The Mathematical Analysis and Mathematical Logic course is one of the fundamental courses in mathematical education. It contributes to building the theoretical and methodological foundations necessary for understanding various mathematical concepts and developing the ability to think and reason in a precise and structured manner.
The first part of the course focuses on fundamental concepts in mathematical analysis, beginning with the study of sequences and series, where students are introduced to the concepts of convergence, limits, and methods for studying the behavior of sequences and series. The course then moves to the study of functions and continuity, with particular emphasis on the concept of continuity and the properties of continuous functions. This part concludes with the study of differentiation and its applications in analyzing functions and understanding their behavior.
The second part of the course focuses on mathematical logic, which provides an essential framework for formulating mathematical ideas and expressing them in a precise and rigorous manner. Students are introduced to fundamental concepts related to logical expressions, propositions, and logical connectives, as well as syntax and semantics and methods for constructing mathematical arguments and proofs.
By combining concepts from mathematical analysis and mathematical logic, this course aims to help students develop precise and structured mathematical thinking, as well as the ability to analyze problems, understand definitions and theorems, verify results, and construct valid mathematical proofs.
The course activities available on the educational platform are designed to support students in their progressive and self-directed learning. They include theoretical explanations, illustrative examples, learning activities, and assessment tasks that enable students to apply their knowledge and evaluate their understanding of the concepts covered throughout the course.
- Teacher: Elhabib Hadjadj