Monday, 16 January 2017

Introduction


Math plays more of a role in our lives than many people realize. Math is also a huge part of our studies in science. Although science may appear to be quite a different subject, the study of math can ultimately help us more readily understand concepts in science.

At its essence, science is the study of how the universe – and the things that exist in this universe – work. Math can reveal and relate what scientists discover by helping them find relationships between an experiment’s hypothesis and the data that is collected. By using statistics, scientists can use data as evidence to either support or dispute their original theories. Without the application of math in this regard, proving or disproving scientific theories would be impossible.

The ability to accurately determine calculations or scientific principles is largely the result of the relationship between math and science. In physics, calculus and differential equations are used in order to study complex relationships between one property and another. Some examples of this are the centripetal force a moving object exerts or the gravitational force that the Earth has on its satellites, including the moon.

Science applies both simple and complex mathematical concepts, such as measuring the amount of chemicals to use in a solution or figuring out the velocity required in order for the Mars Curiosity Rover to safely land on Mars. At its most basic, math is a tool that reinforces scientific theories; at its most complex, it can be a driving force that powers scientific discovery.


What are some real world applications of trigonometry?

 



 
Trigonometry is often used in real world applications, such as astronomy, architecture, engineering, music theory and geography. Trigonometry was originally developed for geography and astronomy.
One of the most common uses for trigonometry, is in mathematics. Linear algebra, calculus and statistics all use trigonometry in one form or another. Trigonometry was first applied to spheres, but it wasn't long before mathematicians discovered it worked even better with planes.
Trigonometry plays an important role in physics. Statics and optics are some of the earliest forms of physics that rely heavily on trig, but since trigonometry helps in understanding space, all branches of physics rely on its use.
Applications of Trigonometry in Astronomy
More than 2,000 years ago, trigonometry tables were created to make computations for astronomy. Astronomers used these tables to track the movement of the planets, and although this spherical trigonometry is no longer used, astronomers still regularly use trigonometry.
Mathematics in Music
Although music theory might be the last place a person would expect to find trigonometry, its identities are applicable in the field of stringed instruments. When musicians calculate the physics behind a stringed instrument and its sound, trigonometric identities come into play. One example is that the vibration of a violin possesses the same shape as a sine function. When trigonometry comes into play in the field of music, it is generally associated with frequency which is represented by kHz.


 

How is math used in engineering?




Electrical Engineering
Mathematics is a wide discipline and has many forms. In the various engineering fields, different forms of math may be applied to achieve a specific.In engineering, math is used to design and develop new components or products, maintain operating components, model real-life situations for testing and learning purposes, as well as build and maintain structures. Math is a core component of every engineering field and is also widely used in research.
For instance, linear algebra is widely applied in electrical engineering to design electrical circuits. Boolean algebra is the basis of digital logic design, a key component of building computers.

Civil & Mechanical Engineering
In civil and mechanical engineering, geometry is used to design structures and ensure that they perform in a safe and meaningful way. When designing a bridge, civil engineers may use differential equations to calculate the approximate size of the supporting piers needed. They may also use complex mathematical modeling to predict the lifespan of the structure to be constructed.

Industrial Engineering
Industrial engineers use calculus to find the rate at which certain variables will change in a given operation. Industrial engineering routinely entails making approximations and safe estimations to ensure that all processes are properly controlled. One or more forms of mathematics are used in these approximations and estimations

 

Sunday, 15 January 2017

Mathematics: Everywhere & Everyday


In Counting
Counting various quantities is one of the activities that people engage in from young. However, sometimes we wonder, just how big is one million? See how much space one million saga seeds occupy and be awed by numbers that you can relate to in your daily lives like the number of heartbeats in a typical lifetime.
Sometimes, numbers can be used to fool people by well-known mathematical tricks.
In Nature
1,1, 2, 3, 5, 8, 13... This is the Fibonacci Sequence, where each number is derived from adding the previous two numbers. This sequence of numbers can be found in many natural patterns like in pineapples, sunflowers, nautilus and pine cones.
Our eyes are usually drawn to objects that are symmetrical. Leonardo Da Vinci’s Vitruvian Man is often used as a representation of symmetry in the human body. The Soothing Symmetries exhibit anchors this section and explains what symmetry means to science and in mathematics, as well as in everyday life

In Shapes, Curves & Patterns
Circles, squares and triangles are just a few of the shapes that are familiar to us through our daily lives. Discover the usefulness, beauty and 'cleanness' of the round shape, and learn more about the other shapes that can be found around us.
 


In Games & Puzzles
Many, if not all puzzles and games require mathematical logic and deduction. The fun and excitement of various popular games and puzzles, and the exhilaration of solving them, to attract and engage the visitors to realise the mathematics in fun and games.
 
In Time & The Heavens
Mathematics was developed to understand the cycles of nature as observed in the seasons. Ancient people understood the need to define time in relation to celestial movements for agricultural, astronomical, astrological and navigational reasons.
This section looks at the mathematics of astronomy, its relationship to the inventions of various cultural-historical calendars, and the division of time into units of hours, minutes and seconds.
 
 
 
 
 
 
In Real Applications
Mathematic is used in our everyday lives; from figuring out the amount needed to buy your lunch to calculating the bank’s interest.For example, internet banking is getting more and more common these days, and we depend on cryptology – the study of protecting information using codes –to keep our transaction safe.





Awesome, Fearsome Calculus
Calculus is the study of change and it is one of the most important fields in mathematics. Isaac Newton and Gottfried Leibniz are usually credited with the invention of calculus. Newton used calculus in his laws of motion and gravitational attraction.