Program Overview

Program Overview

The MATH3979: Complex Analysis (Advanced) unit continues the study of functions of a complex variable introduced in the second year unit Analysis (MATH2023/2923). It aims to highlight certain topics from analytic function theory that have wide applications and intrinsic beauty. By learning about the analysis of functions of a complex variable, students will acquire a very important background for mathematical areas such as dynamics, algebraic and differential geometry, and number theory; and advanced theoretical physics such as quantum mechanics, string theory, and quantum field theory.

Unit Details and Rules

Managing Faculty or University School

The managing faculty for this unit is Science.

Details

• Study level: Undergraduate
• Academic unit: Mathematics and Statistics Academic Operations
• Credit points: 6

Enrolment Rules

• Prerequisites: A mark of 65 or above in 12 credit points of MATH2XXX
• Corequisites: None
• Prohibitions: MATH4079 or MATH3964
• Assumed knowledge: Good knowledge of analysis of functions of one real variable, working knowledge of complex numbers, including their topology, for example MATH2X23 or MATH2962 or MATH3068

Learning Outcomes

At the completion of this unit, students should be able to:

1. LO1. Demonstrate a conceptual understanding of limit, continuity, differentiation, and integration as well as a thorough background in a variety of techniques and applications of complex analysis.
2. LO2. Assess problems in the framework of complex analysis, to choose among several potentially appropriate mathematical methods of solution, and persist in the face of difficulty.
3. LO3. Present complete and mathematically rigorous solutions for problems in complex analysis that include appropriate justification for their reasoning.
4. LO4. Recognise problems in mathematics, science, engineering, and real life that are amenable to complex analysis, and to formulate models for such problems and apply the techniques of complex analysis in solving them.

Unit Availability

This unit is available in various sessions, including:

• Semester 1 2025: Normal day, Camperdown / Darlington, Sydney
• Semester 1 2026: Normal day, Camperdown / Darlington, Sydney
• Previous years: Various sessions and locations.

Modes of Attendance

The mode of attendance for this unit is Normal day. For more information about modes of attendance, please refer to the university's website.