unisa logo
books-library-folders

Area/Catalogue
MATH 3031

graduate-cap

Course Level
Undergraduate

globe-earth-geography

Offered Externally
No

diploma-certificate-graduate-degree

Course ID
106052

pie-chart-graph

Unit Value
4.5

compass

University-wide elective course
No

Course owner

Course owner
School of Information Technology and Mathematical Sciences

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 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)

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

Task Length Weighting Duration
INTERNAL, MAWSON LAKES
Assignment 1 1250 word equivalent 20% N/A
Assignment 2 1250 word equivalent 20% N/A
Examination 2000 word equivalent 60% N/A

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:
How to determine your Commonwealth Supported course fee. (Opens new window)

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:
How to determine the relevant non award tuition fee. (Opens new window)

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

Course Coordinators

School of Information Technology and Mathematical

Degrees this course is offered in

Checking your eligibility