1. “welcome to our
presentation”
Presented by
Md Arif Hossain
Id:182-15-11395
Nure Alam Ridoy
Id:182-15-11660
Kamrul Hassan Riad
Id:182-15-11380
Tanvir Abedin
Id:182-15-11486
Sharmin Haq
Id:182-15-11443
3. Definition of
discreate math…
Discrete mathematics is the study of
mathematical structure that are fundamentally
discrete rather than continuous.
Discrete mathematics is the part of mathematies
devoted to the the study of discrete object.
4. Why discrete math is necessary for
computer science specialization..
Discrete Math is needed to see mathematical
structures in the object you work with, and
understand their properties. This ability is important
for software engineers, data scientists, security and
financial analysts (it is not a coincidence that math
puzzles are often used for interviews).
5. Topics in discreate
mathematies..
> Logic
> Information Theory
> Set Theory
> Graph Theory
> Operation Research
> Theoretical computer
science
> Number Theory
> Probability Theory
> Combinatories
> Algebra
> Geometry
> Topology
> Games Theory
> Utility Theory
> Decision Theory
> Social Choice Theory
6. DISCREATE MATH IN
COMPUTERS…
Computers run software and
store files. The software and files
are both stored as huge string of
1s and 0s Binary math is discrete
mathematics. All computer data
is represented using binary.
Binary digits can be grouped
together into bytes
7. Discreate math in Railway
planning..
Railway planning uses discrete math deciding how to expand
train rail lines, train timetable scheduling, and scheduling
crews and equipment for train trips use both graph theory and
linear algebra.
8. Discreate math in
Computer graphics..
Computer graphics (such as in video games) use linear
algebra in order to transform (move, scale, change
perspective) objects. That's true for both applications like
game development, and for operating system.
9. Discreate math in
cryptography..
Cryptography is a method of storing and transmitting data in a
particular form so that only those for whom it is intended can
read and process it. Cryptography provide secure any data or
passwords in encryption methods.
Example.
10. Discreate math in
Google Maps…
Google Maps uses discrete mathematics to
determine fastest driving routes and times.
There is a simpler version that works with
small maps and technicalities involved in
adapting to large maps.
11. Image processing..
Image processing is a method to convert an image into digital form and
perform some operations on it, in order to get an enhanced image or to
extract some useful information from it. It convert image as two
dimensional signals.
12. Relational database..
Relational database they play an important part in almost
every organization that keep track of its employees,clients
and resources.A relation data base help to join a different
peace of information.This is all done concepts of discrete
math set.
13. Discreate math in
algrothm..
For example, logic functions (such as if/then
statements), recursion, counting techniques and
relations (think databases) are all subtopics of DM but
many people, especially those who tinker with
programming, have some understanding of these topics
without necessarily being aware of it.
I think it's best to learn algorithms concurrently with
discrete math so you can apply as you learn. You might
find that taking a discrete math course is just
formalizing a lot of stuff you already know or are
familiar with.
14. Conclusion…
Discrete Math is needed to see mathematical structures in the object
you work with, and understand their properties. This ability is
important for software engineers, data scientists, security and
financial analysts (it is not a coincidence that math puzzles are often
used for interviews). We cover the basic notions and results
(combinatorics, graphs, probability, number theory) that are
universally needed. To deliver techniques and ideas in discrete
mathematics to the learner we extensively use interactive puzzles
specially created for this specialization. To bring the learners
experience closer to IT-applications we incorporate programming
examples, problems and projects in our courses.