This course is an introduction to the theory of complex variables that is useful in many branches of pure and applied mathematics.
Analytic functions of one complex variable, Cauchy-Riemann equations. Contour integrals, Cauchy's theorem and Cauchy's integral formula, maximum modulus theorem, Liouville's theorem, fundamental theorem of algebra, Morera's theorem. Taylor series, Laurent series, singularities of analytic functions. Residue theorem, calculus of residues. Fourier transforms, inversion formula, convolution, Parseval's formula. Applications.
| AUs | 4.0 AUs |
| Grade Type | |
| Prerequisite | MH1101, MH2100 |
| Exam | 3 December 2026, 9.00 am - 11.00 am |
The Exam information shown may be subject to changes. Students are to check the finalised exam timetable with exam seat information, which will be available at the 'Examination Seating Arrangement' webpage, 2 weeks before start of examination.
Prerequisite Graph
Available Indexes
| Mon | Tue | Wed | Thu | Fri | |
|---|---|---|---|---|---|
| 930 | 70271 TUT (T) 0930-1020 Wed SPMS-LT4 Wk2-13 | ||||
| 1000 | |||||
| 1030 | COMMON LEC (LE) 1030-1120 Wed SPMS-LT4 | ||||
| 1100 | |||||
| 1130 | |||||
| 1200 | |||||
| 1230 | |||||
| 1300 | |||||
| 1330 | |||||
| 1400 | |||||
| 1430 | |||||
| 1500 | |||||
| 1530 | |||||
| 1600 | |||||
| 1630 | COMMON LEC (LE) 1630-1820 Thu SPMS-LT2 | ||||
| 1700 | |||||
| 1730 | |||||
| 1800 |