MTH328 Complex Analysis (8)
Abstract| This subject generalises the concepts of calculus to functions of complex variables. Topics covered include: complex numbers and their properties; complex functions, limits, continuity; derivatives, the Cauchy-Riemann equations, analytic functions, elementary functions; integration of complex functions; power series methods; residue theory; conformal mappings; applications of complex analysis. |
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+ Subject Availability Modes and Location
| Session 1 | | Distance | Albury-Wodonga Campus |
Continuing students should consult the SAL for current offering details: MTH328
Where differences exist between the Handbook and the SAL, the SAL should be taken as containing the correct subject offering details.
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Subject information| Duration | Grading System | School: |
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| One session | HD/FL | School of Computing and Mathematics |
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Learning OutcomesUpon successful completion of this subject, students should:
Understand the nature of complex numbers, and their representation in the complex plane;
Understand the concept of function as applied to complex numbers, and the ideas of limit, continuity, and differentiation of complex functions;
Have a familiarity with the elementary functions defined in terms of complex numbers;
Understand and apply the techniques of integration in the complex plane;
Be able to write complex functions as Taylor and Laurent series;
Be able to apply residue theory to evaluate closed contour integrals;
Appreciate how complex analysis extends the ideas of calculus to the complex plane, and throws light on real number problems. |
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SyllabusThe subject will cover the following topics:
Complex numbers and their properties;
Complex functions, limits and continuity;
Derivatives, the Cauchy-Riemann equations, analytic functions;
Elementary functions;
Integration of complex functions;
Power series methods;
Residue theory;
Applications.
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The information contained in the 2014 CSU Handbook was accurate at the date of publication: 13 September 2013. The University reserves the right to vary the information at any time without notice.
