Module code: MTH5103
Credits: 15.0
Semester: SEM2
Contact: Dr Mira Shamis
Prerequisite: Before taking this module you must take MTH4101 or take MTH4201 or take MTH4300 or take MTH4400
The integral and differential properties of functions of a complex variable. Complex differentiation, Cauchy-Riemann equations, harmonic functions. Sequences and series, Taylor and Laurent series, singularities and residues. Complex integration, Cauchy's theorem and consequences, Cauchy's integral formula and related theorems. The residue theorem and applications to evaluation of integrals and summation of series. Conformal transformations.
Connected course(s): UDF DATA
Assessment: 100.0% Examination
Level: 5