NAME OF THE COURSE 
Mathematics 2 
Code 

Course teacher 
ScM Branka Gotovac 
Credits (ECTS) 
7.0 

Associate teachers 
Lucija Ružman 
Type of instruction (number of hours) 


Status of the course 
Mandatory 
Percentage of application of elearning 
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 firstorder differential equations (variables separable, homogeneous differential equations, linear differential equations, exact differential equations)  solve the secondorder 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. Firstorder differential equations. 14. Secondorder 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 
2.6 
Research 
0.0 
Practical training 
0.0 
Experimental work 
0.0 
Report 
0.0 


Essay 
0.0 
Seminar essay 
0.0 


Tests 
1.8 
Oral exam 
1.3 


Written exam 
1.3 
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. (http://lavica.fesb.hr/mat2) 
0 


Optional literature (at the time of submission of study programme proposal) 
S. Kurepa, Matematička analiza I i II dio, Školska knjiga, Zagreb, 1997. HughesHallett, Gleason et al., Calculus, John Wiley and Sons, Inc., New York, 2000. McCallum, HughesHallett, 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) 
