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Module Title Analytical Techniques
SchoolMathematics
Department Mathematics
Module Code 06 22488
Module Lead S.O. Stephen
Level Intermediate Level
Credits 20
Semester Full Term
Pre-requisites
Co-requisites
Restrictions None
Contact Hours Lecture-46 hours
Seminar-0 hours
Tutorial-10 hours
Project supervision-0 hours
Demonstration-0 hours
Practical Classes and workshops-0 hours
Supervised time in studio/workshop-0 hours
Fieldwork-0 hours
External Visits-0 hours
Work based learning-0 hours
Guided independent study-0 hours
Placement-0 hours
Year Abroad-0 hours
Exclusions
Description This module develops further the basic topics of the differential and integral calculus met in prerequisites Mathematics Core 1 and 2.

The concepts of differentiation and integration are extended to cover functions of several real variables. The module includes an introduction to the more important classical differential equations; series expansions and transform methods of solution; boundary value problems.

Learning Outcomes By the end of the module the student will be able to: use the notation and basic manipulative techniques of the calculus of functions of several real variables; apply a variety of analytic and numerical techniques to solve problems in the calculus of several real variables, eg to find and analyse the stationary points of functions of more than one variable; set up and solve simple variational problems; set up and solve boundary value problems for ordinary differential equations using a variety of techniques.
Assessment 22488-01 : CA Sem 1 : Class Test (10%)
22488-02 : CA Sem 2 : Class Test (10%)
22488-03 : Exam : Exam (Centrally Timetabled) - Written Unseen (80%)
Assessment Methods & Exceptions 3 hr examination 80%, coursework and/or class test 20%
Other none
Reading List none