Course detail

Mathematical Analysis 1

FIT-IMA1Acad. year: 2019/2020

Limit, continuity and derivative of a function. Extrema and graph properties. Approximation and interpolation. Indefinite and definite integrals.

Learning outcomes of the course unit

The ability to understand the basic problems of calculus
and use derivatives and integrals for solving specific problems.

Prerequisites

Secondary school mathematics.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Krupková, V., Fuchs, P., Matematická analýza pro FIT, elektronický učební text, 2013.
Knichal, V., Bašta, A., Pišl, M., Rektorys, K., Matematika I, II, SNTL Praha, 1966.
Edwards, C. H., Penney, D. E., Calculus with Analytic Geometry, Prentice Hall, 1993.
Fong, Y., Wang, Y., Calculus, Springer, 2000.
Ross, K. A., Elementary analysis: The Theory of Calculus, Springer, 2000.
Small, D. B., Hosack, J. M., Calculus (An Integrated Approach), Mc Graw-Hill Publ. Comp., 1990.
Thomas, G. B., Finney, R. L., Calculus and Analytic Geometry, Addison-Wesley Publ. Comp., 1994.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Written tests during the semester (maximum 30 points).

Exam prerequisites:
At least 10 points from the tests during the semester.

Language of instruction

Czech, English

Work placements

Not applicable.

Aims

The main goal of the course is to explain the basic principles and methods of calculus. The emphasis is put on handling the practical use of these methods for solving specific tasks.

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

Classes are compulsory (presence at lectures, however, will not be controlled), absence at numerical classes has to be excused.

Classification of course in study plans

  • Programme BIT Bachelor's, 1. year of study, summer semester, 4 credits, compulsory

  • Programme IT-BC-3 Bachelor's

    branch BIT , 1. year of study, summer semester, 4 credits, compulsory

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

seminars in computer labs

26 hours, compulsory

Teacher / Lecturer

Syllabus

Problems discussed at numerical classes are chosen so as to complement suitably the lectures.

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