MAS381 Mathematics III (Electrical)

Note: This is an old module occurrence.

You may wish to visit the module list for information on current teaching.

Semester 1, 2018/19 10 Credits
Lecturer: Dr Istvan Ballai uses MOLE Timetable Reading List
Aims Outcomes Assessment

Prerequisites: MAS241 (Mathematics II (Electrical))
No other modules have this module as a prerequisite.


Outline syllabus

1. Revision of complex numbers and functions, analytic functions 2. Complex series 3. Poles, singularities, complex integration 4. More advanced vector calculus: double operators, polar coordinates 5. Line integrals, surface integrals, volume integrals 6. Stokes’ theorem, Gauss’ theorem



Aims

1. To consolidate previous mathematical knowledge and to develop new mathematical techniques to electrical engineering at level 3 and 4. 2. To consolidate previous knowledge on complex numbers and introduce the concept of complex harmonic functions necessary to solve 2D Laplace equation 3. To study complex differentiation, integration and the theory of residues 4. Introduce the concept of double operators and polar coordinates. 5. To introduce the concepts of line integrals, Stoke’s theorem, and volume integrals.

Learning outcomes

At the end of the course the student should be able to
1. Understand the fundamental concepts at the heart of complex analysis 2. Be able to manipulate complex series 3. Be able to solve problems involving the use of contour integrals 4. Be able to calculate line, surface and volume integrals, including applying Stokes’ and Gauss’ theorems

22 lectures, 11 tutorials

Assessment

2 hour written examination 4 questions, each worth 25 marks. The exam mark counts as 95

Reading list

Type Author(s) Title Library Blackwells Amazon
A E. B. Staff Fundamentals of complex analysis with applications to engineering and science,
A E. Stein Complex analysis

(A = essential, B = recommended, C = background.)

Most books on reading lists should also be available from the Blackwells shop at Jessop West.

Timetable

Mon 14:00 - 14:50 lecture   Diamond Building LT2
Thu 12:00 - 12:50 tutorial (group E1) Pam Liversidge Building E05
Thu 12:00 - 12:50 tutorial (group E3) Pam Liversidge Building E06
Fri 14:00 - 14:50 lecture   Diamond Building LT2