Unit information: Advanced Mathematics for Physics in 2027/28

Please note: Programme and unit information may change as the relevant academic field develops. We may also make changes to the structure of programmes and assessments to improve the student experience.

Unit name Advanced Mathematics for Physics
Unit code PHYS20041
Credit points 20
Level of study I/5
Teaching block(s) Teaching Block 2 (weeks 13 - 24)
Unit director Dr. Reynolds
Open unit status Not open
Units you must take before you take this one (pre-requisite units)

PHYS10012 Core Physics I: Classical, Quantum and Thermal Physics

Units you must take alongside this one (co-requisite units)

PHYS20040 From Classical to Modern Physics

Units you may not take alongside this one

N/A

School/department School of Physics
Faculty Faculty of Science

Unit Information

Why is this unit important?

This unit introduces the major mathematical methods underpinning theoretical physics and is vital for your further development in the exploration of theoretical physics. We will start with your existing mathematical studies in Physics and develop this further; expanding areas which were previously covered at a surface level to better understand the underlying mathematical methods as well as exploring new techniques in mathematics which lead from this enhanced understanding.

How does this unit fit into your programme of study?

This unit is a mandatory component of the Theoretical Physics programme, allowing you to more deeply engage with theoretical and quantum physics in higher years, as well as allowing you to engage with options available from other schools (e.g. Mathematics) to further your studies of theoretical physics.

Your learning on this unit

An overview of content

On this unit, you will cover:

  • The theory of complex functions of a complex variable and the residue theorem
  • Using the theory of groups and their representations to study symmetry in physics
  • Advanced mathematical methods for quantum mechanics and mathematical physics

How will Students, personally, be different as a result of the unit

This unit will give you a greater insight into the mathematical methods underpinning physics, allowing you perspective in how theoretical models in physics are constructed.

Learning Outcomes

By the end of this unit, you should be able to:

  • Demonstrate knowledge and understanding of unit content;
  • Combine knowledge of prerequisite units to develop theoretical models in physics
  • Apply methods to solve problems in theoretical physics
  • Reflect on your own development as a physicist, recognising strengths and identifying opportunities for improvement using the feedback given to successfully solve new problems in the assessment

How you will learn

The unit is organised through our on-line learning environment (OLE). This is where you will find information about the unit, lecture notes, any pre-recorded videos, recordings of lectures and live sessions, access to online quizzes and other learning resources.

All teaching activities will be delivered face-to-face (barring intervention from exceptional events), and it is an expectation that you engage with these activities. Learning activities will be split across in-class activities (lectures, problems classes) and those around your own private study (for example online quizzes, videos, textbook references etc.).

The unit will consist of around 30 hours of content delivery with 10 hours of problems support. Along with this time there is an expectation of personal study in line with the University statement on student workloads.

Some sessions may require preparation beforehand (e.g. watching a video, reading a textbook chapter or journal article or similar); where these materials are provided, you should aim to spend around one hour of preparation time for one hour of face-to-face teaching. This will allow you to make the most of class discussions and activities.

Problem classes will be conducted in a range of group sizes, where you will be able to discuss the problems with other students and staff.

How you will be assessed

Tasks which help you learn and prepare you for summative tasks (formative):

You will be taught through a combination of:

  • In-person teaching, including lectures, group problem classes, workshops and tutorials.
  • Asynchronous online materials, including narrated presentations and worked examples
  • Directed individual formative exercises with feedback
  • Guided structured reading

Tasks which count towards your unit mark (summative):

You will sit a written examination which will assess all intended learning objectives of the course.

Assessment breakdown

  • End of unit examination: 80%
  • Coursework: 20%

When assessment does not go to plan

If you do not pass the summer exam you may have the opportunity to take any failed components in the next available assessment period.* You should contact the Senior Tutor if you think your assessment might not be going to plan, and you can discuss with your personal tutor for support. If you feel your examinations have been affected by any exceptional circumstances, you must contact the Senior Tutor before the advertised cut-off date.

If offered a resit opportunity, you only need resit the end of unit examination. The assessed course work will be discarded.

Resources

If this unit has a Resource List, you will normally find a link to it in the Blackboard area for the unit. Sometimes there will be a separate link for each weekly topic.

If you are unable to access a list through Blackboard, you can also find it via the Resource Lists homepage. Search for the list by the unit name or code (e.g. PHYS20041).

How much time the unit requires
Each credit equates to 10 hours of total student input. For example a 20 credit unit will take you 200 hours of study to complete. Your total learning time is made up of contact time, directed learning tasks, independent learning and assessment activity.

See the University Workload statement relating to this unit for more information.

Assessment
The assessment methods listed in this unit specification are designed to enable students to demonstrate the named learning outcomes (LOs). Where a disability prevents a student from undertaking a specific method of assessment, schools will make reasonable adjustments to support a student to demonstrate the LO by an alternative method or with additional resources.

The Board of Examiners will consider all cases where students have failed or not completed the assessments required for credit. The Board considers each student's outcomes across all the units which contribute to each year's programme of study. For appropriate assessments, if you have self-certificated your absence, you will normally be required to complete it the next time it runs (for assessments at the end of TB1 and TB2 this is usually in the next re-assessment period).
The Board of Examiners will take into account any exceptional circumstances and operates within the Regulations and Code of Practice for Taught Programmes.