**Stream Representative**

- Dr Katerina Stavrianaki : k.stavrianaki@ucl.ac.uk (Statistics)
- Dr Robert Bowles: r.bowles@ucl.ac.uk (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:

If students are combining the stream with a Physical Science stream, they must pick:

- Mathematical Methods 2

and for those combining the stream with a Life Science stream, they must pick:

- Mathematics for Science 2

- Year 2
All Mathematics and Statistics stream students must take:

- Linear Models and the Analysis of Variance
- Computing for Mathematical Physics (An introduction to computing in Mathematica)

If students are combining the stream with a Physical Science stream, they must pick:

- Mathematical Methods 3

and for those combining the stream with a Life Science stream, they must pick:

Students can also pick an elective in:

- Mathematics for Physics and Astronomy
- Mathematical Methods in Chemistry
- Advanced Linear Algebra
- Mathematical Analysis

- Year 3
All Mathematics and Statistics stream students must take:

- Topics in Scientific Computing
- Probability and Statistics II
- Medical Statistics I
- Stochastic Processes
- Mathematics for physics and astronomy (I)

If students are combining the stream with a Physical Science stream, they must pick:

- Mathematical Methods 2

and for those combining the stream with a Life Science stream, they must pick:

- Mathematics for Science 2

Students can also pick an elective in Mathematics modules:

- Biomathematics
- Mathematical Ecology
- Financial Mathematics
- Mathematical Methods 4
- Mathematical Methods 5
- An Introduction to Mathematica
- History of Mathematics
- Logic (for non-mathematicians)
- Evolutionary Games and Population Genetics
- Graph Theory and Combinatorics

or in Statistics modules:

- Statistical Inference
- Forecasting
- Decision and Risk
- Factorial Experimentation
- Social Statistics
- Optimisation Algorithms in Operational Research

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

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