Course Overview

Teaching Assistant / Instructor for exercise sessions (Travaux Dirigés) in Complex Analysis (L3 level) at ENS Paris-Saclay.

Course Syllabus & Topics

• Holomorphic Functions: Cauchy-Riemann equations, power series, and harmonic conjugates.
• Cauchy Theory: Cauchy integral formulas, Liouville’s theorem, and maximum modulus principle.
• Singularities & Residues: Laurent series, residue theorem, and evaluation of real integrals.

Course Materials & Exercise Sheets

TD 1: Holomorphic & Harmonic Functions

• Topics: Cauchy-Riemann equations, power series, and harmonic conjugates.
• Material: Exercise Sheet 2 (PDF)

TD 2: Cauchy Integral Formulas

• Topics: Cauchy integral theorem, Liouville’s theorem, and maximum modulus principle.
• Material:

TD 3: Singularities & Residues

• Topics: Laurent series, residue calculus, and evaluation of definite real integrals.
• Material: