NAME OF THE COURSE 
Mathematics 1 
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 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  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. 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. Sequences: Notion. Limits. 10. Series: Convergence of numeric series. Power series. Taylor series. 11. Matrices and vectors: Matrix algebra. Determinants. Inverse matrix. 12. Linear systems of equations. 13. Vector algebra. 14. Solid analityc geometry. 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 
Examination: either by continuously checking and grading students’ progress during the semester or in exam terms by passing written and oral exam. At the beginning of the course students will be informed of in detail elaborated rules for both models of examination. 
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 1, Fakultet elektrotehnike, strojarstva i brodogradnje u Splitu, Sveučilište u Splitu, Split, 2002. (http://lavica.fesb.hr/mat1) 
0 


Optional literature (at the time of submission of study programme proposal) 
S. Kurepa, Matematička analiza I i II dio, Školska knjiga, Zagreb, 1997. L. Krnić, Z. Šikić, Račun diferencijalni i integralni, I dio, Školska knjiga, Zagreb, 1992. HughesHallett, Gleason et al., Calculus, John Wiley and Sons, Inc., New York, 2000.

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) 
