Mathematics 2

NAME OF THE COURSE Mathematics 2

Code

KTA106

Year of study

1.

Course teacher

ScM Branka Gotovac

Credits (ECTS)

6.0

Associate teachers

Lucija Ružman

Type of instruction (number of hours)

P S V T

45

30

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 integral calculus, differential calculus of several variables and the basic of differential equations.

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:
- apply the techniques of integration (integration by substitution, integration by parts)
- use the definite integral in its geometrical applications
- solve the first-order differential equations (variables separable, homogeneous differential equations, linear differential equations, exact differential equations)
- solve the second-order linear nonhomogeneous differential equations with constant coefficients

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

1. Indefinite integral. Table of integrals.
2. Integration by substitution. Integration by parts.
3. Integrating rational fractions. Integrating by algebraic substitution.
4. Definite integral.
5. Improper integrals.
6. Application of definite integral.
7. Functions of several variables. Limit and continuity.
8. Partial derivatives. Differential.
9. Tangent plane and normal line. Maxima and minima.
10. Double integrals.
11. Geometric application of double integrals.
12. Ordinary differential equations.
13. First-order differential equations.
14. Second-order differential equations.
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

2.3

Research

0.0

Practical training

0.0

Experimental work

0.0

Report

0.0

 

 

Essay

0.0

Seminar essay

0.0

 

 

Tests

1.5

Oral exam

1.1

 

 

Written exam

1.1

Project

0.0

 

 

Grading and evaluating student work in class and at the final exam

Required literature (available in the library and via other media)

Title

Number of copies in the library

Availability via other media

T. Bradić, R. Roki et. al., Matematika za tehnološke fakultete, Element, Zagreb (više izdanja)

47

B.P. Demidovič, Zadaci i riješeni primjeri iz više matematike, Tehnička knjiga, Zagreb (više izdanja)

5

I. Slapničar, Matematika 2, Fakultet elektrotehnike, strojarstva i brodogradnje Sveučilišta u Splitu, Split, 2008.

0

http://lavica.fesb.hr/mat2

Optional literature (at the time of submission of study programme proposal)

S. Kurepa, Matematička analiza I i II dio, Školska knjiga, Zagreb, 1997.
Hughes-Hallett, Gleason et al., Calculus, John Wiley and Sons, Inc., New York, 2000.
McCallum, Hughes-Hallett, Gleason et al., Multivariable Calculus, John Wiley and Sons, Inc., New York, 2002.

Quality assurance methods that ensure the acquisition of exit competences

Quality assurance will be performed at three levels:
(1) University Level; (2) Faculty Level by Quality Control Committee; (3) Lecturer’s Level.

Other (as the proposer wishes to add)