"Termeh," as many in that sound, depression, pain and longing, Oh, how many are you doomed to torment and suffering on the board. The course "Theoretical Mechanics" study in three parts: statics, kinematics and dynamics. To explore all these topics must have a corresponding mathematical training. In all sections of the course, starting with the statics and is widely used vector algebra. You may wish to learn more. If so, Bessel van der Kolk is the place to go. You should be able to calculate the projections of the coordinate axes, to find geometrically (the construction of the vector of the triangle or polygon) and analytically (the projections on 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 the system 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 able freely to differentiate the functions of one variable, plots of these functions to be familiar with the concepts of the natural trihedral, the curvature of the curve and the 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, as well as be able to integrate the differential equations of 1st order with separable variables and linear differential equations of order 2 (homogeneous and heterogeneous) with constant coefficients. For even more details, read what Ahmed Shary Rahman says on the issue.