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Higher Mathematics for external students of  biological faculty

1st semester

 ? Topics Variants MW Σ Date 01 Given two vectors   and  . Find:   :: 1 :: the coordinates of     :: 2 :: unit vector for   :: 3 :: the scalar product of vectors  and   :: 4 :: the angle between the vectors  and   :: 5 :: vector product  and    :: 6 :: area of ??the parallelogram constructed on the vectors  and . 02 Solve the system by Cramer's rule 03 Solve the system using Gauss-Jordan method 04 Given the triangle ABC:  (;) , B(;) and C(;).  Find:  :: 1 :: The equations of sides AB and AC;  :: 2 ::  height equation CH;  :: 3 :: the equation and the median length of AM;  :: 4 :: the angle BAC;  :: 5 :: equation of a line passing through the vertex C, parallel to side AB;  :: 6 ::point of intersection of the median AM and the height CH;  :: 7 :: area of ??triangle ABC;  :: 8 :: make a drawing. 05 Discover which line is determined by this equation, bring it to its simplest form, make a drawing. 06 Find the limit of a rational function at infinity 07 Find the limit of a rational function at a point of discontinuity 08 Find the limit of irrational functions 09 Calculated using the first remarkable limit 10 Calculated using the second remarkable limit 11 Find the derivative of composite functions 12 Find the derivative of the quotient 13 Find the derivative of the product 14 Explore means of differential calculus entire rational function and to build its graph 15 Explore means of differential calculus rational function and to build its graph Σ Σ