Mathematical tools in mechanics

 This course consists of complementary analysis and algebra focused on practical calculations. 

Providing students with the necessary mathematical tools in mechanics

Have a solid foundation in high school science mathematics.

Continuous assessment throughout the semester. Three exams weighted 2, 4, and 4, with the max rule applied (final grade = max of the weighted average and CC3).

Analysis: operations on derivatives (product, composition, reciprocal application), Taylor's formula, limited developments, operations on limited developments, finding extrema of functions of two variables.

General methods for finding primitives and calculating integrals: integration by parts, change of variables, decomposition into eigenelements and integration of rational fractions, integration of trigonometric rational fractions.

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