Natural numbers -- Integer numbers -- Rational numbers -- Real numbers -- Complex numbers -- Geometrical objects -- Euclidean geometry -- Analytic geometry -- Composite mathematical objects -- Sets -- Vectors and matrices -- Multilevel objects -- Graphs -- Polynomials -- Introduction to C -- Basics of programming -- Recursion -- Introduction to C++ -- Objects -- Vectors and matrices -- Dynamic vectors and lists -- Implementation of computational objects -- Trees -- Graphs -- Sparse matrices -- Meshes -- Triangulation -- Three-dimensional applications -- Mesh of tetrahedra -- Polynomials -- Sparse polynomials -- Stiffness and mass matrices -- Splines.