Course detail

# Mathematics 1

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

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.

Recommended optional programme components

Not applicable.

Mezník,I.:Matematika I.FP VUT v Brně v Akademickém nakladatelství CERM, s.r.o. Brno,Brno 2008 (CS)
Marošová, M., Mezník,I.: Cvičení z matematiky I. FP VUT v Brně v Akademickém nakladatelství CERM, s.r.o.Brno, Brno 2008 (CS)

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 marked at least with “E”.
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 and contains the following types of tasks with maximum points awarded in brackets:

1. Drafting a graph function (13 points).
2. Calculation of a value of a derivative in a given point (14 points).
3. Determining a hypothesis on a function limit and calculation of the limit using basic formulas (11 points).
4. Task regarding combinatorics (11 points).
5. Task regarding economic or geometric application of derivation or differential (11 points).
6. Determining a course of a function-polynomial of the third degree (40 points).

Other conditions include: achieving at least 30 points in tasks 1-5 together and at least 20 points in task 6 and no more than one tasks is awarded "0" points.
The written part is marked in points and reflects the points achieved in individual tasks. If any task is marked "0" then the student can not obtain grades A,B,C. If the student does not achieve at least 50 points out of 100 or if any other condition is not satisfied, the written part of the exam and the whole exam will be graded as “F” (failed) and the student cannot proceed to the oral part. Grading of the written part is as follows: “A” is awarded for 90–100 points, “B” for 80-89 points, “C” for 70-79 points, “D” for 60-69 points, “E” for 50-59 points.

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.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1.Basic mathematical concepts
2.Numbers
3.Combinatorics
4.Functions
5.Operations with functions
6.Elementary functions
7.Limit and continuity
8.Derivative and diferential
9.Course of function

Aims

The aim is for students to master numerical calculations (including the use of IT), combinatorics, 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.

Classification of course in study plans

• Programme BAK Bachelor's

branch BAK-EPM , 1. year of study, winter semester, 5 credits, compulsory

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise

26 hours, compulsory

Teacher / Lecturer