FI:MB000 Calculus I - Course Information
MB000 Calculus I
Faculty of InformaticsAutumn 2011
- Extent and Intensity
- 2/2. 4 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
- Teacher(s)
- doc. RNDr. Bedřich Půža, CSc. (lecturer)
doc. RNDr. Ladislav Adamec, CSc. (seminar tutor)
Mgr. Kateřina Hanžlová (seminar tutor) - Guaranteed by
- doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Contact Person: doc. RNDr. Bedřich Půža, CSc. - Timetable
- Wed 8:00–9:50 A107
- Timetable of Seminar Groups:
MB000/02: Tue 16:00–17:50 G124, L. Adamec
MB000/03: Tue 18:00–19:50 G123, L. Adamec - Prerequisites
- no
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Public Administration Informatics (programme FI, B-AP)
- Mathematical Biology (programme PřF, B-BI)
- Mathematical Informatics (programme FI, B-IN)
- Parallel and Distributed Systems (programme FI, B-IN)
- Computer Networks and Communication (programme FI, B-IN)
- Embedded Systems (programme FI, N-IN)
- Service Science, Management and Engineering (programme FI, N-AP)
- Social Informatics (programme FI, B-AP)
- Artificial Intelligence and Natural Language Processing (programme FI, B-IN)
- Course objectives
- It is the first course of the mathematical analysis that is devoted to the differential and integral calculus of functions of one variable. After passing the course, the student will be able: to define and interpret the basic notions used in the basic parts of Mathematical analysis and to explain their mutual context; to formulate relevant mathematical theorems; to use effective techniques utilized in basic fields of analysis; to apply acquired pieces of knowledge for the solution of specific problems including problems of applicative character.
- Syllabus
- Real numbers.
- Basic properties of real functions of one variable, composite and inverse function.
- Real sequences, limits and cluster points.
- Limit of real functions of one variable.
- Derivative and differential.
- Derivatives of elementary functions.
- Investigation of graphs of functions.
- Primitive function.
- Substitution method and integration by parts.
- Riemann integral of functions of one variable.
- Geometrical and physical applications of the Riemann integral.
- Improper integrals.
- Literature
- NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
- FUCHSOVÁ, Libuše. Matematická analýza. Vyd. 2. Brno: Masarykova univerzita, 1992, 116 s. ISBN 8021005149. info
- NOVÁK, Vítězslav. Integrální počet v R. 2. vyd. Brno: Masarykova univerzita, 1994, 148 s. ISBN 8021009918. info
- Teaching methods
- theoretical preparation, exercise
- Assessment methods
- Form: lectures and exercises. Exam: written. Requirements: to manage the theory from the lecture, to be able to solve the problems similar to those from exercises
- Language of instruction
- Czech
- Follow-Up Courses
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/fi/autumn2011/MB000