| CODE | MAT3214 | ||||||||
| TITLE | Complex Analysis | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 6 | ||||||||
| ECTS CREDITS | 4 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | - Continuity and analytic functions; - The Cauchy-Riemann equations; - Exponential, trigonometric, hyperbolic and logarithmic functions; - Harmonic functions; - Contour integration; - Fundamental theorem of calculus; - Cauchy’s theorem; - Cauchy’s integral formulae; - Liouville’s theorem; - The fundamental theorem of algebra; - Sequences; - Taylor’s series; - Laurent’s series; - Zeros and poles; - Residues; - Residue theorem and its applications. Textbooks - Osborne A.D., Complex Variables and their Applications, Addison-Wesley, New York, 1999. - Priestley H., Introduction to Complex Analysis, Oxford University Press, Oxford, 1994. |
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| ADDITIONAL NOTES | Follows from: MAT1211 Leads to: MAT3210, MAT3211 |
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| STUDY-UNIT TYPE | Lecture and Tutorial | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | Beatriz Zamora-Aviles |
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The University makes every effort to ensure that the published Courses Plans, Programmes of Study and Study-Unit information are complete and up-to-date at the time of publication. The University reserves the right to make changes in case errors are detected after publication.
The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2024/5. It may be subject to change in subsequent years. |
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