATH20014
- Mechanics 2 (TB2) - MATH21900
- Metric Spaces (TB1) - MATH20006
- Multivariable Calculus and Complex Functions (TB1) - MATH20015
- Ordinary Differential Equations 2 (TB1) - MATH20101
- Perspectives in Data Science (TB4) - MATH20018
- Probability 2 (TB2) - MATH20008
- Statistics 2 (TB1) - MATH20800

#### Year 3 (level H/6)

- Bayesian Modelling (TB2) - MATH30015
- Calculus of Variations 3 (TB1B) - MATH30005
- Complex Function Theory 3 (TB1) - MATH33000
- Complex Networks (TB1) - MATH36201
- Dynamical Systems and Ergodic Theory 3 (TB2) - MATH36206
- Fields, Forms and Flows (TB1) - MATH30018
- Financial Mathematics 3 (TB2) - MATH35400
- Financial Risk Management (TB1) - MATH30014
- Fluid Dynamics (TB1) - MATH33200
- Functional Analysis 3 (TB2) - MATH36202
- Further Topics in Probability (TB2) - MATH30006
- Group Theory (TB1) - MATH33300
- Information Theory (TB1A) - MATH34600
- Linear and Generalised Linear Models (TB1) - MATH30013
- Logic (TB2) - MATH30100
- Martingale Theory with Applications 3 (TB1) - MATH30027
- Mathematical Methods (TB2) - MATH30800
- Measure Theory and Integration (TB1) - MATH30007
- Modern Mathematical Biology 3 (TB2D) - MATH30004
- Multivariate Analysis 3 (TB2C) - MATH30510
- Numerical Analysis (TB2) - MATH30029
- Number Theory (TB2) - MATH30200
- Optimisation (TB2) - MATH30017
- Perspectives in Mathematics (TB4) - MATH30024
- Quantum Mechanics (TB1) - MATH35500
- Random Matrix Theory (TB2C) - MATH30016
- Set Theory (TB1) - MATH32000
- Statistical Machine Learning (TB2) - MATH30028
- Statistical Mechanics 3 (TB2) - MATH34300
- Stochastic Optimisation (TB1) - MATH30021
- Theory of Inference 3 (TB2) - MATH35600
- Time Series Analysis (TB1) - MATH33800
- Topics in Discrete Mathematics 3 (TB2C) - MATH30002
- Topics in Modern Geometry 3 (TB1A) - MATH30001

#### Year 4 (level M/7)

- Advanced Fluid Dynamics (TB1) - MATHM0600
- Advanced Quantum Theory (TB2C) - MATHM0013
- Advanced Topics in Analysis (TB2) - MATHM0020
- Algebraic Geometry (TB2) - MATHM0036
- Algebraic Number Theory (TB2) - MATHM6205
- Algebraic Topology (TB1) - MATHM1200
- Analytic Number Theory (TB2) - MATHM0007
- Anomaly Detection (TB1B) - MATHM0030
- Asymptotics (TB2) - MATHM4700
- Axiomatic Set Theory (TB1) - MATHM1300
- Calculus of Variations 34 (TB1B) - MATHM0015
- Complex Function Theory 34 (TB1) - MATHM3000
- Complex Networks 4 (TB1) - MATHM6201
- Data Science Toolbox (TB4) - MATHM0029
- Dynamical Systems and Ergodic Theory 34 (TB2) - MATHM6206
- Fields, Forms and Flows (TB1) - MATHM0033
- Financial Mathematics 34 (TB2) - MATHM5400
- Further Topics in Probability (TB2) - MATHM0018
- Functional Analysis 34 (TB2) - MATHM6202
- Galois Theory (TB2) - MATHM2700
- Geometry of Manifolds (TB1) - MATHM0037
- Martingale Theory with Applications 4 (TB1) - MATHM0045
- Modern Mathematical Biology 34 (TB2D) - MATHM0014
- Monte Carlo Methods (TB2C) - MATHM6001
- Multivariate Analysis 34 (TB2C) - MATHM0510
- Quantum Chaos (TB1B) - MATHM5700
- Quantum Computation (TB2C) - MATHM0023
- Quantum Information Theory (TB1A) - MATHM5610
- Representation Theory (TB1) - MATHM4600
- Statistical Mechanics 34 (TB2) - MATHM4500
- Stochastic Optimisation (TB1) - MATHM0044
- Theory of Inference 34 (TB2) - MATHM0019
- Topics in Discrete Mathematics 34 (TB2C) - MATHM0009
- Topics in Modern Geometry 34 (TB1A) - MATHM0008

## Application queries

Contact the Global Opportunities Team if you have any queries about the application process for the study abroad programmes:

**Phone:** +44 117 39 40207**Email:** global-opportunities@bristol.ac.uk

## Auditing

Students cannot audit units. Study abroad students are fully registered on units for credit purposes and must attend teaching only for classes that they are registered on.