Mathematical analysis
- Class 30
- Practice 30
- Independent work 90
Course title
Mathematical analysis
Lecture type
Obligatory
Course code
22-00-503
Semester
2
ECTS
5
Lecturers and associates
- PhD Aleksandar Hatzivelkos, Senior Lecturer
- Martina Benković, Lecturer
- PhD Iva Golubić, Senior Lecturer
- Hrvoje Kovač, Lecturer
- Ivan Nađ, Lecturer
- Adam Pinek, Instructor
Course overview
The objective of this module is to enable students to learn tp:
• implement mathematical models in economical and computer science applications
• implement calculus in computational and economic modelling.
This module builds upon the foundations laid in the module ‘Mathematics’ from the first semester. It teaches students mathematical models and calculus methods, which are essential in computer science modelling, as well as in economic modelling.
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.
Literature
Essential reading:
1. Stewart, J. (2015) Calculus ET. 8th edn. Boston: Cengage Learning
Recommended reading:
1. Stewart, J., Redlin, L. and Watson, S. (2016) Precalculus: Mathematics for Calculus. 7th edn. Boston: Cengage Learning
Further reading:
1. Lovell M.C. (2004) Economics with Calculus. Singapore: World Scientific
Bachelor in Computer Engineering
Minimal learning outcomes
- Define the rules of elementary derivation and apply them on function composition derivations, and implicitly and parameter-defined functions.
- Apply differential calculus when determining characteristic parameters for drawing a function graph.
- Define basic features of an indefinite integral and use the substitution method to solve tasks.
- Define definite integral and use Newton -Leibnitz formula for calculating surfaces under the curves.
Preferred learning outcomes
- Calculate higher degree derivations and interpret the application of the derivation.
- Relate the calculated parameters characteristic for the function graph and draw the function graph.
- Use the partial integration method to solve tasks.
- Apply the substitution and partial integration method in solving separable differential equations.