Role of mathematics in science and engineering

APPLICATIONS OF
MATHEMATICS IN SCIENCE AND
ENGINEERING
PRESENTED BY
DHANUSHKUMAR M.
KABILAMOORTHI R.

CONTENTS
 Mathematics in Bio Technology
 Mathematics in Astronomy
 Mathematics in Mechanics
 Mathematics in Chemistry
 Mathematics in Medicine
 Mathematics in Electronics
 Mathematics in Physics

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

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

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

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.

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.

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)

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

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’.

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

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
nuclerresearch work, etc.

EngineeringApplications
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.

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.

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

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
Vector and trigonometry

 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.
Example

Conclusion:
 Engineering + Maths = Everything
 Engineering – Maths = Nothing

MATHEMATICS RULES THE SCIENCE AND
ENGINEERING
SCIENCE AND ENGINEERING RULES THE
WORLD

Role of mathematics in science and engineering

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