This course introduces the fundamental concepts of real analysis, with a focus on real numbers and real sequences. It explains important notions such as order, bounds, supremum, infimum, convergence, and divergence of sequences. The module also develops logical reasoning and rigorous proof techniques, which are essential for understanding limits and advanced calculus.
The target audience is first-year students in Mathematics and Computer Science, Basic Training in Computer Science.
The main objectives of the course are to help students understand the funcamental concepts of real analysis, develop logical thinking and mathematical reasoning, and apply rigorous methods to study sequences and functions.
- Enseignant: BOUDJERIDA Nouha