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Lecturer(s)
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Tomovski Zhivorad, prof. Ph.D.
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Škorňa Stanislav, Mgr.
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Course content
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Mathematics as the Language of Science - Fundamentals of Linear Algebra - Vectors and linear transformations - Matrices and determinants Introduction to Calculus: Functions of Single Variable - Functions of a single variable, elementary functions - Limit and continuity of functions of a single variable - Derivative of a function, its applications, and Taylor expansion - Integral of a function of a single variable, indefinite integrals Introduction to Calculus: Multivariable Functions - Multivariable functions as a generalization of single-variable functions - Limit and continuity of multivariable functions - Partial and directional derivatives of multivariable functions - Integrals in multidimensional spaces
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Learning activities and teaching methods
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Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming), Demonstration, Group work
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Learning outcomes
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Understand the basic principles of defferential and integral calculus for functions of one and two variables.
Understanding of differential and integral calculus for functions of ona and two variables and the fundamentals of differential equations.
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Prerequisites
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Basic knowledge of mathematics at the pre-university level.
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Assessment methods and criteria
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Written exam
The course is concluded with a written examination. The requirements for successful completion are at least 80% attendance at practical classes and a score of more than 50% on the final written test, which focuses on solving specific problems.
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Recommended literature
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Kline, M. (1998). Calculus: An Intuitive and Physical Approach.
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Strang, G. (1991). Calculus.
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Strang, G. (2023). Introduction to Linear Algebra.
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Thomas, G. B. (1995). Calculus and analytic geometry.
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