Objectives of Programme's Learning Outcomes

• Understand the fundamentals
• Demonstrate knowledge and understanding of mathematics suitable for the study of physics, and be able to use this mathematics in applications in the field of physics
• Undertake further study having already acquired and enhanced the necessary learning skills

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 Q1

• Written examination

Q1 UE Assessment Comments

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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 Resit Assessment for UE in Q1 (BAB1)

• N/A

Q1 UE Resit Assessment Comments (BAB1)

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