BSc Mathematics (Single Honours)

Annual Intake

30

Course Title

Single Honours Mathematics

Lab Classes

24

Lecture Hours

24

Tutorials

24

Course Information

The Single Honours course in Mathematics provides an opportunity for breadth of study that more traditional Single Honours Mathematics courses do not allow. In particular, it has a high content of statistics and operational research, the quantitative analysis of decision-making, and experience of these fields enriches and widens mathematical study significantly. Whilst providing a firm foundation in pure mathematics, applied mathematics and statistics, the course has a strong element of flexibility; for example, in the final year it is possible for students to concentrate in any of these areas.

Course Outline

Year 1

The first year of study caters for the diverse range of backgrounds that students will have on entry. It does not assume any specific knowledge of either Statistics or Mechanics. It consolidates core A-level material as well as introducing more advanced mathematical methods and ideas, and thereby provides a foundation for further years of study. All students study eight modules, four in each semester.

The mathematical methods modules continue to develop the type of mathematics studied at Alevel. Most of Mathematical Methods I is devoted to differential and integral calculus, backed up by the computer based Fundamental Techniques module, whereas Mathematical Methods II covers vector and matrix techniques. Foundations of Analysis adds a new level of sophistication and rigour; it is an essential prerequisite for all higher mathematics and is supported by a module exploring a variety of topics in pure mathematics. Introduction to Dynamics gives an exposure to mathematical modelling through the study of classical dynamics, and Probability and Operational Research develops the analysis of random events and organisational problems.

Innovative aspects of our programme are the modules on mathematical and statistical software and the computer based Fundamental Techniques module. These recognise the impact of developments in Information Technology on the teaching, learning and application of mathematics and statistics. An undergraduate computing laboratory supports this and other modules, and students are encouraged to use the facilities throughout their undergraduate programme.

Year 2

In the second year of study each student takes eight modules, four in each semester, from the list shown. The modules cover fundamental areas of pure mathematics, mathematical methods, statistics and operational research.

Year 3

Students take eight modules, four in each semester, from the list shown. The modules offered reflect the research strengths of Mathematics. One of the final year modules may be a project, supervised by a member of staff, in which a student can explore a body of theory in depth, or work on an applied problem, or analyse a large data set using advanced statistical techniques.

First Year Modules

Probability and Operational Research
Introduction to Mathematical Software
Introduction to data analysis and statistical software
Mathematical Methods I
Mathematical Methods II
Foundations of analysis
Introduction to dynamics
Topics in Pure Mathematics

Second Year Modules

Statistical Inference
Operational Research II
Complex Variable I and Vector Calculus
Stochastic Processes
Linear Statistics Models
Differential Equations
Analysis and Abstract Algebra
Linear and metric spaces
Numerical Analysis

Third Year Modules

Graph Theory
Non-linear Differential Equations
Partial Differential Equations
Fluid Mechanics
Relativity
Logic
Statistical Inference II
Mathematical Programming
Discrete Mathematics
Complex Variable II
Waves
Group Theory
Medical Statistics
Project II
Applied Time Series Analysis
Numerical Analysis