Ordinary differential equations: basic notions, first order linear equations, first order equations with separable variables, second order linear equations with constant coefficients.
Sequences: limit, monotonic sequences, noteworthy sequences, comparison of divergent sequences, summations.
Series: partial sums, behaviour, geometric series, harmonic series, criteria for series with positive terms (comparison, asymptotic comparison, ratio, root, integral), absolute convergence, Leibniz's criterion for alternating series.
Functions of several variables: elementary properties of Rn, limits, continuity, partial derivatives, gradient, differentiability, directional derivatives, higher order derivatives, hessian matrix, Taylor's polynomials, critical points, unconstrained local extremum points, saddle points, convex sets and functions, curves (basic notions, parametric equations, tangent vector, length), level curves, implicit functions, constrained local extremum points, Lagrange multipliers, global extrema of continuous functions with compact domain, double integrals.