Calculus with MAPLE (FSI-0MV)

Academic year 2018/2019
Supervisor: doc. Ing. Petr Tomášek, Ph.D.  
Supervising institute: ÚM all courses guaranted by this institute
Teaching language: Czech
Aims of the course unit:
The aim of the course is to familiarise students with the computational system Maple, which is powerful tool for solving mathematical and engineering problems. The course aims to guide students to the ability of an independent work in Maple environment so as they could deepen their knowledge depending on their individual needs. Moreover, students will learn to analyze and solve some practical problems in single-handed projects.
Learning outcomes and competences:
Students will gain knowledge of basic Maple commands, Maple structure, Input, Output and interacting with other products. Moreover, students will master solving mathematical and engineering problems in this computational environment.
Prerequisites:
Students are expected to have the knowledge of mathematics at the secondary school level, basic PC Computing skills.
Course contents:
The course deals with the computational system Maple for Symbolic Computation in Calculus, Combinatorics, Linear Algebra, Numerical Analysis and other parts of Mathematics. The subject matter consists of orientation in Maple environment, basic commands, programming, working with packages and solving particular mathematical problems and applications in physics.
Teaching methods and criteria:
The course is taught through exercises which are focused on practical topics presented in lectures.
Assesment methods and criteria linked to learning outcomes:
Optional course with no credits to be awarded.
Controlled participation in lessons:
Students are required to complete the assigned tasks.
Type of course unit:
    Computer-assisted exercise  13 × 2 hrs. compulsory                  
Course curriculum:
    Computer-assisted exercise Classwork is realized as a discussion between the lecturer and students.
1. Introduction to Maple.
2. Factorization and solving equations, function behaviour.
3. Graphics, animations.
4. Maple basic programming.
5. Packages, application in physics.
6. Object inserting, Spreadsheet manipulation.
7. Code edit region, application in physics.
8. Components, application development I.
9. Components, application development II.
10. Solving of mathematical problems I.
11. Solving of mathematical problems II.
12. Maplet.
13. Project development.
Literature - fundamental:
2. http://www.maplesoft.cz/zakaznicka-podpora/navody-a-publikace/
Literature - recommended:
1. Buchar, J.: Úvod do programového souboru MAPLE V, , 0
2. www.maplesoft.com, Maplesoft, a division of Waterloo Maple Inc., dokumentace.
The study programmes with the given course:
Programme Study form Branch Spec. Final classification   Course-unit credits     Obligation     Level     Year     Semester  
B3A-P full-time study B-MAI Mathematical Engineering -- Cr 0 Elective (voluntary) 1 1 S
B3A-P full-time study B-FIN Physical Engineering and Nanotechnology -- Cr 0 Elective (voluntary) 1 1 S
B3S-P full-time study B-STI Fundamentals of Mechanical Engineering -- Cr 0 Elective (voluntary) 1 2 S