Applied complex variables
This module is based on Applied Complex Variables by J. W. Dettman (reprinted by Dover, 1984), and will appeal to scientists and engineers as well as to mathematicians. Complex variable theory pervades a wide variety of important subjects and this module teaches topics that are both useful in the theoretical sciences and of interest in their own right. It is an intermediate-level module in our MSc in Mathematics.
04 Oct 2014
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This module is expected to start for the last time in October 2017.
What you will study
This module deals with subjects that seem to be a natural outgrowth of the study of analytical functions of one complex variable, for example potential theory, the theory of ordinary linear differential equations, Fourier and Laplace transforms and asymptotic expansions.
You will learn
Successful study of this module should enhance your skills in understanding complex mathematical texts, constructing solutions to problems logically and communicating mathematical ideas clearly.
This is one of the intermediate modules in the MSc in Mathematics (F04). Normally, you should have completed at least one intermediate module before studying Advanced mathematical methods (M833).
To study this module you must declare the MSc in Mathematics (or another qualification towards which the module can count) as your qualification intention.
Normally, you should have also completed at least one of the entry modules for the MSc in Mathematics (F04), Calculus of variations and advanced calculus (M820) or Analytic number theory I (M823).
All teaching is in English and your proficiency in the English language should be adequate for the level of study you wish to take. We strongly recommend that students have achieved an IELTS (International English Language Testing System) score of at least 7. To assess your English language skills in relation to your proposed studies you can visit the IELTS website.
If you have any doubt about the suitability of the module, please contact our Student Registration & Enquiry Service.
M828 is an optional module in our:
Some postgraduate qualifications allow study to be chosen from other subject areas. We advise you to refer to the relevant qualification descriptions for information on the circumstances in which this module can count towards these qualifications because from time to time the structure and requirements may change.
As a student of The Open University, you should be aware of the content of the Module Regulations and the Student Regulations which are
available on our Essential documents website.
If you have a disability
The material contains small print and diagrams, which may cause problems if you find reading text difficult.
If you have particular study requirements please tell us as soon as possible, as some of our support services may take several weeks to arrange. Find out more about our services for disabled students.
Module notes, other printed materials.
You will need
We recommend that you have access to the internet at least once a week during the module and would like to point out that vital material, such as your assignments, will be delivered online.
You will need a computer with internet access to study this module as it includes online activities, which you can access using a web browser.
If you have purchased a new desktop or laptop computer since 2008 you should have no problems completing the online activities.
If you’ve got a netbook, tablet or other mobile device check our Technical requirements section.
If you use an Apple Mac you will need OS X 10.7 or later.
You can also visit the Technical requirements section for further computing information (including details of the support we provide).
Materials to buy
- Dettman, J W Applied Complex Variables Dover Publications £18.99 - ISBN 9780486646701
Teaching and assessment
Support from your tutor
You will have a tutor who will help you with the study material and mark and comment on your written work, and whom you can ask for advice and guidance. Contact our Student Registration & Enquiry Service if you want to know more about study with The Open University before you register.
The assessment details can be found in the facts box above.
You will be expected to submit your tutor-marked assignments (TMAs) online using a special maths eTMA processor, which is used in place of the main eTMA system, unless there are some difficulties which prevent you from doing so. In these circumstances, you must negotiate with your tutor to get their agreement to submit your assignment on paper.
You will, however, be granted the option of submitting on paper if typesetting electronically or merging scanned images of your answers to produce an electronic TMA would take you an unacceptably long time.
Students also studied
Students who studied this course also studied at some time:
The details given here are for the module that starts in October 2014. It will be available again in October 2015 and October 2017.
How to register
To register a place on this course return to the top of the page and use the Click to register button.
The Open University is the world's leading provider of flexible, high quality distance learning. Unlike other universities we are not campus based. You will study in a flexible way that works for you whether you're at home, at work or on the move. As an OU student you'll be supported throughout your studies - your tutor or study adviser will guide and advise you, offer detailed feedback on your assignments, and help with any study issues. Tuition might be in face-to-face groups, via online tutorials, or by phone.
For more information about distance learning at the OU read Study explained.