Mathematics 1

Course title: Mathematics 1

Code: FEIT08Z001

Number of credits (ECTS): 6

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

Institute: Mathematics and Physics

Prerequisite for enrollment of the subject: None

Course goals/Competences: To adopt the basic concepts of differential and integral calculus for the real functions of a real variable. To develope analytical thinking, critical skills, learning ability. The obtained knowledge is necessary to study electrical engineering problems.

Total available number of classes: 180

Curriculum: Real numbers, mathematical induction, binomial formula. Infinite sequences of real numbers, limits of the sequences, convergent sequences properties.  Real valued functions of one real variable. Differential calculus for single variable functions. Derivative, geometric interpretation of derivative, tangent line, differentials. Techniques of differentiation. Higher order derivatives and differentials. Basic theorems of differential calculus: Rolle's, Fermat's, mean-value, L'Hospital's and Taylor's theorem. The derivatives in graphing and applications. Integral calculus for single variable functions. Indefinite integral, definite integral, the fundamental theorem of integral calculus. Improper integrals. Applications of definite integral in geometry, science and engineering.

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