Provide the mathematical tools to address and solve applications in physics optics.
Prerequisites
Classical electromagnetism and optics
Teaching Methods
The course is conducted through lectures
Type of Assessment
The exam is oral and consists of two parts: the first part is a short seminar presentation on a topic chosen by the student, followed by in-depth questioning. In the second part of the exam, questions will be asked on a different section of the course, which may have received less focus during the seminar presentation. This examination format allows the evaluation of the student's specific foundational knowledge and acquired skills in analysis and exploration. The exam duration is approximately 40 minutes.
Course program
Differentiability of complex functions. Cauchy-Riemann conditions. Examples of holomorphic functions. Analytical functions. Complex integration. Fundamental Theorem of Integral Calculus. Definition of residual and formulas for calculating residuals. Residual theorem and applications to the calculus of real integrals