Complex Analysis

Course aim

Develop the classical theory of functions of a single complex variable, supported by worked examples.

Course content

Complex numbers; functions of a single complex variable; elementary functions and their transformations; limits; continuity and derivatives; differentiability and the Cauchy-Riemann equations; contour integration; integral theorems; representation of analytic functions by power series; Taylor and Laurent expansions; zeros and poles; the theory of residues; applications to the evaluation of definite integrals; conformal mapping.

Textbook(s)

E. B. Saff and A.D. Snider 2002, Fundamentals of Complex Analysis with Applications to Engineering, Science and Mathematics , 3rd, Prentice Hall, USA - OR the 2013 edition also listed here

E. B. Saff and A.D. Snider 2013, Fundamentals of Complex Analysis: Engineering, Science and Mathematics, Pearson New International Edition - Third Edition, Pearson, USA - OR the 2002 edition also listed here

Prerequisite(s)

Corequisite(s)

Nil

Teaching method

Note: These components may or may not be scheduled in every study period. Please refer to the timetable for further details.

Assessment

Assignment, Take home open-book exam

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 1)
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Fee-paying program for domestic and international students
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Non-award enrolment
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* Equivalent Full Time Study Load. Please note: all EFTSL values are published and calculated at ten decimal places. Values are displayed to three decimal places for ease of interpretation.