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Mathematical analysis

  • Class 30
  • Practice 30
  • Independent work 90
Total 150

Course title

Mathematical analysis

Lecture type

Obligatory

Course code

21-00-503

Semester

2

ECTS

5

Lecturers and associates

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

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.
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