Calculus with Maple

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).

Garant předmětu:

Lecturer:

Tutor:

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

No time-table has been prepared for this course

The course is a part of the following study plans: