Document Actions
3M2: Complex Variable Methods ( MATH3342)
Semester: 2 Campus: CRAWLEY
Semester: 2 Campus: CRAWLEY
| Availability: Semester 2 (See Timetable) | |||
|
Description This unit provides an introduction to the theory of functions of a complex variable, the geometry of complex numbers and conformal transformations. Applications include a discussion on fractals such as Julia and Mandelbrot sets.The theory of functions of a complex variable is one of the most beautiful parts of mathematics which provides the foundations of very powerful techniques widely used in almost all areas of mathematics and physics and also in other science disciplines, engineering and technology. Topics include complex numbers and transformations in the complex plane; complex functions; analyticity; Cauchy's theorem; Cauchy's formula; method of residues; series expansion; conformal mappings; dynamics of quadratic polynomials of a complex variable—Julia and Mandelbrot sets. For more details, see ~keady/Teaching/3M2 pages For more info see the Handbook: http://handbooks.uwa.edu.au/units/math/math3342 | |||
Resources
|
|||
|
Assessment This comprises an end-of-semester examination (70%) and in-semester tests (18%) and assignments (12%). The Thu 3M2 hours, roughly each fortnight, are used for in-semester tests or marking of assignments. Students are expected to demonstrate understanding of the theoretical basis of this subject. All assessment tasks require students to apply their knowledge of the unit content to solve previously unseen problems. Credit is given for clarity and correctness of presentation as well as for actual results.Supplementary assessment is not available in this unit except in the case of a bachelor's degree student who has obtained a mark of 45 to 49 and is currently enrolled in this unit, and it is the only remaining unit that the student must pass in order to complete the course. |
|||