This workshop is a collection of individual tasks (typical calculations) from the course of higher mathematics on the topics "Vector Algebra" and "Analytical Geometry." The presented basic concepts are accompanied by a large number of examples with detailed solutions. The first chapter of the workshop contains individual tasks on the topic "Scalar, vector and mixed products." The second chapter is devoted to analytical geometry in the plane and contains individual tasks on the following topics: polar coordinate system, straight line in the plane, second-order curves. The third chapter contains the necessary material on analytical geometry in space: a plane in space, a straight line in space, a straight line and a plane in space, second-order surfaces.