• Vector mechanics (classification of mechanical quantities; vector algebra: addition and subtraction; multiplication and division of vectors by scalars; scalar product and vector product)
• Basic knowledge about forces (basic properties of force; classification of forces; systems of forces and their classification; constraints and constraint reactions)
• Planar concurrent force system (diagrammatic representation of the composition of concurrent forces; resolving a force into two components; projection of force along the axis; theory of the sum of projections; composition of forces – analytical method; equilibrium of the planar concurrent force system)
• Calculating moment of a force acting about a point (force pairs; moment of a force acting about a point; resultant moment; theory of the resultant moment; force pair and their properties; composition and equilibrium of force pairs)
• Any planar force system (diagrammatic representation of the composition of forces applying the funicular polygon method; examples of the composition of any planar force system; diagrammatic representation of the equilibrium of planar force system; composition of the planar force system – analytical method; analytical equilibrium conditions for any planar force system; calculating reaction forces for beams; three-force members)
• Methods for solving plane trusses (Cremona and Ritter methods)
• Spatial force system (projections of forces along 3 axes of the rectangular coordinate system, analytical composition and analytical equilibrium conditions of the concurrent forces in the spatial system; moment of a force about an axis; equilibrium conditions of any planar force system; reduction of any system of forces),
• Centre of gravity (centre of parallel forces; determining centers of gravity)
• Friction (sliding friction; on inclined plane; in sliding bearings; rolling resistance)

• Tension and compression (extension; contracting; Poisson’s ratio; stress in sections perpendicular to the axis of the rod; Hooke's law; stress concentration; permissible stresses; calculating compression and tension resistance of structural components; critical loading capacity; contact stresses)
• Complex stress states (stresses in diagonal sections of tension and compression rods; stress state in two directions; stresses in thin-walled vessels)
• Shear (pure shear; technological shear; allowable shear stress; shear strength calculations)
• Bending (bending moment and cutting sieves; analytical method of determining bending moments and cutting sieves; diagrammatic method of determining bending moments; pure bending)
• Torsion (definition of the torque moment; stresses in sections of the helical rods; deformations of helical rods; calculating torsional resistance of shafts; calculating coil springs)
• Moments of inertia of plane shapes and calculating bending strength of beams (determining moments of inertia about the axis and point; moments of inertia in the rectangular coordinate system; moments of inertia about the parallel axes (Steiner theorem); elastic and plastic section modulus; moments of inertia and section modulus of complex figures; calculating bending strength of beams; allowable stresses; bending and deflection of beams; beams with even bending strength)
• Complex strength (diagonal bending; bending with simultaneous tension or compression ; eccentric compression; torsion with simultaneous bending)
• Buckling of tension rods (stability of the elastic system; critical force and critical stress; inelastic buckling; calculating buckling strength of tension rods)
• Fatigue strength  (periodically variable stresses; fatigue strength; fatigue diagram; factors influencing fatigue strength; fatigue calculations)

• Kinematics of a point and rotary motion of a solid (uniform rectilinear motion; rectilinear variable motion; curvilinear motion; uniform circular motion; rotation of a rigid body around a fixed axis)
• Plane motion of a rigid body (definition of plane motion; velocity in plane motion; determining a trajectory for a given point of a solid in plane motion; indexing trajectory; determining speed and acceleration using indexing trajectory method; rotational speed; analytical determination of speed and acceleration in plane motion)
• Composition of motion (resultant motion; speed in resultant motion; acceleration in resultant motion)

• Dynamics of a point (principles of dynamics; inertia; d'Alembert’s principle; simple harmonic motion; free vibration of a spring-mounted body; forced vibration)
• Work, energy, power, efficiency (mechanical work and units of work; work of the centre of gravity; work of alternating and spring force; mechanical energy; power and units of power; efficiency)
• Momentum, impulse, principles of work and energy, motion of the system’s center of mass; impact (momentum and impulse of a force – impulse; mass-energy equivalence; center of mass motion principle; impact; direct central impact; loss of kinetic energy after impact)
• Rigid body motion and rotational dynamics (mass moment of inertia; kinetic energy in rotational motion; mass-energy equivalence in rotational motion; rotational dynamics equations; starting power of rotating masses; d'Alembert’s principle; physical pendulum; centre of oscillation and centre of percussion; dynamic reactions; moment of momentum; conservation of angular momentum; gyroscope)

Content and presented materials may be adjusted to the individual needs of the participants (within the presented scope of material). It is also possible to include short tasks testing abilities of the participants, adjusted to the time limitations of the course.