Maths in science

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Transcript of Maths in science

Page 1: Maths in science
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Index

Maths in Bio Technology

Maths in Astronomy

Maths in Mechanics

Maths in Chemistry

Maths in Medicine

Maths in Electronics

Maths in Physics

Maths in Everyday Life

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Maths in Biotechnology

• Mathematical areas like calculus,

probability theory, linear algebra, abstract

algebra, graph theory, algebraic geometry,

topology, dynamical systems, equations

and coding theory are applied in bio-

technology.

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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

• Astronomers use maths when they are forming theories

for the physical laws that govern the objects in the sky

• Some interesting facts

– The remaining lifetime of the Sun is 4.76 * 10 ^ 9 years

– 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

– Temperature of the core of the Earth is 6000 C

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Do you know?

• The temperature of Earth’s core is as hot as sun

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Maths in Mechanics

• Mechanical Engineers use Maths with analytical and

problem solving abilities to develop or repair new

machines

• Basic maths, calculus and trigonometry are important

maths skills required for a Mechanical Engineer

• 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

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Maths in Chemistry

• Mathematics is used widely in chemistry as well as all

other sciences.

• Mathematical calculations are absolutely necessary to

explore important concepts in chemistry.

• Without some basic mathematics skills, these

calculations, and therefore chemistry itself, will be

extremely difficult.

• Scientists put only the digits they can reasonably be

certain of in their numbers. They might say, for example,

that they measured "10." cm (note the presence of the

decimal point).

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Maths in Medicine

• The Human body is the entire structure of a

human being and comprises head, neck, trunk,

arms, hands, legs and feet.

• Every part of the body is composed of various

types of cell.

• At maturity the estimate number of cells in the

body is given as 37.2 trillion.

• In our body there are 206 bones, the

temperature of the normal human body is 98.6,

The blood pressure of our body is 120 or over

80, our brain uses 20% of the total oxygen and

blood in our body.etc.

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Math in Electronics• Analytic geometry uses numerical techniques to describe classic geometric concepts including

lines, points and curves. Analytic geometry uses numerical techniques to describe classic

geometric concepts including lines, points and curves.

• Kilowatt Hours – Unit of energy equal to 3.6 mega joules or 1000 watt hours.

• OHM – The SI unit of electrical resistance between two points of a conductor with a difference of 1

volt.

• Voltage (Volt) – The SI unit of volts across a conductor when a one ampere current dissipates one

watt of power.

• Watt – Derived unit of power that measures the rate of energy conversion defined in one joule per

second.

• Kilowatt – Measure of 1000 watts of standard electrical power or an energy consumption rate of

1000 joules.

• Megawatt – Measure of 1 million watts of standard electrical power or one joule per second.

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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)

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Maths in everyday life

• We apply mathematics in simple activities that we do

every day

• Our mother uses the concept of ratios and proportion

during cooking

• Ratio is used to compare quantities

• Proportion is used along with ratio when the quantity of

ingredients increases

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