Semestre2

The Algebra 2 course is a continuation and expansion of the concepts covered in Algebra 1, aiming to deepen the understanding of algebraic structures and their applications. This course is essential for students in mathematics, physical sciences, engineering, and related fields, as it provides the theoretical foundations necessary for more advanced studies in mathematics and other scientific disciplines.

The main objective of Algebra 2 is to deepen knowledge in linear algebra:

• Study the properties and applications of vector spaces and linear mappings.
• Understand the concepts of matrices, eigenvalues, eigenvectors, and matrix diagonalization.

Algebra 2 is a fundamental pillar for several reasons:

• Varied Applications: The concepts studied in this course are used in many fields, including cryptography, coding theory, number theory, and algebraic geometry.
• Theoretical Training: It develops rigor and abstract thinking, essential skills for any career in mathematics and the sciences.
• Preparation for Advanced Studies: This course prepares students for more advanced courses in pure and applied mathematics.

This course aims to introduce students to Algebra 2 and demonstrate its usefulness in the student's educational journey. To do this, we will present and use a rigorous mathematical framework. We will provide many examples to better understand the course.