Study-Unit Description

Study-Unit Description


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.

 
ADDITIONAL NOTES Follows from: MAT1211

Leads to: MAT3210, MAT3211

 
STUDY-UNIT TYPE Lecture and Tutorial

 
METHOD OF ASSESSMENT
Assessment Component/s Assessment Due Sept. Asst Session Weighting
Examination (2 Hours) SEM1 Yes 100%

 
LECTURER/S Beatriz Zamora-Aviles

 

 
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Units not attracting a sufficient number of registrations may be withdrawn without notice.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 2023/4. It may be subject to change in subsequent years.

https://www.um.edu.mt/course/studyunit