Code | Type | Head of UE | Department’s contact details | Teacher(s) |
---|---|---|---|---|
US-B2-SCMATH-004-M | Compulsory UE | BRIHAYE Thomas | S820 - Mathématiques effectives |
Language of instruction | Language of assessment | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Credits | Weighting | Term |
---|---|---|---|---|---|---|---|---|---|
Français | 0 | 0 | 0 | 0 | 0 | 4 | 4 |
AA Code | Teaching Activity (AA) | HT(*) | HTPE(*) | HTPS(*) | HR(*) | HD(*) | Term | |
---|---|---|---|---|---|---|---|---|
S-MATH-009 |
Objectives of general skills
- Understand "elementary" mathematics profoundly
- Understand one- and several-variable differential and integral calculus
- Manipulate previously acquired knowledge that appears in a question
- Give examples and counterexamples for definitions, properties, theorems, etc.
- Understand and produce strict mathematical reasoning
- Write clearly and concisely
- Use mathematical vocabulary and formalism appropriately
- Make sense of formal expressions
- Rely on a picture to illustrate a concept, rationale, etc.
- Solve new problems
- Abstract and manipulate theories and use these to solve problems
- Adapt an argument to a similar situation
UE's Learning outcomes
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
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.
Term 1 for Integrated Assessment - comments
Not applicable
Term 2 for Integrated Assessment - comments
Not applicable
Term 3 for Integrated Assessment - comments
Not applicable
Resit Assessment for IT - Term 1 (B1BA1) - Comments
Not applicable
Type of Teaching Activity/Activities
AA | |
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S-MATH-009 |
Mode of delivery
AA | |
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S-MATH-009 |
Required Reading
AA | |
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S-MATH-009 |
Required Learning Resources/Tools
AA | |
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S-MATH-009 |
Recommended Reading
AA | |
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S-MATH-009 |
Recommended Learning Resources/Tools
AA | |
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S-MATH-009 |
Other Recommended Reading
AA | |
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S-MATH-009 |