Mathematics I (E) MTRSO1001A

Course content:
Elements of logic. Basic knowledge of mathematical logic.
Matrix calculus. Operations on matrices. Determinant of a matrix.
Solving systems of linear equations.
Fundamentals of analytical geometry. Operations on vectors.
Complex numbers.
Basic properties of real functions of one variable. The overview of elementary functions.
Sequences of numbers. The limit of a sequence. The limit and continuity of functions.
Differential calculus of functions of one variable. Derivative of a function. Applications of derivatives to study the function. Extrema of the function. The largest and smallest values of a function on the closed interval.
Indefinite integral. Antiderivative. Integration of trigonometric and rational functions.
Definite integral. Geometric interpretation of a definite integral.

Learning outcomes:
Skills and competence to apply mathematical description of mechanical problems and technological processes