Mathematics I

Teachers in charge

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

Study program

•   Undergraduate study Textile Technology and Engineering

module

•   Engineering Design and Management of Textiles
•   Textile Chemistry, Materials and Ecology
•   Clothing Engineering
•   Textile and Clothing Design for Industry

COURSE SUMMARY ∑ (L+S+P):

6 (3+0+3)

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.
•   K. Krulić Himmelreich, K. Smoljak, Matematika 1 – fakultetski udžbenik u
    e-obliku, Sveučilište u Zagrebu Tekstilno-tehnološki fakultet, Zagreb, 2013.

Supplement literature

•   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.
•   N. Elezović: Linearna algebra, Element, Zagreb, 1995.