Course detail

# Mathematics 2

This course follows Mathematics I course. The material covered is the integral of functions of one variable, differential equations, linear algebra, and functions of more variables.

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 and successful completion of the course “Mathematics I”.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Mezník,I.: Matematika II. FP VUT v Brně, Brno 2009 (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 a control test marked at least with “E”.

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.Calculation of a value of a partial compound function derivation in a given point (15 points).
2.Calculation of an integral using basic formulas (15 points).
3.Calculation of an integral using a recommended method (15 points).
4.Calculation of the area of a plane figure (15 points).
5.Solution to a differential equation (10 points).
6.Task regarding functions of two variables (extrema, differential, partial derivatives and
their interpretations (15 points).
7.Task regarding linear algebra (15 points).
Other conditions include: being awarded at least 1 point in each of the above tasks.
The written part is marked in points and reflects the points achieved in individual tasks. 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 is 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.Indefinite integral
2.Definite integral
3.Differential equations
4.Matrices and determinants
5.Systems of linear equations
6.Functions of more variables,basic concepts
7.Extrema

Aims

The aim of the course is to build up mathematical tools (integral of functions of one variable,differential equations, linear algebra and functions of more variables) necessary for the instruction of specialized courses.

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, summer semester, 5 credits, compulsory

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise

26 hours, compulsory

Teacher / Lecturer