• Offered by Mathematical Sciences Institute
  • ANU College ANU Joint Colleges of Science
  • Course subject Mathematics
  • Areas of interest Mathematics
  • Academic career Undergraduate
  • Course convener
    • Prof Alexander Isaev
  • Mode of delivery In Person
  • Co-taught Course MATH6213
  • Offered in Second Semester 2016
    See Future Offerings

This course is intended both for mathematics students continuing to honours work 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: This is an HPC. It emphasises mathematical rigour and proof and develops the material from an abstract viewpoint.

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:

    • Four assignments worth 15% each (40%; LO 1-4)
    • Exam (40%; LO 1-4)

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      Workload

      36 lectures, tutorials by arrangement

      Requisite and Incompatibility

      To enrol in this course you must have successfully completed MATH2320 with a mark of 60 and above.

      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
      Domestic fee paying students
      Year Fee
      2016 $3276
      International fee paying students
      Year Fee
      2016 $4368
      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
      7711 18 Jul 2016 29 Jul 2016 31 Aug 2016 28 Oct 2016 In Person

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