Subject description - B0B01MVM

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B0B01MVM Calculus with Maple
Roles:  Extent of teaching:1P+1C+1D
Department:13101 Language of teaching:CS
Guarantors:Němeček A. Completion:Z
Lecturers:Němeček A. Credits:2
Tutors:Němeček A. Semester:Z,L

Anotation:

Computer algebra system Maple is used to demonstrate basic mathematical concepts that students encounter in subjects 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:

See Annotation.

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. Problem-oriented solving.

Literature:

[1] Maple User Manuals and Programming Guides, Maplesoft, a division of Waterloo Maple Inc., http://www.maplesoft.com/documentation_center/
[2] Heck, A.: Introduction to Maple, 2nd ed., Springer-Verlag, Berlin, 1996

Requirements:

The requirement for receiving the credit is an active participation in the tutorials.

Webpage:

http://math.feld.cvut.cz/nemecek/matvmap.html

Keywords:

Calculus, Maple, Linear Algebra

Subject is included into these academic programs:

Program Branch Role Recommended semester


Page updated 6.8.2020 17:51:45, semester: Z,L/2020-1, L/2019-20, Send comments about the content to the Administrators of the Academic Programs Proposal and Realization: I. Halaška (K336), J. Novák (K336)