Calculus with Maple

Relations:

It is not possible to register for the course B0B01MVM if the student is concurrently registered for or has already completed the course B4B01NUM (mutually exclusive courses).

Course guarantor:

Aleš Němeček

Lecturer:

Aleš Němeček

Tutor:

Aleš Němeček

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 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

	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	room412 - online Němeček A. 14:30–15:15 (lecture parallel2 parallel nr.202) Dejvice roomT2:A3-412 Němeček A. 16:15–17:00 (lecture parallel1 parallel nr.101) Dejvice roomT2:A3-412 Němeček A. 14:30–15:15 (lecture parallel1) Dejvice roomT2:A3-412 Němeček A. 15:15–16:00 (lecture parallel1 parallel nr.101) Dejvice room412 - online Němeček A. 16:15–17:00 (lecture parallel2 parallel nr.201) Dejvice room412 - online Němeček A. 14:30–15:15 (lecture parallel2) Dejvice room412 - online Němeček A. 15:15–16:00 (lecture parallel2 parallel nr.201) Dejvice roomT2:A3-412 Němeček A. 15:15–16:00 (lecture parallel1) Dejvice room412 - online Němeček A. 15:15–16:00 (lecture parallel2) Dejvice
Wed
Thu
Fri

The course is a part of the following study plans: