• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Classification Advanced
    Specialist
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career Postgraduate
  • Course convener
    • Dr James Tener
  • Mode of delivery In Person
  • Co-taught Course MATH3228
  • Offered in Second Semester 2019
    See Future Offerings

This course is intended both for continuing mathematics students and for other students using mathematics at a high level in theoretical physics, engineering and information technology, and mathematical economics.

Topics to be covered include:

  • Complex differentiability
  • Conformal mapping
  • Complex integration
  • Cauchy integral theorems
  • Taylor series representation
  • Isolated singularities
  • Residue theorem and applications to real integration

Topics chosen from:

  • Argument principle
  • Riemann surfaces
  • Theorems of Picard, Weierstrass and Mittag-Leffler

Note: Graduate students attend joint classes with undergraduates but will be assessed separately.

Learning Outcomes

On satisfying the requirements of this course, students will have the knowledge and skills to:

1. Explain the fundamental concepts of complex analysis and their role in modern mathematics and applied contexts
2. Demonstrate accurate and efficient use of complex analysis techniques
3. Demonstrate capacity for mathematical reasoning through analyzing, proving and explaining concepts from complex analysis
4. Apply problem-solving using complex analysis techniques applied to diverse situations in physics, engineering and other mathematical contexts.

Indicative Assessment

Assessment will be based on:

  • Assignments (60%; LO 1-4)
  • Exam (40%; LO 1-4)

The ANU uses Turnitin to enhance student citation and referencing techniques, and to assess assignment submissions as a component of the University's approach to managing Academic Integrity. While the use of Turnitin is not mandatory, the ANU highly recommends Turnitin is used by both teaching staff and students. For additional information regarding Turnitin please visit the ANU Online website.

Workload

Three lectures per week, workshops by arrangement.

Requisite and Incompatibility

You will need to contact the Mathematical Sciences Institute to request a permission code to enrol in this course.

Fees

Tuition fees are for the academic year indicated at the top of the page.  

If you are a domestic graduate coursework or international student you will be required to pay tuition fees. Tuition fees are indexed annually. Further information for domestic and international students about tuition and other fees can be found at Fees.

Student Contribution Band:
Band 2
Unit value:
6 units

If you are an undergraduate student and have been offered a Commonwealth supported place, your fees are set by the Australian Government for each course. At ANU 1 EFTSL is 48 units (normally 8 x 6-unit courses). You can find your student contribution amount for each course at Fees.  Where there is a unit range displayed for this course, not all unit options below may be available.

Units EFTSL
6.00 0.12500
Note: Please note that fee information is for current year only.

Offerings and Dates

The list of offerings for future years is indicative only

Second Semester

Class number Class start date Last day to enrol Census date Class end date Mode Of Delivery
7570 22 Jul 2019 29 Jul 2019 31 Aug 2019 25 Oct 2019 In Person

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