Functions and their properties. Graph of a function. Limits, continuity and asymptotes. Examples of functions. Trigonometric functions and their properties. Matrix and determinants. Vector spaces. Linear systems. Elements of analytical geometry in the plane and in space. Straight lines, planes and their equations. Circle, ellipse, hyperbola and parabola. Conics and quadrics. Platonic solids. Derivative of a function of a real variable and its geometric meaning. Tangent line and concavity. Study of the graph of a function.