Czech

Not applicable.

Students should be able to work with expressions and elementary functions within the scope of standard secondary school requirements; in particular, they shoud be able to transform and simplify expressions, solve basic equations and inequalities, and find the domain and the range of a function.

Maximum 30 points during the semester (for one project and two tests). To get the course-unit credit, student must gain at least 10 points.

There is only written exam for maximum 70 points.
The content and forms of instruction in the evaluated course are specified by a regulation issued by the lecturer responsible for the course and updated for every academic year.

The main goal of the calculus course is to explain the basic principles and methods of higher mathematics that are necessary for the study of electrical engineering. The practical aspects of application of these methods and their use in solving concrete problems (including the application of contemporary mathematical software) are emphasized.
After completing the course, students should be able to:

- decide whether vectors are linearly independent and whether they form a basis of a vector space;
- add and multiply matrices, compute the determinant of a square matrix to the 4x4 type, compute the rank and the inverse of a matrix;
- solve a system of linear equations;
- estimate the domains and sketch the grafs of elementary functions;
- compute limits and asymptots for the functions of one variable, use the L’Hospital rule to evaluate limits;
- differentiate and find the tangent to the graph of a function, find the Taylor ploynomial of a function near a given point;
- sketch the graph of a function including extrema, points of inflection and asymptotes;
- integrate using technics of integration, such as substitution, partial fractions and integration by parts;
- evaluate a definite integral including integration by parts and by a substitution for the definite integral;
- compute the area of a region using the definite integral, evaluate the inmproper integral;
- discuss the convergence of the number series, find the
set of the convergence for the power series.

Not applicable.

Not applicable.

Brabec, B., Hrůza, B., Matematická analýza II, SNTL, Praha, 1986. (CS)
Kolářová, E., Matematika 1 - Sbírka úloh, 2010, s.1-73. (CS)
Krupková, V., Fuchs, P. ,Matematika 1 (Elektrotechnika, elektronika, komunikační a řídicí technika), VUT Brno, FEKT, UMAT, 2014. s. 1-311 (CS)
Švarc, S. a kol., Matematická analýza I, PC DIR, Brno, 1997. (CS)

Fong, Y., Wang, Y., Calculus, Springer, ISBN‎ 978-9813083011, 2000. (EN)
Goldstein, L.J., Lay, D.C., Schneider, D.I., Asmar, N.H., Calculus & Its Applications, 14th edition, Pearson, ISBN 978-0137400096, 2020. (EN)
Hoffmann, L., Bradley, G., Sobecki, D., Price, M., Applied Calculus for Business, Economics, and the Social and Life Sciences, Expanded 11-th Edition, McGraw-Hill Education, ISBN 978-0073532370, 2012. (EN)
Lial, M.L., Greenwell, R.N., Ritchey, N.P., Calculus with Applications, 11-th edition, Pearson, ISBN 978-0321979421, 2015. (EN)
Ross, K.A., Elementary analysis: The Theory of Calculus, 2nd edition, Springer, ISBN 978-1461462705, 2013. (EN)
Thomas, G.B., Finney, R.L., Calculus and Analytic Geometry, 9th edition, Addison-Wesley Publ. Comp., ISBN 978-0201531749, 1995. (EN)