Calculus is a branch of mathematics that deals with finding derivatives and integrals of functions. It was originally developed in the 17th century by Newton and Leibniz and is used in many fields today including economics, engineering, biology, astronomy, and more. Some examples of how calculus is used include modeling orbital mechanics for space probes, determining credit card interest rates, and calculating bacterial growth rates when variables are altered. In summary, calculus plays a crucial role across many sectors in exploring the world, developing technology, and driving innovation.

2. USE OF CALCULUS IN
REAL LIFE

3. • The branch of mathematics that deals with
the finding and properties of derivatives and
integrals of functions, by methods originally
based on the summation of infinitesimal
differences. The two main types are
differential calculus and integral calculus

4. HISTORY
• Modern calculus was
developed in 17th-century
Europe by Isaac Newton
and Gottfried Wilhelm
Leibnizbut elements of it
appeared in ancient Greece,
then in China and the
Middle East, and still later
again in medieval Europe
and in India.

5. VARIOUS FIELDS OF USING
CALCULUS IN REAL LIFE
• Economics
• Biology
• Engineering
• Astronomy
• Architecture
• Finance
• Graphics Artist
• And many more.....

6. USE OF CALCULUS
IN SPACE FLIGHT
ENGINEERING

8. EXAMPLES
• Van Allen probes orbiting earth
• Radiation in the environment contains high energy
electrons and protons that can damage satellite
solar panels and electronics
• Typical spacecrafts becomes unreliable after 1000
grays ofradiation
1gray = 1 joule of energy delivered to 1kg of
material

9. CREDIT CARD COMPANY
• They use calculus to set the
minimum payments due on
credit card statements at the
exact time the statement is
processed by considering
multiple variables such as
changing interest rates and a
fluctuating available balance.

10. USE OF CALCULUS IN BIOLOGY
• Biologists use differential calculus to
determine the exact rate of growth in a
bacterial culture when different
variables such as temperature and
food source are changed. This research
can help increase the rate of growth of
necessary bacteria, or decrease the
rate of growth for harmful and
potentially threatening bacteria.

11. • Calculus is playing a most crucial role in every
sector whether its technology ,economy or any
field .It is helping us in exploring the world and
even outside the world.calculus is that power tool
which helps human in developingand innovating.

12. Thank you to all for
your kind attention