Study Guide

Objective

The student can solve exponential and logarithmic equations. The student can visualize and interpret statistical data. The student can calculate percentages and solve basic financial calculations.

The student can explain the concept of energy and define work, kinetic energy, potential energy, power and efficiency. The student can present the law of conservation of energy and work-energy principle and models energy conversion and transfer. The student can define density and pressure and describe the pressure distribution in liquid and gas. The student can present Archimedes' principle and apply it. The student knows how to use the most common temperature scales. The student can present the laws of thermal expansion and apply them. The student can model heat storage and changes of phases.

Content

Logarithm, exponential and logarithmic functions and equations.
Basic concepts of statistics: types of data and the scales of measurement, measures of shape and centre, diagrams
Percentage calculations
Business mathematics (interest and index calculations)

Energy, work, power and efficiency
Density and pressure
Pressure in liquid and gas, Archimedes' law
Temperature scales
Thermal expansion
Heat capacity
Changes in phases

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

The student recognises the fundamental mathematics concepts and methods and is able to solve simple problems.
The student can describe the most essential physical quantities and principles covered in the course and apply their knowledge in simple contexts.

Assessment criteria, good (3)

The student is able to apply the fundamental mathematics concepts and methods to simple problems in natural and technical sciences.
The student can accurately describe the physical quantities and principles covered in the course and apply their knowledge in practice.

Assessment criteria, excellent (5)

The student is able to apply the fundamental mathematics concepts and methods to more demanding problems in natural and technical sciences.
The student can accurately describe the physical quantities and principles covered in the course and apply their knowledge in complex contexts.

Assessment criteria, approved/failed

The student recognises the fundamental mathematics concepts and methods and is able to solve simple problems.
The student can describe the most essential physical quantities and principles covered in the course and apply their knowledge in simple contexts.

Prerequisites

Competences of the following studies
Mathematics and Physics 1