Mathematical Tools in Mechanics

 This course consists of supplementary material in analysis and algebra focused on practical calculations. 

To provide students with the necessary mathematical tools in mechanics

Have a solid foundation in math from the science track of the senior year of high school

Comprehensive continuous assessment. Three exams weighted at 2, 4, and 4, with the "max" rule applied (final grade = the higher of the weighted average and the CC3 score).

Analysis: Operations on derivatives (product, composition, chain rule), Taylor’s formula, limit series, operations on limit series, finding extrema of functions of two variables.

General methods for finding antiderivatives and evaluating integrals: integration by parts, substitution, decomposition into eigenelements, and integration of rational fractions, including trigonometric rational fractions.

Algebra: matrix calculus, determinants, inverse matrices, characteristic polynomials, diagonalization.