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Welcome to our presentation
Our Presentation Topic: Application of Calculus in Real Life
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What is Calculus
„e In High School:
d/ dx x n = nx n- 1 [ Power Rule]
d/ dx ( f g) = d/ dx f d/ dx g [ Sum Rule]
Calculus is a branch of mathematics that deals with limits and the differentiation and integration of functions of one or more variables...
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Real Definition
„e A calculus is just a bunch of rules for manipulating symbols.
„e People can give meaning to those symbols, but that’s not part of the calculus.
„e Differential calculus is a bunch of rules for manipulating symbols. There is an interpretation of those symbols corresponds with physics, slopes, etc.
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Calculus in everywhere
„e The differentiation and integration of calculus have many real- world applications from sports to engineering to astronomy and space travel.
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Area of calculus
Calculus is deeply integrated in every branch of the
„e Engineering
„e Architecture
„e Economics
„e Aviation
„e Biology and medicine
„e Physics.
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Calculus in the engineering field
„e Calculus initially developed for better navigation system.
„e Engineers use calculus is used how robotic parts will work on given command.
„e Electrical and Computer engineers use calculus for system design.
„e Calculus is used to improve safety of vehicles.
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Calculus in Architecture
„e Calculus can be used in architecture in ( at least) two ways: practical and aesthetic .
„e Practical uses of calculus in architecture overlap a lot with the parts of architecture that are also structural engineering.
„e Aesthetic uses of calculus in architecture involve buildings that have more complex shapes than just the rectangular.
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Calculus in Economics
„e Functions and derivatives of calculus are relate to relevant concepts in economics.
„e Economics research uses calculus functional relationships, relation of income, market prediction etc.
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Calculus in Aviation
„e The path of an airplane, using calculus can calculate its average cruising altitude, velocity and acceleration.
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Calculus in Biology and Medicine
„e Biology and Medicine use calculus in unbelievable ways.
„e Blood Flow Calculus can be used to determine the blood flow in an artery or a vein at a given point in time.
„e Cardiac output Calculus can be used to find the amount of blood pumped through the heart per unit time.
„e Tumor growth Calculus can be used to determine how fast a tumor is growing or shrinking and how many cells make up a tumor.
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Calculus in physics
„e Calculus is the basestone of modern physics.
„e Physics with Calculus use in “ General Topic”, where " General Topic" is any of the following: Mechanics, Thermodynamics, Waves, Electromagnetism, Optics.
„e Calculus also used in " Specific Topic". It can be as specific as necessary, such as " Conservation of Angular Momentum in Spin- Orbit Coupling",
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Calculus in other fields
„e Business and politicians often conduct surveys with the help of calculus.
„e Investment plans do not pass before mathematicians approves.
„e Doctors often use calculus in the estimation of the progression of the illness.
„e Global mapping is done with the help of calculus.
„e Calculus also used to solve paradoxes.
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Thank you all
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