Head of the course: Ophélie Rouby
TD volume: 30 hours
Course language: French
TD timetable
Monday 08:45 – 10:15 (Bâtiment 336 - salle 302)
Tuesday 10:30 – 12:00 (Bâtiment 336 - salle 304)
Course Syllabus
- The set of real numbers
- The set of complex numbers
- Algebraic calculation techniques
- Limits, continuity, and differentiability of real-valued functions of a real variable
- Standard functions
- Bijective functions and inverse functions
- Taylor expansions
- Integration
TD diary
Monday 07/09/2026
Topics covered: Introduction, quantifiers and basic properties of real numbers.
Exercises completed: TD1 — Exercises 1, 2 (points 1 to 5, 9 and 11), 3, 4, 10 and 12.
Homework: TD1 — Exercise 7.
Tuesday 08/09/2026
Topics covered: basic properties of real numbers, fractional and irrational inequations, infimum and supremum of a set.
Exercises completed: TD1 — Exercises 7, 15, 16, 18 and 19.
Homework: TD1 — Exercise 14.
Monday 14/09/2026
Topics covered: absolute value of a real number, intervals.
Exercises completed: TD1 — Exercises 14, 20, 21 (point 1 and 2), and 26.
Homework: TD1 — Exercises 23 and 25.
Tuesday 15/09/2026
Topics covered: algebraical form of a complex number, conjugate of a complex number, modulus of a complex number.
Exercises completed: TD1 — Exercises 23 and 25.
TD2 — Exercises 1, 3 (point 1 and 3), 4, 6, 7 and 8.
Homework: TD2 — Exercise 5.
Monday 21/09/2026
Topics covered: Complex numbers of module 1, Moivre's formula and Euler's formula.
Exercises completed: TD2 — Exercises 5, 9 (points 1 and 3), 13, 16 and 17.
Homework: TD2 — Exercise 18.
Tuesday 22/09/2026
Topics covered: Argument and trigonometrical form of a complex number, square roots of complex numbers. General review for the test of 23/09/2026.
Exercises completed: TD2 — Exercises 18, 19 and 21. Review exercices for the test.
Homework: TD2 — Exercise 12.
Monday 28/09/2026
Topics covered: Algebraical equations with complex numbers, induction principle.
Exercises completed: TD2 — Exercises 12 and 22 (point 1,3 and 4).
TD3 — Exercise 2.
Homework: TD2 — Exercise 24.
Tuesday 29/09/2026
Topics covered: Complex numbers and geometry, change of index in a sum, Newton's formula.
Exercises completed: TD2 — Exercise 24.
TD3 — Exercises 4, 6, 7 and 8.
Homework: TD3 — Exercise 3.
Materials
The following course material is divided into the same chapters covered
in class. The theory part is provided by the head of the course.
Chapter 1: The set of real numbers
Chapter 2: The set of complex numbers
Chapter 3: Algebraic calculation techniques
Chapter 4: Limits, continuity and differentiability