NAME OF THE COURSE 
Mathematics 
Code 

Course teacher 
ScM Branka Gotovac 
Credits (ECTS) 
8.0 

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 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:  identify and sketch graphs of elementary functions, to determine the domains of more complex functions  find the derivatives of the given functions  know the graphical applications of the dervative (tangents and normals, maximum, minimum and inflection points, sketching and interpreting graphs)  know techniques of integration (integration by substitution, integration by parts)  use the definite integral applications to geometry  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. 2. Number sets. 3. Functions: Notion. Inverse function. 4. Elementary functions. Limits. 5. Continuity. Sequences: Notion. Limits. 6. Derivative and application: Notion. Interpretation. Derivation techniques. 7. Differential. Higher order derivatives. 8. Theorems of differential calculus. Maximum, minimum points. 9. Inflection points. Asymptotes. Curve sketching. 10. Integral and application: Indefinite integral. Techniques of integration. 11. Definite integral. 12. Using the definite integral. 13. Matrices and vectors: Matrix algebra. Determinants. Inverse matrix. 14. Linear systems of equations. 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 


Essay 
0.0 
Seminar essay 
0.0 


Tests 
2.0 
Oral exam 
1.5 


Written exam 
1.5 
Project 
0.0 



Grading and evaluating student work in class and at the final exam 
Taking exams: during classes (1.) and after classes, in examination schedules (2.). 1. points condition tests 3x30 39 activity 10 total 100 46 2. Students have to pass an oral exam after passing the written exam (at least 50% of the total number of points). 
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 


Optional literature (at the time of submission of study programme proposal) 
S. Kurepa, Matematička analiza I i II dio, Školska knjiga, Zagreb, 1997. I. Slapničar, Matematika 1, Fakultet elektrotehnike, strojarstva i brodogradnje u Splitu, Sveučilište u Splitu, Split, 2002. (http://lavica.fesb.hr/mat1) I. Slapničar, Matematika 2, Fakultet elektrotehnike, strojarstva i brodogradnje Sveučilišta u Splitu, Split, 2008. (http://lavica.fesb.hr/mat2) HughesHallett, Gleason et al., Calculus, John Wiley and Sons, Inc., New York, 2000.

Quality assurance methods that ensure the acquisition of exit competences 
 monitoring of students suggestions and reactions during semester  students evaluation organized by University 
Other (as the proposer wishes to add) 
