1. Curves and surfaces in ℝ² and ℝ³.
2. Scalar functions of many variables: Basic concepts, limits and continuity, partial derivatives, total differential, implicit functions, Taylor expansion, stationary values without and under constraints, multiple integrals.
3. Vector functions: Basic concepts, parametric equations of a curve, gradient, directional derivative, divergence and rotation, line and surface integrals, Green, Gauss and Stokes theorems.