Complex Analysis
Subject MAST30021 (2013)
Note: This is an archived Handbook entry from 2013.
Credit Points:  12.50 

Level:  3 (Undergraduate) 
Dates & Locations:  This subject is not offered in 2013. 
Time Commitment:  Contact Hours: 3 x one hour lectures per week, 1 x one hour practice class per week Total Time Commitment: Estimated total time commitment of 120 hours 
Prerequisites: 
One of
Subject Study Period Commencement: Credit Points: 
Corequisites:  None 
Recommended Background Knowledge:  None 
Non Allowed Subjects: 
Students may only gain credit for one of

Core Participation Requirements:  For the purposes of considering request for Reasonable Adjustments under the Disability Standards for Education (Cwth 2005), and Students Experiencing Academic Disadvantage Policy, academic requirements for this subject are articulated in the Subject Description, Subject Objectives, Generic Skills and Assessment Requirements of this entry. The University is dedicated to provide support to those with special requirements. Further details on the disability support scheme can be found at the Disability Liaison Unit website: http://www.services.unimelb.edu.au/disability/ 
Subject Overview: 
Complex analysis is a core subject in pure and applied mathematics, as well as the physical and engineering sciences. While it is true that physical phenomena are given in terms of real numbers and real variables, it is often too difficult and sometimes not possible, to solve the algebraic and differential equations used to model these phenomena without introducing complex numbers and complex variables and applying the powerful techniques of complex analysis. Topics include: the topology of the complex plane; convergence of complex sequences and series; analytic functions, the CauchyRiemann equations, harmonic functions and applications; contour integrals and the Cauchy Integral Theorem; singularities, Laurent series, the Residue Theorem, evaluation of integrals using contour integration, conformal mapping; and aspects of the gamma function. 

Objectives: 
At the completion of this subject, students should understand the concepts of analytic function and contour integral and should be able to:

Assessment: 
Three or four written assignments due at regular intervals during semester amounting to a total of up to 50 pages (20%), and a 3hour written examination in the examination period (80%). 
Prescribed Texts:  None 
Recommended Texts: 
Jerrold Marsden and Michael J. Hoffman, Basic Complex Analysis, 3rd Ed. Freeman, 1998. 
Breadth Options:  This subject potentially can be taken as a breadth subject component for the following courses: You should visit learn more about breadth subjects and read the breadth requirements for your degree, and should discuss your choice with your student adviser, before deciding on your subjects. 
Fees Information:  Subject EFTSL, Level, Discipline & Census Date 
Generic Skills: 
In addition to learning specific skills that will assist students in their future careers in science, they will have the opportunity to develop generic skills that will assist them in any future career path. These include:

Notes:  This subject is available for science credit to students enrolled in the BSc (both pre2008 and new degrees), BASc or a combined BSc course. 
Related Majors/Minors/Specialisations: 
Applied Mathematics Applied Mathematics Applied Mathematics (specialisation of Mathematics and Statistics major) Discrete Mathematics / Operations Research Discrete Mathematics / Operations Research Discrete Mathematics and Operations Research (specialisation of Mathematics and Statistics major) Mathematical Physics Pure Mathematics Pure Mathematics Pure Mathematics (specialisation of Mathematics and Statistics major) Science credit subjects* for pre2008 BSc, BASc and combined degree science courses Sciencecredited subjects  new generation BSCI and BENG. Core selective subjects for BBMED. 
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