Mathematics I

Teachers in charge

Prof. Kristina Krulić Himmelreich, Ph.D.
Assoc. Prof. Ksenija Smoljak Kalamir, Ph.D.

Study, Module

Textile Technology and Engineering - undergraduate, Module Engineering Design and Management of Textiles
Textile Technology and Engineering - undergraduate, Module Textile Chemistry, Materials and Ecology
Textile Technology and Engineering - undergraduate, Module Clothing Engineering
Textile Technology and Engineering - undergraduate, Module Textile and Clothing Design for Industry

summary

6 (3+3+0)

ECTS

8

Knowledge verification

written exam, oral exam

Exercise type

Auditory exercises

Expected learning outcomes

Upon successfully completing this course, the student will be able to:
• interpret a mathematical proof;
• apply proof methods and prove analogous statements;
• connect different concepts and results and apply them;
• demonstrate calculation skills and use mathematical procedures and algorithms;
• analyze and solve mathematical problems related to the acquired mathematical concepts and model situations outside the mathematical context;
• apply the basics of linear algebra, differential, and integral calculus of real functions of a single variable.

Subject content

Sets of numbers. Elements of linear algebra. Sequences. Functions. Limits and continuity. Derivatives
and applications. Indefinite and definite itegrals and applications.

Aim of course

Students will acquire basic knowledge of linear algebra, functions of a single variable, differential and integral calculus of real functions of a single variable, and their applications.

Literature necessary for course

• T. Bradić, J. Pečarić, R. Roki, M. Strunje: Matematika za tehnološke fakultete, Element, Zagreb, 1999.
• B.P.Demidovič, Zadaci i riješeni primjeri iz više matematike s primjenom na tehničke nauke, Tehnička knjiga , Zagreb.
• V.P. Minorski, Zbirka zadataka iz više matematike, Tehnička knjiga, Zagreb.
• K. Krulić Himmelreich, K. Smoljak, Matematika 1 – fakultetski udžbenik u e-obliku, Sveučilište u Zagrebu Tekstilno-tehnološki fakultet, Zagreb, 2013.

Supplement literature

• Murray, Spiegel, Advanced Mathematics for Engineers and Scientist, Schaum's Outline Series, McGraw Hill Company.
• N. Elezović: Linearna algebra, Element, Zagreb, 1995.