VOLUME 1 - The proposed tutorial contains a brief theoretical material on determinants and matrices, systems of linear equations, vector and linear algebra, analytic geometry in the plane and in space, functions and calculation of limits, differential calculus of functions of one and several variables, applications of differential calculus to geometry, indefinite and definite integrals, and applications of a definite integral to problems of geometry, mechanics and physics, as well as a large number of examples illustrating the main methods of solution.