Mathematics

NAME OF THE COURSE Mathematics

Code

KTK101

Year of study

1.

Course teacher

Assoc Prof Tanja Vučičić

Credits (ECTS)

8.0

Associate teachers

Lucija Ružman

Type of instruction (number of hours)

P S V T

30

45

0

0

Status of the course

Mandatory

Percentage of application of e-learning

0 %

COURSE DESCRIPTION

Course objectives

To introduce students to the basic elements of calculus and linear algebra.

Course enrolment requirements and entry competences required for the course

 

Learning outcomes expected at the level of the course (4 to 10 learning outcomes)

After finishing this course the student is expected to be able to:
- identify and sketch graphs of elementary functions, to determine the domain of the given function
- find the derivative of the given function
- apply the dervative in practice (tangents and normals, maximum, minimum and inflection points) and to interpret the shape of graphs
- apply the techniques of integration (integration by substitution, integration by parts)
- use the definite integral in its geometrical applications
- solve the system of linear equations (by matrix inversion, by Gaussian elimination)

Course content broken down in detail by weekly class schedule (syllabus)

1. Sets: Notion. Algebra of sets. Sets of numbers.
2. Functions: Notion. Composite functions. Inverse function.
3. Elementary functions.
4. Sequences: Notion. Limits. Functions: Limits. Continuity.
5. Derivative and application: Notion. Interpretation. Derivative techniques.
6. Differential. Higher order derivatives.
7. Theorems of differential calculus. Maximum, minimum points.
8. Inflection points. Asymptotes. Graphs sketching.
9. Integral and its application: Indefinite integral. Techniques of integration.
10. Definite integral.
11. Application of definite integral.
12. Matrices and vectors: Matrix algebra. Determinants. Inverse matrix.
13. Linear systems of equations.
14. Vector algebra.
15. Course review. Revision.

Format of instruction:

Student responsibilities

Regular attendance of classes.

Screening student work (name the proportion of ECTS credits for eachactivity so that the total number of ECTS credits is equal to the ECTS value of the course):

Class attendance

3.0

Research

0.0

Practical training

0.0

Experimental work

0.0

Report

0.0