Check out in the table the applications of some Mathematics content in our daily lives.
POSITIVE AND NEGATIVE NUMBERS
Temperature: We use positive and negative numbers to mark the temperature. If the temperature is 20 degrees above zero, we can represent it by +20 (positive twenty). If you mark 10 degrees below zero, this temperature is represented by minus -10 (ten minus).
Bank account: The term negative balance is common. When we withdraw (debit) more than our credit to a bank account, we have a negative balance.
Altitude level: when we are above sea level, we are at an elevation (positive altitude). When we are below sea level, we are in a depression (negative altitude).
Timezone: If the opening of a World Cup is taking place at 12 noon in London, you will be watching this ceremony broadcast live on television at a different time. If you are in Sao Paulo, it will be at 9 o'clock. In Tokyo, it will be at 9 pm on the same day.
This occurs according to the location of each city in relation to a reference (in this case, London), considered the zero point.
REASONS AND PROPORTIONS
|Reasons and proportions are used in data analysis, research, projections and estimates of changes and transformations that may occur in the universe.|
Trigonometry has several practical applications. We find applications of trigonometry in engineering, mechanics, electricity, acoustics, medicine, astronomy and even music. For example, trigonometry of the right triangle allows us to easily perform calculations such as:
|Many animations we see in the cinema use matrices. From the movement of characters to the background, they can be created by software that combines pixels into geometric shapes that are stored and manipulated. The software encodes information such as position, motion, color and texture of each pixel. For this, they use vectors, matrices and polygonal surface approximations to determine the characteristic of each pixel. A single frame of a computer-created movie has more than two million pixels, making it essential to use computers to perform all the necessary calculations.|
|When two lines of the same plane intersect, a point is obtained. We often use equations to indicate the location of people, boats, planes, cities.|
|Inequalities are used in experiments, statistics, data analysis and comparisons.|
|DIFFERENTIAL EQUATIONS||Differential equations have wide application in solving complex problems about motion, growth, vibration, electricity and magnetism, aerodynamics, thermodynamics, hydrodynamics, nuclear energy and all kinds of physical phenomena involving varying rates of change.|
Logarithms help speed up calculations as well as broaden knowledge on specific subjects. In chemistry, for example, they help determine the disintegration time of a radioactive substance. They are also applied in medicine to calculate the dosage of medicines (for example, the time required for the amount of a drug present in the patient's body not to exceed a certain limit may be obtained).
In geography, it helps in determining population growth rates. Another application we can cite is the Richter scale, which is a logarithmic scale used since 1935. Through it, it is possible to calculate the magnitude (amount of energy released), epicenter and amplitude of an earthquake.
f (x) = x = 1
f (x) = x2-1
One of the most important concepts in mathematics, functions have wide application in our daily lives. They are used to describe numerical phenomena, often represented by graphs.
For example, they can model the growth of a bacterial population over time, calculate the value of a taxi ride according to distance traveled, or any other relationship between quantities that depend on each other.
They also have applications in physics, such as situations involving uniformly varied movement, oblique throwing, etc. In biology, they help in the study of photosynthesis, for example. In Civil Engineering, perform various calculations in buildings. In the Accounting area, they are used when relating the functions cost, revenue and profit.
Spatial geometry is everywhere. Studying the three-dimensional figures (cube, parallelepiped, pyramid, cone, cylinder, sphere) allows engineering to be able to produce automobiles, airplanes, computers, etc., since many mechanical parts are designed from geometric calculations.
If we look at the figures mentioned above, we realize that each one has its shape represented in some object in our reality, such as: shoe box, matchbox (parallelepiped), ice cream cone (cone), pipe, straw (cylinder), ball (sphere), etc. Therefore, the production of all of them involves geometric calculations.
Its use is critical in the financial market, whether it's time to get a discount, calculate the profit on selling a product or measure interest rates. It is also used to capitalize loans and investments, express inflationary and deflationary indices, among others. In statistics, it is applied in the presentation of comparative and organizational data.
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