This document discusses the applications of mathematics in various fields of science and engineering. It provides examples of how mathematics is used in biotechnology, astronomy, mechanics, chemistry, medicine, electronics, and physics. Mathematics is crucial in fields like engineering, where it is used extensively in areas like physics, graphics, civil engineering, and various applications in electrical, mechanical, civil, and energy systems engineering. The document emphasizes that engineering without mathematics would not be possible, demonstrating the important role mathematics plays across science and engineering.

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

2. MATHEMATICS IN
SCIENCE

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

4. 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

5. 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

6. 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

7. 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.

8. 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.

9. 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)

10. MATHEMATICS IN
ENGINEERING

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

12. 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’.

13. 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

14. 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.

15. 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.

16. 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.

17. 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

18. 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

19.  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

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

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