TO001A - MATHEMATICAL ANALYSIS I (MATP)

The aim of this course is to introduce the fundamental concepts of differential and integral calculus for functions of a single real variable. These topics form the foundation not only for subsequent courses in Mathematical Analysis but also for subjects such as Probability Theory, Mechanics, Physics, and many other areas of both Pure and Applied Mathematics. The main learning objectives are: to develop logical reasoning and the ability to understand mathematical texts; to present the core ideas and essential methods of calculus; to provide tools for tackling and solving problems. By the end of the course, students are expected to: understand the key concepts of single-variable calculus; solve exercises and discuss meaningful examples; grasp the central notions of Mathematical Analysis. Active participation in lectures, exercises, and the additional support offered by the tutor will help students strengthen their skills in understanding and communicating mathematical content, both in written and oral form.