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Lecturer(s)
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Course content
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Sequences and their basic properties. Operations with sequences. Limit of a sequence. Real functions of a single real variable - properties of functions, operations with functions. Limit of a function - definition of limit and its calculation. Function continuity. Function derivatives - definition and their geometric and economic significance. Calculation of derivatives. Application of function derivatives, optimization problems. Indefinite integral and methods of computation. Definite integral and its applications. Differential equations - basic concepts and methods for solving first-order differential equations. Higher-order differential equations. Application in economic problems. Vectors, matrices, and operations with them. Systems of linear equations and their solutions. Determinants. Inverse matrices and applications of matrix calculus.
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Learning activities and teaching methods
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- Preparation for formative assessments (2-20)
- 20 hours per semester
- Preparation for an examination (30-60)
- 45 hours per semester
- Contact hours
- 65 hours per semester
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| prerequisite |
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| Knowledge |
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| employing mathematical concepts and procedures within the scope of high school curriculum |
| to think logically and not harbor negative prejudices towards mathematics |
| recognize basic types of functions, their most important properties, and draw graphs of these functions (linear, quadratic, exponential, logarithmic, linear rational) |
| Skills |
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| to perform calculations with algebraic expressions |
| to not have a negative attitude towards abstract thinking |
| to solve linear and quadratic equations and inequalities |
| Competences |
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| N/A |
| N/A |
| learning outcomes |
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| Knowledge |
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| mathematical terms and procedures from the areas of mathematics listed in the course syllabus |
| selected applications of mathematical methods and approaches in modeling economic phenomena |
| Skills |
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| applying the principles of differential and integral calculus to model simple types of problems |
| applying the principles of matrix calculus to model simple types of problems |
| correctly applying both the formal and substantive aspects in mathematical expression, both in written and oral form |
| Competences |
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| N/A |
| N/A |
| teaching methods |
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| Knowledge |
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| Lecture |
| Practicum |
| Self-study of literature |
| Skills |
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| Lecture |
| Practicum |
| Self-study of literature |
| Competences |
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| Lecture |
| Practicum |
| Self-study of literature |
| assessment methods |
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| Knowledge |
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| Combined exam |
| Test |
| Skills |
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| Combined exam |
| Test |
| Competences |
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| Combined exam |
| Test |
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Recommended literature
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Anton, H.; Rorres, Ch. Elementary Linear Algebra: Applications Version. Wiley, 2013. ISBN 978-1118434413.
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Canuto, Claudio. Mathematical analysis I. New York : Springer, 2008. ISBN 978-88-470-0875-5.
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Teschl, Gerald. Ordinary differential equations and dynamical systems. Providence : American Mathematical Society, 2012. ISBN 978-0-8218-8328-0.
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Thomson, Brian S.; Bruckner, Judith B.,; Bruckner, Andrew M. Elementary real analysis. Second edition. 2008. ISBN 978-1-4348-4367-8.
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Watkins, David S. Fundamentals of matrix computations. 2nd ed. New York : John Wiley & Sons, 2002. ISBN 0-471-21394-2.
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