The notes contain an informal presentation of the main sections of the course of mathematics for students of engineering specialties : analysis of functions of one variable technique of differentiation and integration vector algebra and vector functions of scalar argument linear spaces, matrices and systems of linear equations ordinary differential equations differentiation and integration of functions of several variables , including differentiation and integration of vector fields of the basis of the theory of functions of a complex variable , including Laplace and Fourier integral transformations, Fourier trigonometric series elements of probability theory and mathematical statistics information from the school course of mathematics .