The Algebra 1 tutorial is intended for first-year students specializing in Mathematics, Physics, and Chemistry. It aims to provide calculation methods and fundamental concepts essential for all scientific disciplines. The program begins with the study of mathematical logic, sets and applications, then moves on to algebraic structures, polynomials, vector subspaces, linear applications, and matrices. Among the key topics explored are matrix calculations, determinants, eigenvalues and eigenvectors, as well as vector spaces. Emphasis is placed on mastering calculation techniques, supported by the theoretical justifications necessary for a solid understanding.