Calculus with Maple
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. Problemoriented solving.
5. Real functions and their limits, continuity, derivatives.
6. Problemoriented solving.
7. Matrices, operations with matrices, determinants, inverse matrices.
8. Problemoriented solving.
9. Local extrema and graphing. Applications of differentiation.
10. Problemoriented solving.
11. Systems of linear equations. Free vectors, dot product, cross product. Linear figures in in threedimensional Euclidean space.
12. Problemoriented 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 problemoriented 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
 Timetable for winter semester 2021/2022:
 Timetable is not available yet
 Timetable 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 Wed Thu Fri  The course is a part of the following study plans: