MTH3020: Complex analysis and integral transforms

3 10% assignments (Fairly easy if you keep up to date), 3 3.3% in class tests going for 25 mins each (very straight forward if you stay up to date)

A really enjoyable unit, challenging however but very rewarding. If you attend all lectures (Which I highly recommend, theres no reason not too, both lectures are great and explain things clearly), complete all problem sets and read through the textbook and Schaums Outlines then you're set for a great mark in this unit.

This unit is technically a pure & applied one, although I'd say its largely just applied. There was 6 questions on the exam and only 1 was a 'pure/proof' style, the rest were simple calculation/evaluation style questions. That being said however, there are a lot of proof questions in the problem sets for the complec analysis part, in fact they are mostly proof questions, and in the lectures there will be a lot of detail in explaining why and how certain theorems and results are derived. That is to say if your a pure guy and worried this will be a boring unit I think you'll find that it has more than enough to keep you interested, and if you an applied guy, while some of the detailed proofs in lectures and tutorials may scare or even bore you, have no fear because the exam will mostly be applied style questions. Also the Integral transforms section is entirely applied, there are no proofs here only application - but this only makes about 1/3 of the course.

The topics covered in Complex Analysis are:

Greg Markowsky - Complex Analysis (Solid lecturer, I never found his explanations difficult to comprehend and kept me engaged), Paul Cally - Integral Transforms (Also a solid lecturer, great explanations and loved telling stories ever now and then and making funny remarks to keep us engaged).

2 available on Moodle, 1 with comprehensive worked solutions.

5 out of 5

Yes, all lectures are recorded. For integral transforms, Paul's handwritten work is recorded live on the overhead. For complex analysis, lecture slides are on the overhead and the old fashion projector is used by Greg for writing. These are uploaded to moodle and so you can listen to the audio recordings and follow the slides if you need.

Schaums Outlines for Laplace Transforms (Can be taken into exam with highlighting allowed), and Saff and Snider introduction to complex analysis for scientists and engineers (Optional, but I would recommend if you want to consolidate lectures further, it's very relevant to the lectures)

3X1 hour lectures per week, 1 hour of practice tutorial class per week. A fairly involved problem set each week - I would highly recommend completing them all if you want a distinction or above.

Sem 2, 2014

- Examination (3 hours): 60%
- Assignments and quizzes: 40%

Overall an enjoyable unit, though I can't say the same for many of my friends. The content is very challenging and despite the name "analysis", it is very different from real analysis, there won't be many rigorous proofs like induction, contradiction and all that, its more of algebra manipulation and theorem application. This course will start off quite easy, with some basic complex numbers such as Euler's identity, the imaginary plane, conjugate and whatnot. Then the course takes you to a brand new territory, filled with new theorems that's only available in complex numbers (they are quite fun to think about) and they teach you how to do integration and differentiation in complex plane. Then it moves onto taylor series, laurent series, a slight introduction to mobius transformation and conformal mapping. But hang on, theres more! You will also learn laplace and fourier transformation! This unit is very useful for engineering students whose also taking a science degree, it's not overly difficult but don't underestimate the amount of things you have to study for the exam.

Dr Greg Markowsky

Yes, 2 on moodle and 1 with solution

4 Out of 5

Yes, with screen capture

- Fundamentals of Complex Analysis by E.B. Saff and A.D. Snider (optional)
- Schaum's outlines Laplace Transforms by Murray R. Spiegel (must for exam)

- 3 x 1hours lectures
- 1 hour tutorial class

Semester 2, 2013

76 D