MAS8814 : Advanced Concepts of Applied Mathematics (Inactive)
- Inactive for Year: 2024/25
- Module Leader(s): Dr Graeme Sarson
- Lecturer: Dr Paul McFadden
- Owning School: Mathematics, Statistics and Physics
- Teaching Location: Newcastle City Campus
Semesters
Your programme is made up of credits, the total differs on programme to programme.
| Semester 1 Credit Value: | 10 |
| Semester 2 Credit Value: | 10 |
| ECTS Credits: | 10.0 |
| European Credit Transfer System | |
Aims
To introduce students to a selection of advanced applied mathematical topics that underpin current internationally-recognised research at Newcastle.
Module Summary: The module involves discussion of current research in Applied Mathematics at Newcastle. The anticipated syllabus is given below, although there may be changes to reflect recent developments.
Outline Of Syllabus
This module will introduce students to the two areas that are described below:
Mathematical Biology:
Mathematical Biology is an important application of mathematics to biology. Students are introduced to the concepts and techniques involved in developing mathematical models of biological systems. Students will learn how to analyse the resulting models and interpret their results in the context of the biological questions being asked. In particular, topics considered include population dynamics, delay differential equations and their analysis and networks of biochemical reactions.
Introduction to Quantum Field Theory:
Combining special relativity and quantum mechanics, quantum field theory is a cornerstone of modern theoretical physics. It provides a common language for particle physics, cosmology and condensed matter, and its predictions are the most accurate and highly tested in all of science. In this course, we aim to introduce key concepts in quantum field theory in an introductory and self-contained manner. Topics to be covered include: (i) the dynamics of classical fields; (ii) Noether's theorem connecting symmetries to conservation laws; (iii) canonical quantisation for a scalar field; (iv) the energy of the vacuum.
Teaching Methods
Teaching Activities
| Category | Activity | Number | Length | Student Hours | Comment |
|---|---|---|---|---|---|
| Scheduled Learning And Teaching Activities | Lecture | 9 | 1:00 | 9:00 | Present in Person (S2) |
| Structured Guided Learning | Lecture materials | 36 | 1:00 | 36:00 | Non-Synchronous Activities |
| Scheduled Learning And Teaching Activities | Lecture | 9 | 1:00 | 9:00 | Synchronous On-Line Material |
| Guided Independent Study | Assessment preparation and completion | 30 | 1:00 | 30:00 | N/A |
| Structured Guided Learning | Structured non-synchronous discussion | 18 | 1:00 | 18:00 | N/A |
| Scheduled Learning And Teaching Activities | Drop-in/surgery | 4 | 1:00 | 4:00 | Office Hour or Discussion Board Activity |
| Guided Independent Study | Independent study | 94 | 1:00 | 94:00 | N/A |
| Total | 200:00 |
Jointly Taught With
| Code | Title |
|---|---|
| PHY8048 | Advanced Concepts of Applied Mathematics |
Teaching Rationale And Relationship
Non-synchronous online materials are used for the delivery of theory and explanation of methods, illustrated with examples, and for giving general feedback on assessed work. Present-in-person and synchronous online sessions are used to help develop the students’ abilities at applying the theory to solving problems and to identify and resolve specific queries raised by students, and to allow students to receive individual feedback on marked work. In addition, office hours/discussion board activity will provide an opportunity for more direct contact between individual students and the lecturer: a typical student might spend a total of one or two hours over the course of the module, either individually or as part of a group.
Assessment Methods
The format of resits will be determined by the Board of Examiners
Other Assessment
| Description | Semester | When Set | Percentage | Comment |
|---|---|---|---|---|
| Written exercise | 1 | M | 10 | written exercises |
| Written exercise | 2 | M | 10 | written exercises |
| Written exercise | 2 | M | 80 | Alternative Assessment |
Assessment Rationale And Relationship
A substantial formal examination / alternative assessment is appropriate for the assessment of the material in this module. The course assessments will consist of five assignments of approximately equal weight and will allow the students to develop their problem solving techniques, to practise the methods learnt in the module, to assess their progress and to receive feedback; these assessments have a secondary formative purpose as well as their primary summative purpose.
Reading Lists
Timetable
- Timetable Website: www.ncl.ac.uk/timetable/
- MAS8814's Timetable