Apply mathematical knowledge logically and accurately in the solution of examples and complex problems

Teaching/Learning Methods and Strategies

By their nature, mathematics and physics have to be presented logically. The lectures and model examples to problems provide exemplars of this logical structure. They also identify the tools needed to address certain problems. Tutorial problems and assignments offer the students opportunities to develop their logical reasoning skills, to develop skills in organising their reasoning and application of mathematical and physical principles, and to develop skills in the selection of techniques.

Methods of Assessment

The assessment of these skills is implicit in most methods of assessment, including exams, coursework, practicals and project work. The overall degree of success in any assessment depends to a large extent on students’ mastery of logical and accurate methods of solution, well-organised structure of answers, and the identification of the appropriate solution method.

Conduct an advanced experimental or theoretical physics investigation under supervision

Teaching/Learning Methods and Strategies

The project modules will offer the students the opportunity to identify what it takes to carry out an extended experimental or theoretical physics study. These skills are also developed through extended assignments in a wide range of modules across the entire spectrum

Methods of Assessment

These skills are assessed mainly through project reports and oral presentations on project work of increasing complexity, culminating in the final project

Analyse complex problems and situations within physics in mathematical terms, and identify the appropriate physics concepts and mathematical tools and techniques for their solution

Teaching/Learning Methods and Strategies

By their nature, mathematics and physics have to be presented logically. The lectures and model examples to problems provide exemplars of this logical structure. They also identify the tools needed to address certain problems. Tutorial problems and assignments offer the students opportunities to develop their logical reasoning skills, to develop skills in organising their reasoning and application of mathematical and physical principles, and to develop skills in the selection of techniques.

Methods of Assessment

The assessment of these skills is implicit in most methods of assessment, including exams, coursework, practicals and project work. The overall degree of success in any assessment depends to a large extent on students’ mastery of logical and accurate methods of solution, well-organised structure of answers, and the identification of the appropriate solution method.

Organise their work in a structured manner

Teaching/Learning Methods and Strategies

By their nature, mathematics and physics have to be presented logically. The lectures and model examples to problems provide exemplars of this logical structure. They also identify the tools needed to address certain problems. Tutorial problems and assignments offer the students opportunities to develop their logical reasoning skills, to develop skills in organising their reasoning and application of mathematical and physical principles, and to develop skills in the selection of techniques.

Methods of Assessment

The assessment of these skills is implicit in most methods of assessment, including exams, coursework, practicals and project work. The overall degree of success in any assessment depends to a large extent on students’ mastery of logical and accurate methods of solution, well-organised structure of answers, and the identification of the appropriate solution method.

Demonstrate understanding of the fundamental concepts and techniques of calculus, analysis, algebra, linear algebra and numerical methods

Teaching/Learning Methods and Strategies

Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, laboratory and practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study.

Methods of Assessment

Formal exams, class tests, small reports, presentations

Use these fundamental concepts and techniques in a range of application areas, including, for example, partial differential equations, mechanics, numerical analysis, optics, quantum mechanics, electromagnetism and statistical mechanics.

Teaching/Learning Methods and Strategies

Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, laboratory and practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study.

Methods of Assessment

Formal exams, class tests, small reports, presentations

Application of the fundamental concepts is also of importance to any of the project modules, as deeper understanding will result in higher marks

Demonstrate knowledge and conceptual understanding of the theory and application of core physics concepts in the areas of classical and relativistic mechanics, quantum physics, condensed matter, electromagnetism, optics and thermodynamics.

Teaching/Learning Methods and Strategies

Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, laboratory and practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study.

Methods of Assessment

Examinations, class tests, written and online assignments, tutorial performance, written reports, oral presentations

Understand and appreciate the importance of mathematical and physics logic

Teaching/Learning Methods and Strategies

Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, laboratory and practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study.

Methods of Assessment

Formal exams, class tests, small reports, presentations
This appreciation is of particular importance to the project modules, as such logic is critical to arrive at appropriate conclusions

Demonstrate understanding, and application of this understanding, within a range of more specialist optional topics within applied mathematics

Teaching/Learning Methods and Strategies

Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, laboratory and practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study.

