Unit name | Applied Analysis 4 |
---|---|
Unit code | MATHM6203 |
Credit points | 20 |
Level of study | M/7 |
Teaching block(s) |
Teaching Block 2 (weeks 13 - 24) |
Unit director | Dr. Slastikov |
Open unit status | Not open |
Pre-requisites |
none |
Co-requisites |
none |
School/department | School of Mathematics |
Faculty | Faculty of Science |
This unit introduces and develops some of the main methods of modern analysis (focusing on partial differential equations and calculus of variations) along with some of the main problems in the physical sciences that have been solved using these methods, such as pattern formation in elasticity and micromagnetics, the Allen-Cahn and Fokker-Plank equations, and optimal transportation.
This unit differs from its level 3 counterpart in that the student is expected to (1) understand the methods at a more abstract level and (2) apply them to more difficult problems. (Thus the problems sets and exams will be more challenging.)
Aims
Syllabus
Relation to Other Units
This unit uses some methods and ideas introduced in Analysis 2 and Calculus 2.
At the end of the course the student should be able to:
Transferable skills:
Lectures - 3 per week, in which the lecturer will present the course material on the blackboard. Students are expected to attend all lectures, and to prepare for them by reading notes, handouts or texts, as indicated by the lecturer.
The final assessment mark for Applied Analysis 3 is calculated as follows:
More information is given below. Note that the examination paper, and the unit as a whole, will differ from Applied Analysis 3 in that students will be expected to display understanding of the methods at a more abstract level and to apply them to more difficult problems.
Summer Examination
The examination in May/June consists of a 2 ½-hour paper consisting of FIVE questions; you should attempt FOUR. If you attempt more than four, your best four answers will be used for assessment. Calculators may NOT be used.