FI:M000 Calculus I - Course Information

M000 Calculus I

Extent and Intensity

3/0. 3 credit(s). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).

Teacher(s)

prof. RNDr. Ondřej Došlý, DrSc. (lecturer)

Guaranteed by

Contact Person: prof. RNDr. Ondřej Došlý, DrSc.

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

• Informatics (programme FI, B-IN)
• Informatics (programme FI, M-IN)
• Upper Secondary School Teacher Training in Informatics (programme FI, M-IN)
• Upper Secondary School Teacher Training in Informatics (programme FI, M-SS)
• Information Technology (programme FI, B-IN)

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.

Language of instruction

Czech

• Enrolment Statistics (Autumn 1997, recent)
  
• Permalink: https://is.muni.cz/course/fi/autumn1997/M000