Study programme 20202021  Français  
Complex analysis  
Programme component of Bachelor's in Mathematics à la Faculty of Science 
Students are asked to consult the ECTS course descriptions for each learning activity (AA) to know what special Covid19 assessment methods are possibly planned for the end of Q3 

Code  Type  Head of UE  Department’s contact details  Teacher(s) 

USB3SCMATH038M  Compulsory UE  BRIHAYE Thomas  S820  Mathématiques effectives 

Language of instruction  Language of assessment  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Credits  Weighting  Term 

 Français  20  20  0  0  0  4  4.00  1st term 
AA Code  Teaching Activity (AA)  HT(*)  HTPE(*)  HTPS(*)  HR(*)  HD(*)  Term  Weighting 

SMATH009  Complex Analysis  20  20  0  0  0  Q1  100.00% 
Programme component 

Objectives of Programme's Learning Outcomes
Learning Outcomes of UE
Understand the theorical aspects of the course and use them in the context of exercices.
Understand the differences between real and complex analysis.
Content of UE
Notion of holomorphic function. CauchyRiemann equations.
Integration of a complex function along a path. Cauchy Theorem.
Power series. Taylor and Laurent series.
Residue Theorem.
Prior Experience
Complex numbers: algebraic an trigonometric forms, complex plan, addition, multiplication, inverse, conjugate, de Moivre formula, solving polynomial equations,...
Real analysis: elementary functions (sin, cos, exp, ln,..), convergence of sequences and series of real numbers, onevariable differential and integral calculus, Taylor series for onevariable functions.
Type of Assessment for UE in Q1
Q1 UE Assessment Comments
/
Type of Assessment for UE in Q2
Q2 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q3
Q3 UE Assessment Comments
Not applicable
Type of Resit Assessment for UE in Q1 (BAB1)
Q1 UE Resit Assessment Comments (BAB1)
/
Type of Teaching Activity/Activities
AA  Type of Teaching Activity/Activities 

SMATH009 

Mode of delivery
AA  Mode of delivery 

SMATH009 

Required Reading
AA  

SMATH009 
Required Learning Resources/Tools
AA  Required Learning Resources/Tools 

SMATH009  Not applicable 
Recommended Reading
AA  

SMATH009 
Recommended Learning Resources/Tools
AA  Recommended Learning Resources/Tools 

SMATH009  Not applicable 
Other Recommended Reading
AA  Other Recommended Reading 

SMATH009  Not applicable 
Grade Deferrals of AAs from one year to the next
AA  Grade Deferrals of AAs from one year to the next 

SMATH009  Unauthorized 