Study Guide

Objective

You know equations and related solving principles
You understand the meaning of solution obtained via equation
You are able to form and solve equations
You are able to evaluate the sensibility of different methods of equation solving methods
You are able to apply equation solving principles to a problem expressed in words
You understand what number sets and systems are
You understand the applications of number sets and systems
You are able to convert numbers from one number set to another
You are able to evaluate applicability of data type to storing specific values
You are able to select the appropriate data types for computational work
You understand basic concepts of set theory
You are able to select correct operation for set processing
You are able to apply several set operations to achieve desired outcome
You are able to evaluate what operation combination is efficient in obtaining desired outcome
You know basic concepts to Boolean logic
You know basic concepts to proposition logic
You know applications of predicate logic
You are able to apply proposition logic to a problem expressed in words
You are able to evaluate the correctness of logical deduction
You know central concepts and basic indicators in statistics
You understand meaning of critical statistics reading skills in recognizing real information, disinformation and misinfomation
You are able to calculate basic indicators from data and visualize data with appropriate software
You are able to evaluate applicability of presented data in studying targeted phenomenon
You are able to evaluate the reliability of presented statistics

Content

Equation solving
- 1st degree equations
- 2nd degree equations

Number sets and systems
- Binary system
- Conversions between bases
- Floating-point inaccuracy

Set theory
- Concepts of element and set
- Venn diagrams
- Operations ( union, difference, intersection)

Logic
- Boolean logic
- Proposition logic / statement logic
- Predicate logic

Statistics reading skills
- Goals, benefits and challenges in producing and utilizing statistics
- Reading statistics, basic concepts: sampling unit, population, sample, representativeness of a sample, random sampling (simple, systematic), stratified and cluster sampling.
- Variables: research and background variables, variable types: numeric, non-numeric, continuous, discrete, dicotomic, classification and scales (nominal, ordinal)
- Interpretation of variables: numerical and graphical methods; basic indicators, central tendency (averages, median, mode), cardinality, frequences. Diagrams: bar, sector and scatter plot diagrams.

Evaluation scale

H-5