Branimir Pavković
Chair:
E-mail: branimir.pavkovic@riteh.hr
Phone:
Courses
Study Programs in English
Mathematics (UNDERGRADUATE study program)
The goal of the course is to challenge students to conjecture, to build arguments and obtain competences and skills in formulating and solving problems, especially in economic fields using comparative statistics to explain different economic issues.
Course content
BASICS OF MATHEMATICAL LOGIC (OPERATORS); SETS AND SETS OF NUMBERS. MATRIX ALGEBRA: determinants, Sarruse’s rule, Cramer’s rule for solving equation systems, matrix inverse, etc. FUNCTIONS: definition of function, domain, co-domain, composition, sequences and series. DIFFERENTIATION: techniques of differentiation, the fundamental theorem of calculus, L'Hopital's rule. INTEGRALS: the fundamental theorem, Darboux's summs, integration's rules, partial integration, etc.
Course content
BASICS OF MATHEMATICAL LOGIC (OPERATORS); SETS AND SETS OF NUMBERS. MATRIX ALGEBRA: determinants, Sarruse’s rule, Cramer’s rule for solving equation systems, matrix inverse, etc. FUNCTIONS: definition of function, domain, co-domain, composition, sequences and series. DIFFERENTIATION: techniques of differentiation, the fundamental theorem of calculus, L'Hopital's rule. INTEGRALS: the fundamental theorem, Darboux's summs, integration's rules, partial integration, etc.
Mathematics
Expected learning outcomes
After passing the exam, students will be able to:
- Analyse the functions of one variable and apply the methods of mathematical analysis
- Apply methods and rules of linear algebra in solving systems of linear equations with unknowns.
- Define and explain the basic concepts of mathematical analysis and linear algebra.
Course content
SETS AND SETS OF NUMBERS,
- FUNCTIONS: function definition, function domain,, function types, function composition, inverse function. Real functions: elementary functions, limits of function, continuity of function.
- DIFFERENTIAL CALCULUS: Problem of tangent and velocity, definition of derivation, derivation of elementary functions, derivation rules, differential function. Basic theorems of differential calculus, L'Hospital's rule, application of derivations to function flow examination, extremes of a function.
- INTEGRAL CALCULUS A definite integral. Darboux sums, mean value theorem. Indefinite integral and relation to derivation. Primitive function. Tabular integrals and integration rules. Substitution and integration by parts method.
- MATRIX ALGEBRA: matrix concept, matrix classification, arithmetic operations with matrices, vector space, inverse matrix, matrix rank, system of linear equations, Gauss - Jordan method, application of Gauss - Jordan method to inverse matrix calculation, quadratic matrix determinants, determinant properties, application of determinants to the calculation of the inverse matrix, Cramer's system of linear equations, inverse matrix, Gaussian elimination method, matrix rank, solving matrix equations, application of matrix calculus in economy.
After passing the exam, students will be able to:
- Analyse the functions of one variable and apply the methods of mathematical analysis
- Apply methods and rules of linear algebra in solving systems of linear equations with unknowns.
- Define and explain the basic concepts of mathematical analysis and linear algebra.
Course content
SETS AND SETS OF NUMBERS,
- FUNCTIONS: function definition, function domain,, function types, function composition, inverse function. Real functions: elementary functions, limits of function, continuity of function.
- DIFFERENTIAL CALCULUS: Problem of tangent and velocity, definition of derivation, derivation of elementary functions, derivation rules, differential function. Basic theorems of differential calculus, L'Hospital's rule, application of derivations to function flow examination, extremes of a function.
- INTEGRAL CALCULUS A definite integral. Darboux sums, mean value theorem. Indefinite integral and relation to derivation. Primitive function. Tabular integrals and integration rules. Substitution and integration by parts method.
- MATRIX ALGEBRA: matrix concept, matrix classification, arithmetic operations with matrices, vector space, inverse matrix, matrix rank, system of linear equations, Gauss - Jordan method, application of Gauss - Jordan method to inverse matrix calculation, quadratic matrix determinants, determinant properties, application of determinants to the calculation of the inverse matrix, Cramer's system of linear equations, inverse matrix, Gaussian elimination method, matrix rank, solving matrix equations, application of matrix calculus in economy.
