This first course, Analysis I, is primarily devoted to harmonizing students’ knowledge at the beginning of their university studies. The initial new concepts are introduced progressively in order to guide students toward more advanced mathematics. The topics covered in this course are fundamental and among the most frequently used in the fields of Science and Technology.

Chapter 1: The set of real numbers

Chapter 2: Sequences of real numbers

Chapter 3: Real functions of one real variable

Chapter 4: Finite (Taylor) expansions

Chapter 5: Simple integrals