MA2MPHNU-Mathematical Physics

Module Provider: Mathematics and Statistics
Number of credits: 10 [5 ECTS credits]
Level:5
Semesters in which taught: Semester 2 module
Pre-requisites: MA0MANU Mathematical Analysis and MA1LANU Linear Algebra and MA1DE1NU Differential Equations I
Non-modular pre-requisites:
Co-requisites:
Modules excluded:
Current from: 2023/4

Module Convenor: Dr Calvin Smith
Email: Calvin.Smith@reading.ac.uk

NUIST Module Lead: Shen Louyu
Email: shenluyu@nuist.edu.cn

Type of module:

Summary module description:

The course continues the applied stream of mathematical education from e.g. mathematical modelling and facilitates to choose further physics- or biology-related modules in the third and fourth years. In this module, we show for several examples how mathematical problems arise in the description of nature and what their solution means for the phenomena under study. In this module you will also study how different mathematical concepts arise from physical phenomena, and in particular discover that completely different areas of physics can be described by exactly the same mathematical equations.

Aims:

1. Foster a fluency in dialogue between mathematical and physical sciences;


2. Build up mathematical intuition from analogies with physical problems;


3. Familiarise students with the elements of theoretical physics to broaden their horizons.

Assessable learning outcomes:

The main skill we will be developing during the module is the ability to separate important factors from the unimportant ones and to create models of different levels of sophistication. We will study these using examples from heat transfer and mass diffusion. Students will be able to apply them to analyse physical descriptions and formulate well-defined mathematical problems based on the descriptions.

Additional outcomes:

Confidence in facing real world problems.

Outline content:

• Conservation laws;


• Continuity and diffusion equations; Laws of Thermodynamics;


• Heat equation;


• Variational principles in nature;


• Maxwell equations.

Brief description of teaching and learning methods:

Lectures supported by problem sheets and lecture-based tutorials.

Contact hours:

Ìý	Semester 1	Semester 2
Lectures		48
Guided independent study:		52
Ìý	Ìý	Ìý
Total hours by term	0	100
Ìý	Ìý	Ìý
Total hours for module	100

Summative Assessment Methods:

Method	Percentage
Written exam	70
Class test administered by School	30

Summative assessment- Examinations:

2 hours.

Summative assessment- Coursework and in-class tests:

A mid-term class test and one examination.

Formative assessment methods:

Problem sheets.

Penalties for late submission:

The Support Centres will apply the following penalties for work submitted late:

• where the piece of work is submitted after the original deadline (or any formally agreed extension to the deadline): 10% of the total marks available for that piece of work will be deducted from the mark for each working day (or part thereof) following the deadline up to a total of five working days;
• where the piece of work is submitted more than five working days after the original deadline (or any formally agreed extension to the deadline): a mark of zero will be recorded.

The University policy statement on penalties for late submission can be found at: /cqsd/-/media/project/functions/cqsd/documents/cqsd-old-site-documents/penaltiesforlatesubmission.pdf
You are strongly advised to ensure that coursework is submitted by the relevant deadline. You should note that it is advisable to submit work in an unfinished state rather than to fail to submit any work.

Assessment requirements for a pass:

A mark of 40% overall.

Reassessment arrangements:

One examination paper of 2 hours duration in August - the resit module mark will be the higher of the exam mark (100% exam) and the exam mark plus previous Ìýmid-term class test Ìýmarks (70% exam, 30% mid-term class test).

Additional Costs (specified where applicable):

1) Required text books:Ìý

2) Specialist equipment or materials:Ìý

3) Specialist clothing, footwear or headgear:Ìý

4) Printing and binding:Ìý

5) Computers and devices with a particular specification:Ìý

6) Travel, accommodation and subsistence:Ìý

Last updated: 27 April 2023