Subject description - B0B01MVM

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B0B01MVM Calculus with Maple
Roles:  Extent of teaching:1P+1C+1D
Department:13133 Language of teaching:CS
Guarantors:Němeček A. Completion:Z
Lecturers:Němeček A. Credits:2
Tutors:Němeček A. Semester:L


Computer algebra system Maple is used to demonstrate basic mathematical concepts that students encounter in courses Mathematics 1 (BE5B01MA1) and Introductory Algebra (BE5B01LAG). Seminars provide both computational and graphical examples with particular emphasis on problems whose solution without Maple is either difficult or impossible.

Study targets:

The course acquaints students with the basics of work in the computer algebraic system Maple; solves problem-oriented problems and clearly complements theoretical knowledge and numerical skills from basic mathematics courses (calculus, linear algebra) and opens the way to polytechnic education according to the STEM concept (Science, Technology, Engineering, Mathematics) , including further extension to STEAM (A - arts, ability to create, formulate, present).

Course outlines:

The lecture is intertwined with exercise.

Exercises outline:

1. Principles of program Maple.
2. Introduction to Maple.
3. Polynomials, roots of polynomials.
4. Problem-oriented solving.
5. Real functions and their limits, continuity, derivatives.
6. Problem-oriented solving.
7. Matrices, operations with matrices, determinants, inverse matrices.
8. Problem-oriented solving.
9. Local extrema and graphing. Applications of differentiation.
10. Problem-oriented solving.
11. Systems of linear equations. Free vectors, dot product, cross product. Linear figures in in three-dimensional Euclidean space.
12. Problem-oriented solving.
13. Indefinite and definite integral, applications of integration.
14. Agreement on the topic of credit work.


[1] Maple User Manuals and Programming Guides, Maplesoft, a division of Waterloo Maple Inc.,


The requirement for receiving the credit is active participation in seminars and presentation of credit work during the exam period.



Maple, Mathematics, Calculus, Linear Algebra

Subject is included into these academic programs:

Program Branch Role Recommended semester

Page updated 23.5.2022 12:51:39, semester: Z,L/2021-2, Z/2022-3, Z/2024-5, L/2022-3, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)