 | Study programme 2018-2019 | Français | |
 | Complex analysis | ||
Programme component of Bachelor's Degree in Mathematics à la Faculty of Science |
| Code | Type | Head of UE | Department’s contact details | Teacher(s) |
|---|---|---|---|---|
| US-B3-SCMATH-038-M | 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 | 2nd term |
| AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
|---|---|---|---|---|---|---|---|---|
| S-MATH-009 | Complex Analysis | 20 | 20 | 0 | 0 | 0 | Q2 | 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. Cauchy-Riemann 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, one-variable differential and integral calculus, Taylor series for one-variable functions.
Type of Assessment for UE in Q2
- Written examination
Q2 UE Assessment Comments
Not applicable
Type of Assessment for UE in Q3
- Written examination
Q3 UE Assessment Comments
Not applicable
Type of Teaching Activity/Activities
| AA | Type of Teaching Activity/Activities |
|---|---|
| S-MATH-009 |
|
Mode of delivery
| AA | Mode of delivery |
|---|---|
| S-MATH-009 |
|
Required Reading
| AA | |
|---|---|
| S-MATH-009 |
Required Learning Resources/Tools
| AA | Required Learning Resources/Tools |
|---|---|
| S-MATH-009 | Not applicable |
Recommended Reading
| AA | |
|---|---|
| S-MATH-009 |
Recommended Learning Resources/Tools
| AA | Recommended Learning Resources/Tools |
|---|---|
| S-MATH-009 | Not applicable |
Other Recommended Reading
| AA | Other Recommended Reading |
|---|---|
| S-MATH-009 | Not applicable |
Grade Deferrals of AAs from one year to the next
| AA | Grade Deferrals of AAs from one year to the next |
|---|---|
| S-MATH-009 | Unauthorized |