**Stream Leader**

- Dr Emma Simpson: emma.simpson@ucl.ac.uk (Primary Stream Leader + Statistics)
- Dr Cecilia Busuioc: cecilia.busuioc@ucl.ac.uk (Support Stream Leader + Mathematics)

**Aims**

While other stream contain some courses in mathematics the Mathematics and Statistics stream offers students the opportunity to give a mathematical flavour to other streams and provides a solid training in quantitative, analytical and computational techniques in their own right. The skills acquired are generic and complement those provided by other streams in the Natural Sciences programme.

The curriculum focuses on topics that can be applied to a wide variety of scientific disciplines. The mathematics component is concerned with a range of mathematical methods with common applicability in applied mathematics; the statistics component is concerned with the collection and analysis of data to answer questions of substantive interest in the presence of uncertainty. Both play a fundamental role in the interpretation of information throughout the natural sciences and beyond.

**Objectives**

Students who complete this stream will gain:

- a sound basis in methods of applied mathematics: differential equations, techniques using complex variables, linear algebra
- an understanding of basic mathematical modelling and problem solving techniques in the field of continuous systems
- skill in the use of a symbolic mathematical computing package for solving problems and mathematical modelling
- an understanding of probability theory and its application to real-world problems
- the ability to use standard techniques to summarise the main features of a set of data, along with basic methods of statistical inference and significance testing in a variety of standard situations
- an understanding of statistical models to answer questions of substantive interest in the presence of uncertainty

- Year 1
All Mathematics and Statistics stream students must take:

- Year 2
Combinations with Physics stream:

Students must take:

- Programming for Scientists (NSCI0036)
- Mathematical Methods III (PHAS0025)
- Regression Modelling (STAT0006)

and may choose 0 - 15 credits of:

Combinations with Physical Chemistry stream:

Students must take:

and should choose 15 - 30 credits from:

All other combinations:

Students must take:

and should choose 15 - 30 credits from:

- Probability and Statistics II (STAT0005)
- Mathematical Methods III (PHAS0025)
- Discrete Mathematics (MATH0103)

- Year 3
Combinations with Physics stream:

Students must take:

and may choose 0 - 30 credits from:

- Probability and Statistics II (STAT0005)*
- Stochastic Processes (STAT0007)
- Decision and Risk (STAT0011)
- Optimisation Algorithms in Operational Research (STAT0025)
- Biomathematics (MATH0026)
- Mathematical Ecology (MATH0030)
- Financial Mathematics (MATH0031)
- History of Mathematics (MATH0038)
- Mathematics for Physics and Astronomy (MATH0043)

Combinations with Physical Chemistry stream:

Students must take:

and may choose 0 - 30 credits from:

- Probability and Statistics II (STAT0005)
- Stochastic Processes (STAT0007)
- Decision and Risk (STAT0011)
- Optimisation Algorithms in Operational Research (STAT0025)
- Biomathematics (MATH0026)
- Mathematical Ecology (MATH0030)
- History of Mathematics (MATH0038)

All other combinations:

Students must take:

and may choose 0 - 30 credits from:

- Probability and Statistics II (STAT0005)
- Stochastic Processes (STAT0007)
- Decision and Risk (STAT0011)
- Medical Statistics 1 (STAT0014)
- Optimisation Algorithms in Operational Research (STAT0025)
- Biomathematics (MATH0026)
- Mathematical Ecology (MATH0030)
- History of Mathematics (MATH0038)

* if not already taken in year 2.

The Mathematics and Statistics stream is **only** available as a minor stream and combines with:

- Physical Chemistry
- Geosciences
- Biomedical Sciences
- Genetics, Evolution and Environment
- Molecular and Cell Biology
- Neuroscience and Psychology
- Physics