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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

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 Mathematics
Synopsis:

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.

Requirements:

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

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. Problem-oriented solving.

Study Objective:

See Annotation.

Study materials:

[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

Note:
Further information:
http://math.feld.cvut.cz/nemecek/matvmap.html
Time-table for winter semester 2019/2020:
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:C4-459

11:00–11:45
(lecture parallel1)
Dejvice
Laborator počítače
roomT2:C4-459

11:45–12:30
(lecture parallel1
parallel nr.101)

Dejvice
Laborator počítače
roomT2:C4-459
Němeček A.
13:30–14:15
(lecture parallel2
parallel nr.201)

Dejvice
Laborator počítače
roomT2:C4-459
Němeček A.
12:45–13:30
(lecture parallel2)
Dejvice
Laborator počítače
Fri
Thu
Fri
Time-table for summer semester 2019/2020:
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:C4-459
Němeček A.
14:30–15:15
(lecture parallel1)
Dejvice
Laborator počítače
roomT2:C4-459
Němeček A.
15:15–16:00
(lecture parallel1
parallel nr.101)

Dejvice
Laborator počítače
Fri
Thu
Fri
The course is a part of the following study plans:
Data valid to 2020-08-09
For updated information see http://bilakniha.cvut.cz/en/predmet5375206.html