Complex Analysis

Course aim

This is a first course in complex analysis. The aim is to introduce the student to the classical theory of functions of a single complex variable. The course develops the theory of differential and integral calculus of complex functions, 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, Fundamentals of Complex Analysis with Applications to Engineering, Science and Mathematics, 3rd edn

Prerequisite(s)

MATH 1055 Calculus 2 and MATH 1056 Linear Algebra OR MATH 1064 Mathematical Methods for Engineers 2

Corequisite(s)

Nil

Teaching method

Component	Duration
INTERNAL, MAWSON LAKES
Lecture	3 hours x 13 weeks
Tutorial	1 hour x 12 weeks

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

Assessment

Assignment 1, Assignment 2, Examination

Fees

EFTSL*: 0.125
Commonwealth Supported program (Band 2)
To determine the fee for this course as part of a Commonwealth Supported program, go to:
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Fee-paying program for domestic and international students
International students and students undertaking this course as part of a postgraduate fee paying program must refer to the relevant program home page to determine the cost for undertaking this course.

Non-award enrolment
Non-award tuition fees are set by the university. To determine the cost of this course, go to:
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Not all courses are available on all of the above bases, and students must check to ensure that they are permitted to enrol in a particular course.

* 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.