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Mathematical Analysis with Maple

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Course Unit Code470-2109/04
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *Second Year
Semester when the Course Unit is deliveredSummer Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
VOD03doc. Mgr. Petr Vodstrčil, Ph.D.
Summary
The first lesson will be devoted to introduction to the Maple program and its user interface. In addition, students will learn the various commands and mathematical functions. The core of the course will be mathematical analysis, i.e. the calculation of limits, derivatives, integrals, differential equations and graphics (drawing 2D and 3D graphs, parametric curves, implicit functions and animations). The last part will be devoted to Maple programming language and creating functions and procedures.
Learning Outcomes of the Course Unit
The aim is to learn to work with Maple (symbolic computation system) and use it to solve problems of mathematical analysis.
Course Contents
Introduction to user interface.
The basic commands, operations and help.
Mathematical functions and mathematical expressions.
Solving equations and inequalities.
Mathematical analysis (limits, derivatives, integrals, differential equations).
Graphics (2D and 3D graphs, graphs of implicit functions, parametric curves, animations).
Maple programming language, creating functions and procedures.
Recommended or Required Reading
Required Reading:
http://www.maplesoft.com/documentation_center
http://www.fi.muni.cz/~hrebicek/maple/cas/cas.pdf
Recommended Reading:
http://www.maplesoft.com/documentation_center
http://www.fi.muni.cz/~hrebicek/maple/cas/cas.pdf
Planned learning activities and teaching methods
Lectures, Tutorials, Project work
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Graded creditGraded credit100 51