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.