BSc Mathematics (Dual Honours)
Annual Intake
30
Course Title
Dual Honours Mathematics
Lab Classes
24
Lecture Hours
24
Tutorials
24
Course Information
Mathematics, including applied, pure and statistics, is central to the sophisticated society in which we live. Topics as diverse as the epidemiology of AIDS, stock market analysis, atmospheric pollution, tumour growth, weather forecasting, satellite communication, noise pollution, blood flow in arteries, advanced computer architecture, and heart attacks are examples of contemporary subjects which have benefited from analysis and understanding provided by mathematicians and statisticians.
Students may be more comfortable with the applicability of mathematics in technology, business and medicine, or with the logic and rigour of pure mathematics, or the techniques of data handling and analysis. In our programmes we therefore aim to provide the flexibility and choice which capture individual interests and cater for preferences.
Course Outline
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. It thereby provides the foundation for further years of study. All students study five modules.
The mathematical methods modules continue to develop the type of mathematics studied at A-level. Most of Mathematical Methods I is devoted to calculus (differentiation and integration), backed up by the computer based Fundamental Techniques module, whereas Mathematical Methods II introduces material on vector and matrix methods. Foundations of Analysis adds a new level of sophistication and rigour. It is an essential foundation for all higher mathematics. Probability and Operational Research develops the analysis of random events and organisational methods.
An innovative aspect of our programme are the modules on mathematical software and the computer based Fundamental Techniques module. The modules recognise the profound impact of developments in Information Technology on the teaching, learning and application of Mathematics. 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 must choose four modules, two to be studied in each semester. Mathematics students have the opportunity in their second semester to choose an option in one of the areas of pure or applied mathematics or statistics.
Year 3
Students take four modules, two in each semester. The modules offered reflect the research strengths of Mathematics and many are delivered by members of staff who have international reputations in that particular branch of Mathematics or Statistics.
First Year Modules
Probability and Operational Research
Introduction to Mathematical Software
Mathematical Methods I
Mathematical Methods II
Foundations of analysis
Second Year Modules
Complex Variable I and Vector Calculus
Dynamics
Stochastic Processes
Differential Equations
Analysis and Abstract Algebra
Linear and metric spaces
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