Discrete Mathematical Structures August 9, 2017 1 Department of Virtualization Program: B.Tech. (CSE) Subject name: Discrete Mathematical Structures Number of credits: 3 Dr. Shamik Tiwari
Discrete Mathematical Structures August 9, 2017 Department of Virtualization 2 What is Data? Data is a collection of facts, such as numbers, words, measurements, observations or even just descriptions of things. Qualitative vs Quantitative Data can be qualitative or quantitative. • Qualitative data is descriptive information (it describes something) • Quantitative data , is numerical information (numbers).
Discrete Mathematical Structures August 9, 2017 Department of Virtualization 3 Discrete and Continuous Data Data can be Descriptive (like "high" or "fast") or Numerical (numbers). And Numerical Data can be Discrete or Continuous : Discrete data is counted, Continuous data is measured Discrete Data Discrete Data can only take certain values. Example: the number of students in a class (you can't have half a student). Continuous Data Continuous Data can take any value (within a range) Examples: A person's height: could be any value (within the range of human heights), not just certain fixed heights, Time in a race: you could even measure it to fractions of a second, A dog's weight, The length of a leaf etc.
Discrete Mathematical Structures August 9, 2017 Department of Virtualization 4 What is Discrete Mathematics? Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous. ... Discrete mathematics therefore excludes topics in "continuous mathematics " such as calculus and analysis. Discrete objects can often be enumerated by integers. Why do we study Discrete Mathematics? The mathematics of modern computer science is built almost entirely on discrete math, in particular. This means that in order to learn the fundamental algorithms used by computer programmers, students will need a solid background in this subjects.