Tabla de Contenidos: “…Numbers and language -- Systems of numeration -- Types of numbers -- Cornerstones of mathematics -- Combinatorics -- Symbolic logic -- Set theory -- Introduction to sequences and series -- Theory of equations -- Introduction to functions -- Overture to the geometries -- Elementary geometry -- Trigonometry -- Hyperbolic functions -- Analytic geometry -- Vector analysis -- Fractals -- Matrices and determinants -- Embarking on calculus -- Introduction to differential calculus -- Introduction to integral calculus -- Power series -- Indeterminate limits -- Complex numbers revisited -- Extrema and critical points -- Arc length -- Centroids -- Area -- Volume -- Motion -- Harmonic analysis -- Methods of approximation -- Probability theory -- Differential equations.…”

Tabla de Contenidos: “…Some general mathematical concepts and notation -- The real numbers -- Limits -- Continuous functions -- Differential calculus -- Integration -- Functions of several variables -- Differential calculus in several variables -- Some problems from the midterm examinations -- Examination topics -- v. 2. …”