application of mathematics in real life

1. PRESENTED BY
SUNIL KUMAR SINGH
ASST. PROFESSOR (MATHS)
AIMT, LUCKNOW

2. CONTENTS
Mathematics in Bio Technology
Mathematics in Astronomy
Mathematics in Mechanics
Mathematics in Chemistry
Mathematics in Medicine
Mathematics in Electronics
Mathematics in Physics

3. MATHS IN BIOTECHNOLOGY
 Like calculus , linear algebra , graph geometry ,equation and coding
theory is used.
 For finding the estimation of DNA , there is use of maths
 Calculate the composition of any culture
 There is lots of subjects, come in biotechnology like
 bioinformatics, fluid machinces , heat transfer , physics ,
 chemistry , biostatistics etc…
 If u placed in any industrial company there is use of maths for
 calculating the estimation, percentage, pH
 Big role in bioinformatics , matching deleting sequence of DNA
 during the process , biostatistics are used in respect to maths
 like finding the previous data of any research or stored data , we
 can find mean, median , statistics

4. Maths in Astronomy
Astronomers use maths all the time.
It is used to perform calculations when we look
at the
objects in the sky with a telescope.
Some interesting facts
Our galaxy milkyway is about 100 * 10 ^ 3 light
years wide
Moon is about150 million km from the sun
The diameter of our planet Earth is 12742 km

5. Maths in Mechanics
 Mechanical Engineers use Maths with analytical
and
 problem solving abilities to develop or repair new
 machines.
 • The general study of the relationship between
motion,
 forces and energy is called Mechanics.
 • Examples of application of maths in mechanics
 – Speed is measured as distance travelled / time
taken
 – Force exerted = Mass x Acceleration
 – Gravity of Earth is 9.8 metres / second

6. Maths in Chemistry
Chemists use math for a variety of tasks. They balance the
equation of a chemical reaction, use mathematical
calculations that are absolutely necessary to explore
important concepts in chemistry.
 Math is also used to calculate energy in reactions,
compression of a gas, grams needed to add to a solution to
reach desired concentration, and quantities of reactants
needed to reach a desired product.

7. Maths in Medicine
• Medical professionals use math when drawing up
statistical graphs of epidemics or success rates of
treatments. Math applies to x-rays and CAT scans.
• ... It is reassuring for the general public to know that
our doctors and nurses have been properly trained by
studying mathematics and its uses for medicine

8. Maths in Physics
• Physics is probably the one area of science where
many aspects of maths has been directly applied
• Some of the important in Physics are:
– Classical Mechanics (Calculus)
– Electro Magnetism (Vector Calculus)
– General Relativity (Differential Geometry)
– Quantum Field Theory ( Matrices, Group Theory)
– SuperstringTheory (Know Theory)

9. MATHEMATICS IN
ENGINEERING

10. Contents
Why do we need it ?
Uses in Engineering.
Conclusion.

11. Why Do we need Maths?
It’s required everywhere, anywhere and every
time like in-
 Engineering
• Medicine
• Banking and Finance sector
• Business
• Constructions
And the most important use is definitely for
‘Personal day to day work’.

12. USE OF MATHS IN OUR
LIFE
The students who ignore Mathematics at High School level may
lose several job opportunities in future. Most of the university
degrees need mathematics. Listed below are a few areas that
include Mathematics.
Tech Sciences like Networking, Computer Science, Software
Development, etc
Physical Sciences including Engineering, Physics, Chemistry, etc
Social Sciences like Communications, Linguistics, Anthropology,
Economics, Geography, Education, etc
Medicine
Life and Health Sciences including Pharmacy, Biology, Optometry,
Psychology, Nursing, etc
Actuarial Science used by insurance companies
Business and Commerce

13. Use in Engineering
Used in physics ‘extensively’
Used in graphics ‘structurally’
Used in Civil engineering ‘practically’
It’s used in every field of engineering.
construction, defence, aeronautics, Bridge
research work, etc. nucler

14. Engineering Applications
Electrical Engineering (A.C. Circuits):
Resistors, inductors, capacitors, power
engineering,
analysis of electric magnetic fields and their
interactions with materials and structures
Electronics:
Digital signal processing, image processing.

15. Mechanical/Civil Engineering:
Fluid flow, stress analysis.
Sports and Exercise Engineering/Biomedical
Engineering:
Signal processing and analysis, power meters,
heart
rate monitors.
Energy Systems Engineering:
Design of control systems to protect
ocean energy converters at sea.

16. Matrices and determinants
Civil Engineering:
Traffic engineering and modeling, structural
engineering (trusses), structural engineering
Electronic Engineering & IT:
Computer graphics (zoom, rotations,
transformations, animation and systems
modelling, digital communications).
Electrical Engineering (AC Circuits):
Electrical networks

17. Vector and trigonometry
Mechanical Engineering:
Resolving forces in a plane, design of gears (e.g. in cars),
design of airplane landing gear
Civil Engineering:
Structural engineering, surveying, traffic engineering,
geotechnical engineering
Electrical and Electronic Engineering:
Oscillating waves (circuits, signal processing), electric
and magnetic fields, design of power generating
equipment, radio frequency (RF) systems and antenna
design
Energy Systems Engineering:
Design of sun‐tracking mirrors (heliostats) for
concentrating solar power plants

18. Example
 Calculate the required height for the landing gear on a
jet aircraft with a given takeoff angle to ensure a certain
tail clearance from the ground (i.e. avoid tail strike).
 The load on the landing gear can also be calculated
using trigonometry and vectors.

19. Conclusion:
Engineering + Maths = Everything
Engineering – Maths = Nothing

20. MATHEMATICS RULES THE SCIENCE AND
ENGINEERING
SCIENCE AND ENGINEERING RULES THE
WORLD

21. THANKS