Mathematics 1

Course Title: Mathematics 1

Code: 3ФЕИТ08З009

Number of credits (EKTS): 7

Weekly number of classes: 3+3+3+0

Prerequisite for enrollment of the subject: None

Course Goals (acquired competencies): Understanding of the basic concepts and tools from the differential and integral calculus of a real function of one real variable that are necessary for the study of electrical engineering.

Total available number of classes: 210

Course Syllabus: Sequences of real numbers, limit of a sequence, properties and operations with convergent sequences, some special sequences. Real function of the real variable, properties, limit of a function, some special limits. Derivative of a real function of one the real variable and its geometric interpretation, a tangent and normal line of a plane curve, basic rules of differentiation, first diferential, derivatives and differentials of a higher order, basic theorems of the differential calculus, application of derivatives, L'Hospital's rule, Taylor's theorem, sketching a graph of a function. Indefinite integrals and integration methods, definite integrals, basic theorems of integral calculus, Newton - Leibnitz's formula, importer integrals, application of the definite integrals to geometry.