CTU FEE Moodle
Calculus with Maple
B232 - Summer 23/24
Calculus with Maple - B0B01MVM
| Credits | 2 |
| Semesters | Summer |
| Completion | Assessment |
| Language of teaching | Czech |
| Extent of teaching | 1P+1C+1D |
Annotation
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.
Study targets
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).
Course outlines
The lecture is intertwined with exercise.
Exercises outlines
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.
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.
Literature
[1] Maple User Manuals and Programming Guides, Maplesoft, a division of Waterloo Maple Inc., http://www.maplesoft.com/documentation_center/
Requirements
The requirement for receiving the credit is active participation in seminars and presentation of credit work during the exam period.