Methods of Assessment

Formal exams, class tests, small reports, presentations

Demonstrate knowledge and understanding in selected specialist physics topics, and an awareness of current trends and developments at the frontiers of these subjects

Teaching/Learning Methods and Strategies

Lectures provide the core method for the presentation of the knowledge required for students to be successful. Each lecture-based module has associated tutorials, and, where appropriate, laboratory and practical classes to assist the student with the development of understanding of the core contents, including its application. Assignments are provided to assist further development of understanding. These assignments are marked and returned to students typically within one week with individual feedback. Model solutions to these assignments are made available to students for additional self-study.

Methods of Assessment

Examinations, assignments, written reports/essays, oral presentations, and oral review meetings

Demonstrate understanding of logical mathematical arguments, including mathematical proofs and their construction, and apply these arguments appropriately.
Demonstrate understanding of core physics concepts, and apply these concepts appropriately.

Teaching/Learning Methods and Strategies

Each lecture-based module has associated tutorials, and, where appropriate, practical classes to assist the student with the development of understanding and application of logical mathematical arguments, physical concepts and/or analytic/numerical mathematical techniques. Assignments also assist the development of understanding in these areas.
The project modules allow students to spend time on a more extended problem, which will enable a more in-depth development of mathematical and/or physics arguments and application of mathematical and/or physics techniques

Methods of Assessment

Assessment is mainly through formal examination and class tests for lecture-based modules. This assessment is supplemented through written reports and oral presentations. For project modules, the latter is the main method of assessment.

Apply a wide range of analytic and/or numerical mathematical techniques and physics concepts within well-defined mathematics and physics contexts, and to formulate and solve mathematics and physics problems in more loosely defined contexts

Teaching/Learning Methods and Strategies

Each lecture-based module has associated tutorials, and, where appropriate, practical classes to assist the student with the development of understanding and application of logical mathematical arguments, physical concepts and/or analytic/numerical mathematical techniques. Assignments also assist the development of understanding in these areas.
The project modules allow students to spend time on a more extended problem, which will enable a more in-depth development of mathematical and/or physics arguments and application of mathematical and/or physics techniques

Methods of Assessment

Assessment is mainly through formal examination and class tests for lecture-based modules. This assessment is supplemented through written reports and oral presentations. For project modules, the latter is the main method of assessment.

Use a range of mathematical software for the solution of mathematical and/or physics problems

Teaching/Learning Methods and Strategies

Basic skills are developed through the mathematical modelling module, the professional skills modules and the computer algebra module. Numerical analysis has associated computer practicals, using appropriate specialist software.
n the project modules, further opportunities to use mathematical software may be available.

Methods of Assessment

These skills are primarily assessed through reports and presentations associated with work carried out using mathematical software.

Present mathematical and physical findings through oral and written means to a range of audiences

Teaching/Learning Methods and Strategies

Communication through reports and/or oral presentations forms a compulsory part of many modules across the entire range of modules offered.

Methods of Assessment

These skills are primarily assessed through compulsory reports and presentations within many modules.

Perform dimensional analysis and order of magnitude estimates

Teaching/Learning Methods and Strategies

Discussed and demonstrated in lectures and tutorials. Routinely practiced in other modules.

Methods of Assessment

Assignments, tutorial performance

Plan, execute and report the results of an experiment or investigation, and compare results critically with predictions from theory and/or experiment

Teaching/Learning Methods and Strategies

Laboratory experiments, computational projects and research projects

Methods of Assessment

Assignments, written reports, oral presentations, oral review meetings

Plan and execute a substantial experimental or theoretical investigation in a specific research area of physics including critical and quantitative assessment of their own work and the work of others

Teaching/Learning Methods and Strategies

One-to one supervision of substantial project performed individually or as part of a team in a current area of mathematics or physics research.

Methods of Assessment

Online safety tests, risk assessments, literature reviews, oral presentations, laboratory performance, oral review meeting, written report

Adopt an analytic approach to problem solving

Teaching/Learning Methods and Strategies

Analytic thinking is part of any module in mathematics and physics, and is therefore cultivated through the tutorials, practicals and assignments associated with each lecture-based module, including all the project components.

