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Applications of complex variable theory in the physical and engineering sciences. Contour integration. Conformal mappings.
Complex variables is essentially an extension of calculus to complex-valued functions of a complex variable. We will show that such an extension follows a fairly natural course. The mathematical rewards are tremendous and far-reaching, and beautiful results abound. There is a variety of applications of complex functions in Engineering and Science, and it also leads naturally to the field of special functions which itself has many applications. This course will cover the basic theory with an emphasis on some of these applications. It is strongly recommended for students in Mathematics, Engineering and Physics.
At the end of the course the student will be familiar with the following topics:complex numbers and functions of a complex variableanalytic functions and the Cauchy-Riemann equationsCauchy's theorem. Taylor and Laurent series. Singularities
MATH201 orMATH240; or, a high level of achievement in EMTH210 with Head of School approval
Tutorials 10%Test 30%Final Exam 60%Notes on final gradesThe Department reserves the right to adjust marks and consequent grades, up or down, inorder to achieve consistency of assessment standards.
Advanced engineering mathematics;
John Wiley & Sons.
James Ward Brown & Ruel V. Churchill,;
Complex variables and Applications;
Jerrold E. Marsden & Michael J. Hoffman;
Basic complex analysis;
W.H. Freeman & Co, 1987.
General information for students
Domestic fee $780.00
International fee $4,250.00
* All fees are inclusive of NZ GST or any equivalent overseas tax, and do not include any programme level discount or additional course-related expenses.
For further information see
Mathematics and Statistics.