Course detail

Mathematics 1

FP-MA1_MAcad. year: 2017/2018

The subject is a part of theoretical fundamentals. The aim is to manage calculations with numeric variables (including the use of IT) and the analysis of functions of one real variable, including their applications in economic disciplines.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Learning outcomes of the course unit

Acquired knowledge and practical mathematical skills will be an important starting point for mastering new knowledge in the follow-up courses of mathematical character; they will also be essential for acquiring knowledge in courses on economy and for the correct use of mathematical software.

Prerequisites

Knowledge of secondary-school mathematics.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Instructing is divided into lectures and exercises. Lectures are focused on the theory referring to applications, exercises on practical calculations and solving of application tasks.

Assesment methods and criteria linked to learning outcomes

Conditions for awarding course-unit credits:
- active participation in the seminars where the attendance is compulsory,
- fulfilment of individual tasks and successful completion of written assignments,
- completion of partial written test´s (more than 50% points)
Awarding of course-unit is a necessary condition to be admitted to the exam.
The exam has a written and an oral part with the written part being more important. The written part takes two hours.

The written exam is followed by an oral exam which does not take more than 10 minutes. Its main objective is to make the classification more accurate. In the oral exam, the student informed about the results achieved in the individual tasks of the written exam. Possible discrepancies in the written part can be solved in the oral exam. If appropriate, additional questions can be placed, and the student is given time to prepare.

Course curriculum

1.Basic mathematical concepts
2.Numbers
3.Functions and operations with functions
4.Elementary functions
5.Limit and continuity
6.Derivative and diferential
7.Course of function
8. L'Hospital rule and Taylor formula
9. Indefinite integral
10. Methods of integration
11. Definite integral

Work placements

Not applicable.

Aims

The aim is for students to master numerical calculations (including the use of IT) and the analysis of functions of one real variable, including their economic applications.

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

Attendance at lectures is not controlled. Attendance at exercises (seminars) is compulsory and is regularly checked. A student is obliged to give reasons for his/her absence. If the teacher accepts the reason for the absence (which is completely under his/her competence), he/she will decide about the form of the compensation for the missed lessons.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Marošová,M.,Mezník,I.:Cvičení z matematiky I. FP VUT v Brně, Brno 2008 (CS)
Mezník,I.: Matematika II.FP VUT v Brně, Brno 2009 (CS)
Mezník, I: Diskrétní matematika. FP VUT v Brně v Akademickém nakladatelství CERM, s.r.o. Brno, Brno 2004. ISBN 80-214-2754-X. (CS)
Mezník,I.:Matematika I. FP VUT v Brně, Brno 2008 (CS)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme BAK-MIn Bachelor's

    branch BAK-MIn , 1. year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hours, compulsory

Teacher / Lecturer

Syllabus

-basic mathematical concepts,
-numbers,
-analysis of a function of one real variable.

Exercise

13 hours, compulsory

Teacher / Lecturer

Syllabus

-solving of problems concerning the topics of lectures,
-writing up individual tasks.