This is an archived handbook for a previous year. The current undergraduate and postgraduate handbooks can be viewed using the links above.
Undergraduate Handbook 2008-2009 (archived)
Module MATH2111: CONTOURS AND SYMMETRIES II
Department: Mathematical Sciences
MATH2111: CONTOURS AND SYMMETRIES II
| Type | Level | Credits | Availability | Module Cap | Location |
|---|---|---|---|---|---|
| Open | 2 | 20 | Available in 2008/2009 | None. | Durham |
Pre-requisites
- Core Mathematics A (MATH1012) and Core Mathematics B1 (MATH1051) [the latter may be a co-requisite].
Corequisites
- Core Mathematics B1 (MATH1051) unless taken before.
Excluded Combinations
- Mathematics for Engineers and Scientists (MATH1551), Single Mathematics A (MATH1561), Single Mathematics B (MATH1571), Foundation Mathematics (MATH1641), Complex Analysis II (MATH2011); Contours and Hyperbolic Geometry II (MATH2121), Contours and Actuarial Mathematics II (MATH2171) and Contours and Probability II (MATH2**1).
Aims
- To study two separate topics in mathematics at least one of which will demonstrate how mathematics can be applied to real world situations.
Content
- Complex Differentiation.
- Power Series.
- Contour integrals.
- Calculus of residues.
- Rotation, Reflection and Lorentz invariance.
- Lie algebras.
- Roots and weights of SU (2) and SU (3).
- The eightfold way.
- Supersymmetry.
Learning Outcomes
Subject-specific Knowledge
- By the end of the module students will: be able to solve unseen problems in basic complex analysis and symmetries.
- Reproduce theoretical mathematics in the fields of basic complex analysis and symmetries to a level appropriate to Level 2.
- Have a knowledge and understanding of this subject demonstrated through one or more of the following topic areas:
- Complex Differentiation.
- Power Series.
- Contours integrals and calculus of residues.
- Rotation, reflection and Lorentz invariance.
- Lie Algebras.
- Root and weight systems for SU (2) and SU (3).
- The eightfold way.
- Supersymmetry.
Subject-specific Skills
- In addition students will have enhanced mathematical skills in the following area: Spatial awareness.
Key Skills
Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module
- Teaching is by Lectures and tutorials through which the main body of knowledge is made available.
- Students do regular formative work solving problems to gain insight into the details of the relevant theories and procedures.
- End of year examinations assess the learning.
Teaching Methods and Learning Hours
| Activity | Number | Frequency | Duration | Total Hours | Attendance Monitored |
|---|---|---|---|---|---|
| Lectures | 38 | 2 per week | 1 Hour | 38 | |
| Tutorials | 10 | Fortnightly for 20 weeks | 1 Hour | 10 | Yes |
| Problems Classes | 10 | Fortnightly for 20 weeks | 1 Hour | 10 | |
| Preparation and Reading | 142 | ||||
| Total | 200 |
Summative Assessment
| Component | Component Weighting | Element | Length/Duration | Element Weighting | Resit Opportunity |
|---|---|---|---|---|---|
| Examination | 100% | written examination | three-hour | 100% |
Formative Assessment
Weekly written assignments; no collection.
Students who do not attend monitored activities shown under Teaching Methods
and Learning Hours, or who fail to complete the summative or formative
assessment(s) specified above, may be subject to the Academic Progress
procedures defined in the University's General Regulation V, and may be
required to leave the University.