It is also a critical skill developed during the project modules

Methods of Assessment

Analytic thinking is embedded implicitly in every assessment within mathematics and physics.
Problem solving skills will be assessed through an extended range of project work, culminating in the final-year project modules

Search for, evaluate and reference relevant information from a range of sources

Teaching/Learning Methods and Strategies

Lectures/workshops on how to use and reference and review library books, scientific papers, and internet sources. Re-enforced at all levels through supervision during labs, research projects and group projects, and formative and summative feedback for student coursework.

Methods of Assessment

Written reports and essays, oral presentations (for individual and group projects), literature reviews

Use computer technology efficiently for a variety of purposes

Teaching/Learning Methods and Strategies

Basic computer modelling skills are developed through the mathematical modelling module, the professional skills modules and the computer algebra module. Numerical analysis has associated computer –oriented tasks, where students can develop skills in the use of appropriate specialist software.
In the project modules, further opportunities to use mathematical software may be available.
Written reports develop skills in the use of word-processing software, while the presentations can develop skills in the use of presentation software

Methods of Assessment

Computer modelling skills are primarily assessed through reports and presentations associated with work carried out using numerical software.
The main test in Computer Algebra takes place through a direct assessment of their use of appropriate software
Computer skills in word-processing and presentation development are assessed implicitly in the project and presentation assessment

Communicate mathematical and physics ideas and concepts

Teaching/Learning Methods and Strategies

Any assignment or coursework or project work involves the communication of mathematical and/or physics ideas, and these skills are thus embedded indirectly in any module.
Any report or presentation will provide an explicit learning opportunity, where the increase in complexity at higher levels will provide a means for communication skill development

Methods of Assessment

The assessment of communication skills takes place through the reports and presentations, where higher skill levels will result in higher overall marks

Present findings through written reports

Teaching/Learning Methods and Strategies

Any assignment or coursework or project work involves the communication of mathematical and/or physics ideas, and these skills are thus embedded indirectly in any module.
Any report or presentation will provide an explicit learning opportunity, where the increase in complexity at higher levels will provide a means for communication skill development

Methods of Assessment

The assessment of communication skills takes place through the reports and presentations, where higher skill levels will result in higher overall marks

Present findings through oral communication

Teaching/Learning Methods and Strategies

Any assignment or coursework or project work involves the communication of mathematical and/or physics ideas, and these skills are thus embedded indirectly in any module.
Any report or presentation will provide an explicit learning opportunity, where the increase in complexity at higher levels will provide a means for communication skill development

Methods of Assessment

The assessment of communication skills takes place through the reports and presentations, where higher skill levels will result in higher overall marks

Manage their time

Teaching/Learning Methods and Strategies

Project work associated with modules at each Level are the prime method for development. The increase in level of complexity of such projects throughout the programme, in line with student’s overall development, will implicitly develop the students’ skills in project management.

Laboratory experiments, research projects, group projects, and personal tutoring/supervision/mentoring

Methods of Assessment

These skills are assessed implicitly as part of any project component to a module. A higher level of skill in time management will provide student with greater opportunity to present a well thought-through report, which allows the students to better highlight their achievements.

Oversee extended projects, either individually or as part of a team

Teaching/Learning Methods and Strategies

Project work associated with modules at each Level are the prime method for development. The increase in level of complexity of such projects throughout the programme, in line with student’s overall development, will implicitly develop the students’ skills in project management.

Laboratory experiments, research projects, group projects, and personal tutoring/supervision/mentoring

Methods of Assessment

These skills are assessed implicitly as part of any project component to a module. A higher level of skill in time management will provide student with greater opportunity to present a well thought-through report, which allows the students to better highlight their achievements.

Appreciate and demonstrate the importance of health and safety, risk assessment and scientific ethics

Teaching/Learning Methods and Strategies

Safety training courses, lectures, workshops, personal supervision

Methods of Assessment

Project/lab risk assessments, online safety tests, assignments