Semester: 1
ECTS: 5
Lectures: 30
Practice sessions: 30
Independent work: 90
Module Code: 24-000-0105
Semester: 1
ECTS: 5
Lectures: 30
Practice sessions: 30
Independent work: 90
Module Code: 24-000-0105
Module title:
Mathematics
Lecturers and associates:
Aleksandar Hatzivelkos, College Professor
Martina Benković, Lecturer
Ivan Nađ, Lecturer
Adam Pinek, Lecturer
Module overview:
The objective of this module is to enable students to learn to:
- Implement mathematical models in computational problem solving.
- Implement linear algebra in modelling and solving of 2D and 3D problems.
Students learn the theoretical and practical foundations of quantitative methods that are essential in computer science modelling, with an emphasis on graphical application. This module aims to provide students with the knowledge, and understanding of mathematical tools to be used in other modules of this study programme and serves as a foundation for module Mathematical Analysis that students have in the second semester of the first year.
It is important for students to take this module to develop their logical and reasoning skills needed for other modules in this study programme. The knowledge students acquire in this module will contribute to the overall skillset for their future employment as IT specialists. This module will expose students to a particular experience when dealing with mathematical problems and models in a practical way both individually and in teams.
In this module students will learn to:
Determine the domain and essential points of elementary (polynomials, rational, irrational, exponential, logarithmic and trigonometric) functions.
Sketch the graph of elementary functions.
Solve the equation with elementary functions.
Carry out basic operations at sets.
Form the power set and Cartesian product of sets.
Determine the composition of functions.
Determine the invers function and check the solution through composition.
Solve the problems involving arithmetic and geometric sequences.
Carry out basic operations on matrices and to solve matrix equation.
Use Gauss method to solve system of linear equations.
Determine the value of the determinant.
Carry out basic operations on vectors.
Calculate basic objects in 2D and 3D space.
Carry out basic mappings of the space (translation, rotation, scaling).
Literature:
Required readings:
1. Hatzivelkos, A., Kovač, H., Milun, T. (2022) Mathematics for IT, Zagreb: Algebra
Supplementary readings:
1. Stewart, J., Redlin, L. and Watson, S. (2016) Precalculus: Mathematics for Calculus. 7th edn. Boston: Cengage Learning