Bi8668 Mathematical analysis using MAPLE

Faculty of Science
Spring 2015
Extent and Intensity
0/2. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Jiří Hřebíček, CSc. (lecturer)
RNDr. Veronika Eclerová, Ph.D. (seminar tutor)
Mgr. et Mgr. Jiří Kalina, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Ladislav Dušek, Ph.D.
RECETOX – Faculty of Science
Contact Person: prof. RNDr. Jiří Hřebíček, CSc.
Supplier department: RECETOX – Faculty of Science
Timetable
Wed 8:00–9:50 F01B1/709
Prerequisites
Basic knowledge on mathematical analysis (functions, limits, derivatives, integrals).
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
At the end of the course students should be able to use the computer algebra system Maple to solve the mathematical analysis problems of one or more variables.
Syllabus
  • Introduction to Maple, worksheets and clickable mathematics
  • Expressions and their modifications.
  • Real functions of one variable, composite and inverse function.
  • Limit and continuity of real functions of one variable.
  • Derivative, differential, and Taylor polynomial.
  • Investigation of graphs of functions.
  • Primitive function, integral of a function.
  • Substitution method and integration by parts.
  • Riemann integral of functions of one variable. • Geometrical applications of the Riemann integral. • Improper integral.
  • Differential calculus of functions of several variables, partial derivatives, differential.
  • Extrema of functions of several variables.
  • Integral calculus of functions of several variables. Double and triple integrals, integrals depending on parameter.
  • Infinite series, criteria convergence.
  • Absolute convergence of series.
Literature
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. 1. dotisk 3. vyd. Brno: Masarykova univerzita, 2010, 144 pp. ISBN 978-80-210-4159-2. info
Teaching methods
The lecture is conducted by means of computer excersise. Students are firstly shown how to resolve given problems with the help of the system Maple. Students subsequently try their obtained knowledge on assigned exercises. There are also optional online Maple T.A. exercises and shor homeworks each week.
Assessment methods
In the semester's duration two unexcused absences are allowed. The requirement for the successful course completion is the attendance and gain at least 60% of points from homeworks and final test.
Language of instruction
Czech
Further Comments
Study Materials
The course is also listed under the following terms Spring 2016, Spring 2017, spring 2018, Spring 2019.
  • Enrolment Statistics (Spring 2015, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2015/Bi8668