Undergraduate Programme and Module Handbook 2017-2018 (archived)
Module MATH2011: COMPLEX ANALYSIS II
Department: Mathematical Sciences
MATH2011:
COMPLEX ANALYSIS II
Type |
Open |
Level |
2 |
Credits |
20 |
Availability |
Available in 2017/18 |
Module Cap |
|
Location |
Durham
|
Prerequisites
- Calculus and Probability 1 (MATH1061) and Linear Algebra 1 (MATH1071) and Analysis 1 (MATH1051) [the latter may be co-requisite].
Corequisites
- Analysis 1 (MATH 1051) unless taken
before.
Excluded Combination of Modules
- Mathematics for Engineers and Scientists (MATH1551), Single
Mathematics A (MATH1561), Single Mathematics B (MATH1571), Mathematical Methods in Physics (PHYS2611)
Aims
- To introduce the student to the theory of complex analysis.
Content
- Complex differentiation.
- Conformal Mappings.
- Metric Spaces.
- Series, Uniform Convergence.
- Contour Integrals, Calculus of Residues.
- Applications.
Learning Outcomes
- By the end of the module students will: be able to solve
unseen problems in Complex Analysis.
- Reproduce theoretical mathematics in the field of Complex
Analysis 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.
- Conformal Mappings.
- Metric Spaces.
- Contour integrals, calculus of residues.
- Series, Uniform Convergence.
- Applications of Complex analysis.
- In addition students will have enhanced mathematical skills
in the following areas: Spatial awareness.
Modes of Teaching, Learning and Assessment and how these contribute to
the learning outcomes of the module
- Lecturing demonstrates what is required to be learned and the
application of the theory to practical examples.
- Fortnightly homework problems provide formative assessment to guide
students in the correct development of their knowledge and
skills.
- Tutorials provide active engagement and feedback to the
learning process.
- The end-of-year examination assesses the knowledge acquired
and the ability to solve predictable and unpredictable
problems.
Teaching Methods and Learning Hours
Activity |
Number |
Frequency |
Duration |
Total/Hours |
|
Lectures |
51 |
2 or 3 lectures per week on an alternating basis throughout Michaelmas and Epiphany terms and two lectures in each of week 20,21 |
1 Hour |
51 |
|
Tutorials |
11 |
Fortnightly for 21 weeks |
1 Hour |
11 |
■ |
Problems Classes |
9 |
Fortnightly for 19 weeks |
1 Hour |
9 |
|
Preparation and Reading |
|
|
|
129 |
|
Total |
|
|
|
200 |
|
Summative Assessment
Component: Examination |
Component Weighting: 100% |
Element |
Length / duration |
Element Weighting |
Resit Opportunity |
end of year written examination |
3 hours |
100% |
yes |
One written assignment to be handed in every third
lecture in the first 2 terms. Normally each will consist of solving
problems from a Problems Sheet and typically will be about 2 pages long.
Students will have about one week to complete each
assignment
■ Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University