Engineering Mechanics

"Termeh" how many in that sound, sadness, pain and longing, Oh how much you doomed to suffer and the suffering of the board. The course "Theoretical Mechanics" study in three parts: statics, kinematics and dynamics. To study all these sections must have a corresponding mathematical training. In all sections of the course, starting from the static, widely used vector algebra. Must be able to calculate the projections of the coordinate axes, to find geometrically (the construction of the vector triangle or polygon) and analytically (as projected onto the coordinate axes) the sum of the vectors, to calculate the scalar and vector product of two vectors, and to know the properties of these works, and in the kinematics and dynamics – to differentiate vectors. It should also be able to freely use a system of rectangular Cartesian coordinates on the plane and in space, to know what the unit vectors (vectors) these axes and are expressed as components of vectors along the coordinate axes with unit vectors. To study the kinematics must be freely able to differentiate the functions of one variable to plot these functions be familiar with the concepts of the natural trihedral, the curvature and radius of curvature. To study the dynamics have to find the integrals (definite and indefinite) from the simplest functions to compute the partial derivatives and total differential of functions of several variables, and be able to integrate the differential equations a second order with separable variables and linear differential equations of order 2 (homogeneous and heterogeneous) with constant coefficients.