Mathematics and Physics

A Specialised Subject Skills & Knowledge

Mathematics programme

demonstrate competence in:

1) the terminology and conventions used in mathematics;
2) a range of fundamental concepts and techniques from calculus, vectors, analysis and algebra;
3) the breadth of topics that can be tackled by mathematics and the use of the key techniques in a range of applicable areas;
4) a selection of more specialist optional topics from various branches of mathematics;
5) the fundamentals of the use of modern technology in mathematics, for example computer algebra.

Physics programme

6) demonstrate knowledge and understanding of most fundamental physical laws and principles, and competence in the mathematical application of these principles to diverse areas of physics.
7) solve problems in physics using appropriate mathematical tools,  identify the relevant physical principles and make approximations necessary to obtain solutions.
8) use mathematical techniques and analysis to model physical behaviour.

Learning & Teaching Activities

Mathematics programme

Knowledge in (1-4) is primarily provided through formal lectures supported by regular problem sheets for students to tackle on their own. At Stage 1 lectures are reinforced by regular tutorial groups in which assistance with, and feedback on, problem sheets is given. At later Stages in the programme students work on set problems by themselves and to seek help when required using the office hours of staff. Applications of mathematics and statistics (3) are introduced in various Stage 2 modules and more advanced applications are introduced in Stage 3 options. Modules at Stage 3 encompass an extensive range of the applications of mathematics (4). Knowledge in (5) is provided through computer practical classes at Stage 1 and reinforced in calculus modules in Stage 1 and in some modules at later stages.

Physics programme

Material is introduced by lectures and directed reading/research. Students are given clear guidance in how to manage their learning and are expected to take progressively more responsibility for their own learning at each Stage. Understanding is developed and consolidated in problems classes and tutorials and by laboratory work and private study exercises, carried out individually and in pairs or groups. A mix of self-assessed and tutor-marked work provides rapid feedback. Project work is used to integrate material and make knowledge functional. A set of compulsory core modules cover the 'fundamental physical laws' in progressively greater depth at each Stage of the programme. These laws are applied in the options modules and projects at Stages 2 and 3. Mathematical skills are learned within dedicated modules and are applied and reinforced in the other 'physics' modules.

Assessment Methods

Mathematics programme

Most knowledge is tested through unseen formal examinations. Assessment of some optional modules involves essays, project reports or oral presentation.

Physics programme

Direct assessment is through a range of mid-semester tests (Stage 1 and 2 only), formal written examinations, and marked coursework in the form of problem sheets, laboratory reports, reports/essays based on directed reading and research. The Stage 3 project assessment is based on performance in laboratory work, oral presentations, planning ability, and a formal written report. Assessment criteria are published in the Physics Handbook.

B Academic Discipline Core Skills & Knowledge

Mathematics programme

1) think logically;
2) understand and construct mathematical proofs;
3) formulate, analyse and solve problems;
4) organise tasks into a structured form;
5) transfer appropriate knowledge and methods from one topic within the subject to another;
6) apply a range of mathematical ideas to unfamiliar problems and demonstrate good selection of choice in solution strategy;
7) demonstrate a capacity for critical evaluation of arguments and evidence;
8) present mathematical material clearly, logically and accurately, both in writing and orally.

Physics programme

9) apply knowledge and understanding of most fundamental physical laws and principles to diverse areas of physics.
10) solve problems in physics using appropriate analytical and practical methods and tools. Students should be able to identify the relevant physical principles and make approximations necessary to obtain solutions.
11) use mathematical techniques and analysis to model physical behaviour.

Learning & Teaching Activities

Mathematics programme

All these skills are an essential part of the understanding of mathematics, are embedded throughout core elements of the programme and are intrinsic to good performance in the programme. They are developed through formal lectures, tutorials, coursework, computer practicals, use of IT and private study. Skills (6-8) in particular are reinforced in optional modules involving directed reading, seminars or project work at Stage 3.

Physics programme

The 'Practical Physics' modules at Stages 1 (compulsory) and 2 (optional) provide a thorough training in the execution and critical analysis of an experimental investigation. These skills are developed further in the Stage 3 projects which require students to plan and execute experiments. They must also present and defend their conclusions.
Several optional modules offer specific training in computer programming and packages. Computing and IT modules are taught in the School's own computer rooms and a mix of lectures, and self-study packs supported by module instructors and demonstrators.

Assessment Methods

Mathematics programme

All these skills are tested indirectly in various core elements of the programme, with (5-8) contributing particularly to the more successful work. They are all assessed in part through written coursework and in part by unseen formal examinations. Skills (6-8) are directly assessed in some optional modules via oral presentation, essays or project reports.

Physics programme

Application of knowledge (9) and analytical skills are assessed within many modules through a range of formal written examinations, and marked coursework in the form of problem sheets, etc. Practical (10) and modelling skills (11) are primarily demonstrated in practical and project work however. The Stage 3 project assessment is based on performance in laboratory work, oral presentations, planning ability, a formal written report and a poster presentation. Assessment criteria are published in the Physics Handbook.

C Personal / Transferable / Employment Skills & Knowledge

Mathematics programme

1) use a range of IT software including standard and mathematical word-processing applications and computer algebra software;
2) communicate ideas effectively and clearly by appropriate means including oral presentation;
3) manage time effectively;
4) search and retrieve information from a variety of sources including libraries, databases and the web;
5) work as part of a team;
6) plan your career and personal development.

Physics programme

7) demonstrate ability in numerical manipulation and the ability to present and interpret information graphically.
9) communicate scientific information and in particular produce clear and accurate scientific reports.
10)  manage your own learning and make use of appropriate texts, research-based materials or other learning resources.

Learning & Teaching Activities

Mathematics programme

Skill (1) is developed from Stage 1 in a dedicated Physics module, and can be developed further in mathematics modules at Stages 2 and 3. Skills (1-2) are developed in various other core components of the programme e.g. oral presentations in Stage 1 tutorials, and the requirement for submission of word-processed coursework in some assignments in certain modules at Stages 1, 2 and 3. Skill (3) is intrinsic to successful completion of the programme. Skills (4) and (5) are developed through the requirement to complete at least one of certain specified modules at Stage 3, or a project. Skill (6) is reinforced through annual self-appraisals with personal tutors.

Physics programme

Initial training in scientific communication occurs during Stage 1 in the Practical Physics module and in tutorials. These skills are developed and used at progressively higher levels throughout the programme.
Students learn, with the guidance of tutors and module instructors, to take progressively more responsibility for managing their own learning at each stage of the programme.

Assessment Methods

Mathematics programme

Skills (1-3) are indirectly assessed as part of coursework in core modules and effective use of skills (1-4) will generally enhance performance throughout the programme. Skills (1-5) are more directly assessed at Stage 3 through the requirement to complete at least one of certain specified modules or a project.

Physics programme

Assessment of key skills is mostly through items of coursework: written and oral presentations, and through project work.