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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2021/2022

Calculus with Maple

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Code Completion Credits Range Language
B0B01MVM Z 2 1P+1C+1D Czech
The course cannot be taken simultaneously with:
Numerical Analysis (B4B01NUM)
Lecturer:
Aleš Němeček (guarantor)
Tutor:
Aleš Němeček (guarantor)
Supervisor:
Department of Cybernetics
Synopsis:

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.

Requirements:

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

Syllabus of lectures:

The lecture is intertwined with exercise.

Syllabus of tutorials:

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.

Study Objective:

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).

Study materials:

[1] Maple User Manuals and Programming Guides, Maplesoft, a division of Waterloo Maple Inc., http://www.maplesoft.com/documentation_center/

Note:
Further information:
https://youtu.be/GELEGYJLHuw
Time-table for winter semester 2021/2022:
Time-table is not available yet
Time-table for summer semester 2021/2022:
06:00–08:0008:00–10:0010:00–12:0012:00–14:0014:00–16:0016:00–18:0018:00–20:0020:00–22:0022:00–24:00
Mon
Tue
roomT2:C3-135
Němeček A.
14:30–15:15
(lecture parallel1)
Dejvice
T2:C3-135
roomT2:C3-135
Němeček A.
15:15–16:00
(lecture parallel1
parallel nr.101)

Dejvice
T2:C3-135
roomT2:A3-412
Němeček A.
14:30–15:15
(lecture parallel1)
Dejvice
Laborator
roomT2:A3-412
Němeček A.
15:15–16:00
(lecture parallel1
parallel nr.101)

Dejvice
Laborator
room412 - online
Němeček A.
14:30–15:15
(lecture parallel2)
Dejvice
Hybridní výuka
room412 - online
Němeček A.
15:15–16:00
(lecture parallel2
parallel nr.201)

Dejvice
Hybridní výuka
Wed
room412 - online
Němeček A.
18:00–18:45
(lecture parallel2
parallel nr.202)

Dejvice
Hybridní výuka
Thu
Fri
The course is a part of the following study plans:
Data valid to 2022-08-08
For updated information see http://bilakniha.cvut.cz/en/predmet5375206.html