This first course, Algebra 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.

Course content:

Chapter 1: Sets, relations, and applications ( mappings )

Chapter 2: Complex numbers

Chapter 3: Vector spaces

The history of mathematics traces the development of mathematical thought from ancient civilizations to modern times. It explores the origins of fundamental concepts like numbers, geometry, and algebra in cultures such as Babylonian, Egyptian, Greek, and Indian. Significant milestones include the formulation of Euclidean geometry, the development of calculus by Newton and Leibniz, and the rise of abstract algebra and mathematical logic in the 19th and 20th centuries. This journey highlights the interplay between mathematical discoveries and advancements in science, technology, and philosophy, showcasing the universal and evolving nature of mathematics.