calculus of variations and advanced calculus

Person specification The person specification for this module should be read in conjunction with the generic person specification for an associate lecturer at The Open University. In addition, the module aims to provide students with an understanding of the need for mathematical rigour and an elementary knowledge of the historical significance and development of the subject. These topics will include the calculus of functions of many variables, convergence of sequences of functions, problems associated with nonlinear boundary value problems, properties of Sturm-Liouville systems and eigenfunction expansions. The main topic will be the Calculus of Variations but supporting material needed in other MSc modules will also be included. These include the calculus of functions of several real variables, ideas of convergence, particularly of sequences of functions and normed vector spaces. The module also provides an introduction to various other topics, a working knowledge of which is required both in this module and in other modules in the MSc programme. M820 develops the theory of Calculus of Variations which is an area of study that includes problems of significance in both pure and applied mathematics. The pay band on this module includes payment to reflect the fact that proactive contact from the tutor is necessary to ensure that students become and remain engaged with the material and the TMAs.

Therefore students on M820 may be new to distance learning and may require additional support because of this. Module description The module is intended as an entry level introduction to the MSc in Mathematics programme and will be the initial module of most students new to the programme. Students need to successfully complete six modules worth 180 points to be awarded the degree. The students are provided with complete module material. Calculus of variations and advanced calculus M820 Presentation pattern October to June Programme information Whilst most of the MSc modules are based on guided reading of an individual set textbook and wrap around notes, M820 does not have a set book.