Bibliography: p. 1322-1336.

Arithmetic and algebra -- Trigonometric and inverse trigonometric functions.hyperbolic and inverse hyperbolic functions -- Some formulae (areas, circunferences, volumes , surfaces ,centroids ,moments of inertia) -- Plane curves and construction -- Plane analytic geometry -- Solid analytic goemetry -- Vector calculus -- Tensor calculus -- Differential geometry -- Sequences and series of constant terms, infinite products -- Differential calculus of functions of a real variable -- Functions of two or more variables -- Integral calculus of functions of one variable -- Integral calculus of functions of two or more variables -- Orthogonal systems, Fourier series.some special functions (Bessel functions,etc.) -- Ordinary differential equations -- Partial differential Equations -- Integral equations -- Functions of a complex number -- Conformal mapping -- Some fundamental concepts from the theory of sets and functional analysis -- Calculus of variations -- Variational (direct) methods for solving boundary value problems of differential equations -- Approximate solution of ordinary differential equations -- Solution of partial differential equations by infinite series (by the Fourier method) -- Solution of partial differential equations by the finite difference method -- Integral transforms (operational calculus) -- Approximate solution of Fredholm integral equations -- Numerical methods in linear algebra -- Numerical solution of algebraic and transcendental equations -- Nomography and graphical analysis interpolation differences -- Probability theory -- Mathematical statistics -- Method of least squares. fitting curves to empirical data, elements of the calculus of observation.