The tutorial "Special Chapters of Mathematics" contains sections such as number series, function series, power series in real and complex domains, function theory of a complex variable, Laplace transform, trigonometric Fourier series, integral and Fourier transform. The tutorial presents a large number of tasks for the sections of the course, at the end of each of which exercises are offered for self-solution. The manual is intended for bachelors and specialists in engineering areas and specialties of UrFU.