Preparing students to understand concepts from the curriculum for their application in professional subjects.

Acquiring basic mathematical knowledge from mathematical analysis, which is necessary for mastering and understanding professional subjects.

The concept of a definite integral and its properties. Newton-Leibniz formula. Improper integral. Application of definite integral. Series. Convergence criteria. Series of functions, domain of convergence. Power series, Taylor and Maclaurin series. Fourier series.
Functions of several variables, limits and continuity, geometric interpretation of functions of two variables. Partial derivatives, higher-order partial derivatives, total differential and higher-order differentials. Local and constrained extrema. Concept of double integral, properties and calculation. Variable substitution in double integral. Applications of double integrals (calculation of area, volume, mass, coordinates of center of mass, and moment of inertia). Triple integral, calculation, variable substitution, and applications.
Differential equations, first-order differential equations. Higher-order differential equations. Linear nth-order differential equations, linear differential equations with constant coefficients.

1. Zoran Mitrović, Matematička analiza 1, ETF, Banja Luka, 2012.

   (Original)

2. Snježana Maksimović, Diferencijalni i integralni račun 1, Arhitektonsko-građevinsko-geodetski fakultet, Univerzitet u Banjoj Luci, Banja Luka, 2022.

   (Original)

3. Ivan Slapničar, Matematika 2, Fakultet elektronike, strojarstva i brodogradnje, Split, 2008.

   (Original)

4. Zoran Mitrović, Snježana Maksimović, Zbirka riješenih ispitnih zadataka iz matematičke analize 1, ETF, Banja Luka, 2014.

   (Original)

Written exams, oral exams

lectures and exercises