Course detail

Calculus with MAPLE

FSI-0MVAcad. year: 2022/2023

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 and engineering.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

doc. Ing. Petr Tomášek, Ph.D.

Department

Institute of Mathematics (ÚM)

Learning outcomes of the course unit

Students will gain knowledge of basic Maple commands, Maple structure, Input, Output and interaction with other products. 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, basics of PC computing skills.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

The course takes place in the computer lab. Lectures are focused on practical exercises in the Maple environment.

Assesment methods and criteria linked to learning outcomes

A credit can be earned on the basis of successfully solved individual tasks and active exercise attendance.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The aim of the course is to familiarise students with the computational system Maple, which is a powerful tool for solving mathematical and engineering problems. The course aims to guide students to the ability of an independent work in the 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.

Specification of controlled education, way of implementation and compensation for absences

Students are required to complete the assigned tasks.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

https://www.maplesoft.com/documentation_center/maple2020/UserManual.pdf (EN)
http://www.maplesoft.cz/zakaznicka-podpora/navody-a-publikace/ (CS)

Recommended reading

Buchar, J.: Úvod do programového souboru MAPLE V, , 0
www.maplesoft.com, Maplesoft, a division of Waterloo Maple Inc., dokumentace.

Classification of course in study plans

  • Programme B-FIN-P Bachelor's 1 year of study, summer semester, elective
  • Programme B-MAI-P Bachelor's 1 year of study, summer semester, elective
  • Programme BIT Bachelor's 1 year of study, summer semester, elective
  • Programme BIT Bachelor's 1 year of study, summer semester, elective

Type of course unit

 

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Petr Tomášek, Ph.D.

Syllabus

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.