General information 
Course unit name: Complex Analysis of One or More Variables
Course unit code: 568181
Academic year: 20182019
Coordinator: Joaquin Ortega Cerda
Department: Department of Mathematics and Computer Science
Credits: 6
Single program: S
Estimated learning time 
Total number of hours 150 
Facetoface learning activities 
64 
 Lecture 
32 

 Lecture with practical component 
32 
Supervised project (Final assignment.) 
38 
Independent learning (Problem study and resolution.) 
48 
Recommendations 

Competences to be gained during study 

Learning objectives 
Referring to knowledge
Referring to abilities, skills

Teaching blocks 
1. The inhomogeneous CauchyRiemann equation and applications
2. Harmonic functions and the Dirichlet problem
3. Subharmonic functions and zeros of holomorphic functions
4. Functions of several variables; Local theory
Teaching methods and general organization 

Official assessment of learning outcomes 
Assessment is based on the submitted answers to problems. There is also a final project that has

Reading and study resources 
Consulteu la disponibilitat a CERCABIB
Book
M. Andersson: Topics in Complex Analysis, Universitext: Tracts in Mathematics, Springer 1997
J. Bruna, J. Cufí: Complex Analysis, EMS Textbooks in Mathematics 2013
S. Krantz: Function theory of several complex variables , AMSchelsea 1992
L. Hörmander: Complex analysis in several variables, North Holland 1973
T. Ransford: Potential Theory in the Complex Plane, London Math Society.
W. Rudin: Real and Complex Analysis McGrawHill, New. York, 1966
Web page
J. KorevaarJ. Wiegerinck: Lecture notes several complex variables