This thesis contains solutions to chosen problems of applied mathematics. It comprises examples related to geometrical applications of the double and triple integrals´ theory, ie calculation methods of areas, volumes, mass and coordinates of gravity centres. Each problem´s solution is described in detail and supplemented with a picture. The problems are arranged according to complexity.

The rules and specifications of competition Formula Student are the main guidelines at frame design of students' formula. This diploma work discusses frame safety and structural requirements and also requirements on mounting of engine, single axles, rear-axle differential, engine intake and exhaust system, fuel tank, control elements, and so on. In the final parts of this diploma work analysis of maximum state of stress in material of on-load frame is made and total frame torsional rigidity is calculated. Total frame torsional rigidity is compared with those of Formula Ford and with other variants of Formula Student.

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