Recent trends in engineering mathematics and its application

In this presentation,you can able to learn what are the recent trends in mathematics and its application in various sectors

1. RECENT TRENDS IN ENGINEERING
MATHEMATICS AND ITS APPLICATIONS
Presented by VISHWA P
Nehru institute of engineering and
technology

2. Introduction
Mathematics is growing day by
day in various sector.
● Machine learning and data
science
●Applied cryptography
●Control theory and robotics
●Mathematical Modeling in
Biomedical Engineering

3. Machine learning and data science
Application of mathematics in

4. What is machine
learning ?
Machine learning is about
teaching computers to learn from
data and make decisions without
being explicitly programmed.

5. How mathematics is usefull in machine
learning ?

6. In Machine Learning, these five maths topics are very frequently
used:
●Linear Algebra.
●Probability.
●Statistics.
●Calculus.
●Graphs.

Mathematics can enhance analytical thinking, a skill that's
vital in AI.

7. Application of mathematics in
Applied cryptography

8. What is Applied
Cryptography ?
Cryptography uses mathematical
functions to transform data and
prevent it from being read or
tampered with by unauthorized
parties.

9. How mathematics useful in
cryptography ?

10. Mathematical concepts are used in cryptography to
encrypt and decrypt datas.

mathematical concepts used in cryptography are,
●modular arithmetic,
●prime numbers,
●number theory,
●linear algebra,
●probability theory,
●information theory….etc

11. Application of mathematics in
ROBOTICS

12. What is robotics?
Robotics is a branch of
engineering that involves the
conception, design, manufacture
and operation of robots.

13. How mathematics uses in robotics ?

14. ●basic algebra is used to calculate the speed,
acceleration, and position of robots on the
manufacturing floor.
●Trigonometry is used to calculate angles and
distances, which is important for robotic arm
movements and the placement of sensors
●derivatives can be used to control the speed and
direction of a mobile robot
●Calculus used to optimize the robotic system's
performance by minimizing errors and reducing
cycle time
●Geometry is used to determine the shape and
position of objects

15. Application of mathematics in
Modeling in biomedical engineering

16. How mathematics
uses in biomedical
modeling ?
Mathematical models are used in
biomedical engineering to solve
problems and advance our
understanding of complex
biological processes.
Following topics are used in
mathematical modelling
●Differential Equations: Used to
model dynamic processes such
as the spread of diseases, drug
kinetics, and physiological
processes like nerve conduction.

17. ●Probability and Statistics: Essential for analyzing
experimental data
●Calculus: Important for modeling continuous processes such
as fluid flow in blood vessels, tissue growth, and
biomechanics of movement.

18. Summary
In summary, recent
developments in mathematics
have paved the way for
innovative solutions to complex
problems, driving progress and
innovation across a wide range
of fields and industries.