Study programme 2023-2024 | Français | ||
Complex Analysis | |||
Programme component of Bachelor's in Physics (MONS) (day schedule) à la Faculty of Science |
Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
US-B3-SCPHYS-006-M | Compulsory UE | SIMON Matthieu | S823 - Analyse mathématique |
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Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|---|---|---|---|---|---|---|---|---|
| Français | 20 | 20 | 0 | 0 | 0 | 3 | 3.00 | 1st term |
AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | Weighting |
---|---|---|---|---|---|---|---|---|
S-MATH-009 | Complex Analysis | 20 | 20 | 0 | 0 | 0 | Q1 | 100.00% |
Programme component |
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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.
UE Content: description and pedagogical relevance
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 Teaching Activity/Activities
AA | Type of Teaching Activity/Activities |
---|---|
S-MATH-009 |
|
Mode of delivery
AA | Mode of delivery |
---|---|
S-MATH-009 |
|
Required Learning Resources/Tools
AA | Required Learning Resources/Tools |
---|---|
S-MATH-009 | Not applicable |
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 |
Term 1 Assessment - type
AA | Type(s) and mode(s) of Q1 assessment |
---|---|
S-MATH-009 |
|
Term 1 Assessment - comments
AA | Term 1 Assessment - comments |
---|---|
S-MATH-009 | / |
Resit Assessment - Term 1 (B1BA1) - type
AA | Type(s) and mode(s) of Q1 resit assessment (BAB1) |
---|---|
S-MATH-009 |
|
Term 3 Assessment - type
AA | Type(s) and mode(s) of Q3 assessment |
---|---|
S-MATH-009 |
|
Term 3 Assessment - comments
AA | Term 3 Assessment - comments |
---|---|
S-MATH-009 | Not applicable |