Studying Mathematics at postgraduate level gives you a chance to begin your own research, develop your own creativity and be part of a long tradition of people investigating analytic, geometric and algebraic ideas. Under the guidance of internationally renowned researchers in the School of Mathematics, Statistics and Actuarial Science (SMSAS), postgraduate students develop analytical, communication and research skills. Developing computational skills and applying them to mathematical problems forms a significant part of the postgraduate training in the School.
The Mathematics Group at Kent ranked highly in the most recent Research Assessment Exercise. With 100% of the Applied Mathematics Group submitted, all research outputs were judged to be of international quality and 12.5% was rated 4*. For the Pure Mathematics Group, a large proportion of the outputs demonstrated international excellence.
The Mathematics Group also has an excellent track record of winning research grants from the Engineering and Physical Sciences Research Council (EPSRC), the Royal Society, the EU, the London Mathematical Society and the Leverhulme Trust.
If your mathematical background is insufficient for direct entry to the MSc in Mathematics and its Applications, you may apply for this course. The first year of the programme has been designed to give you a strong background in mathematics, equivalent to the Graduate Diploma in Mathematics. This is followed by the MSc in Mathematics and its Applications.
The following modules are indicative of those offered on this programme. This list is based on the current curriculum and may change year to year. Most programmes will require you to study a combination of compulsory and optional modules. You may also have the option to take modules from other programmes so that you may customise your programme and explore other subject areas that interest you.
- MA552 - Analysis
- MA553 - Linear Algebra
- MA554 - Groups,Rings and Fields
- MA588 - Mathematical Techniques and Differential Equations
- MA591 - Nonlinear Systems and Mathematical Biology
- MA593 - Topics in Modern Applied Mathematics
- MA549 - Discrete Mathematics
- MA572 - Complex Analysis
- MA563 - Calculus of Variations
- MA587 - Numerical Solution of Differential Equations
- MA577 - Elements of Abstract Analysis
- MA576 - Groups and Representations
- MA574 - Polynomials in Several Variables
- MA961 - Mathematical Inquiry and Communication
- MA962 - Geometric Integration
- MA964 - Applied Algebraic Topology
- MA965 - Symmetries, Groups and Invariants
- MA968 - Mathematics and Music
- MA969 - Applied Differential Geometry
- MA970 - Nonlinear Analysis and Optimisation
- MA971 - Introduction to Functional Analysis
- MA972 - Algebraic Curves in Nature
- MA973 - Basic Differential Algebra
- CB600 - Games and Networks
- MA562 - Nonlinear Waves and Solitons
- MA960 - Dissertation
Closed book examinations, take-home problem assignments and computer lab assignments (depending on the module).
This programme aims to:
- provide a Master’s level mathematical education of excellent quality, informed by research and scholarship
- provide an opportunity to enhance your mathematical creativity, problem-solving skills and advanced computational skills
- provide an opportunity for you to enhance your oral communication, project design and basic research skills
- provide an opportunity for you to experience and engage with a creative, research-active professional mathematical environment
- produce graduates of value to the region and nation by offering you opportunities to learn about mathematics in the context of its application.
Knowledge and understanding
You will gain knowledge and understanding of:
- the applications of mathematical theories, methods and techniques
- the power of generalisation, abstraction and logical argument
- the processes and pitfalls of mathematical approximation
- nonlinear phenomena
- geometric thinking
- non-commutative phenomena
- algebraic thinking
- analytic thinking
- mathematical computation.
You develop intellectual skills in:
- problem solving: the ability to work with self-direction and originality in tackling and solving problems, as well as an ability to provide an analytic approach to mathematical problem-solving
- independent critical reading of technical material
- independent creative mathematical inquiry: to develop an understanding of how techniques of research and enquiry are used to create and interpret mathematical knowledge, to show initiative in the application of knowledge
- logical argument: the ability to formulate detailed rigorous arguments and to deal with complex issues both systematically and creatively.
You gain subject-specific skills in:
- mathematical typesetting (LaTeX)
- the ability to speak with clarity to both a mathematical and a non-specialist audience
- symbolic computation (eg Maple)
- numerical computation (eg Matlab).
You will gain the following transferable skills:
- oral and written communication: the ability to communicate technical material, ideas and results to specialist and non-specialist audiences
- project design: to independently plan, implement and complete a project to professional level
- basic research: to be able to select and critically evaluate appropriate material from a variety of sources, be able to use appropriate IT tools, be able to write a literature survey, to investigate a mathematical topic in-depth
- organisational, decision-making, self-management and time-management skills, including the ability to manage your own learning and self-development, and to plan and implement tasks autonomously.