How To Make Math Simple

When it comes to maths, almost everyone suffer with the concepts and fundamental. Then they set about memorizing the problems. I always hear Math helper, Mathematics is like a language. “Mathematics is a pure language – it is the language of science. It is unique among all the languages in its ability to provide fine expression for every idea or concept that can be formulated in its terms.” This is the reason why math is not simple as other subjects.




But math can be simple by following these easy steps. 

1) Be clear with your basics:

The most important thing why people struggle with mathematics is because their basics are not well clear. The first thing we all should do is try to be a master of mathematics basics. Start with the algebra and geometry, then further go for calculus trigonometry etc. Ones clear all the basics apply it to the  small problems.

2) Refer as many books as possible:

Refer book means take your math book which almost given in all the schools or we can take help from an online math tutor which book should refer to which class. Take a small section of math book study ahead and try to understand it. Refer as many books as possible because in each book the method of solving the problem is different so that we can choose the most comfortable method. After this set the material for  tomorrow.  

3) Give more time for self study:

This is the most efficient way of studying math. Self analysis is very important for making math simple. Start with the topic which you feel easy and give more time for the topic which you feel though. Take help from an online math tutor to guide you. Remember math is the subject which will often put you out of the comfort zone, so no need worry as this is the part of learning process. By self study you can make connections in math, so many topics in math are related to each other try to analysis it.

4) Practice math :

Practice is the key  for understanding  math, try to do as many as a problem you can do until you understand the concepts of the topic. “Practice makes you perfect”, This is true in mathematics. Solve all the example problem first, then go to the practice problem if you are stuck somewhere take help from your math helper. Always write the problem and practice.  


Summary:

There are some easy step by following this steps math would not be challenging anymore and student would start loving math.

Introducing Histogram

A histogram is a graphical representation of statistical frequency distribution. It is usually used for continuous variable. The data is represented as rectangles of varying heights and constant width. The width is actually the class interval of the data set. The height of each rectangle is proportional to the frequency of the class that it represents.

The following histogram example will help you understand how to construct a histogram.

Sample problem:
The following data table gives the frequency distribution of miles per gallon of fuel of 17 persons using a particular car model. 

Miles per gallon    Frequency
0 – 5 miles                 0
5 – 10 miles               1
10 – 15 miles             2
15 – 20 miles             4
20 – 25 miles             4
25 – 30 miles             2
30 – 35 miles             2
35 – 40 miles             1
40 – 45 miles             1
45 – 50 miles             0

Make a histogram representing the above data.

Solution: Since in this case we are directly given the frequency distribution, the construction of the graphical representation is relatively easy. However if we are only given the data set, then we first need to make the frequency distribution table as given above for it before we can construct the histogram. The graph for this data would look as follows:



Note that the width of each of the rectangles is same. That is because the class intervals given to us in the data have equal widths. The heights of the rectangles are proportional to the corresponding frequencies.

Histograms are extremely useful tools for graphical representation of data, specially when our target viewers are laymans and not statisticians. It has a better impact that the tabular form of frequency distribution table. It is a predominantly convenient method of representing a frequency distribution. It gives the viewer a gist of the underlying frequency curve of the variable under study. There are also some statistical measures (parameters) that can be found (or calculated) using a histogram. It simplifies comparison between frequencies of different classes. It is easier to compare as it is in the form of a diagram.

Histogram analysis can be done by visual inspection. Let us take a look at the following histogram as an example.

 

The above picture represents the heights of 30 people. We can see from the picture that most of these 30 persons fall between the height of 149.5 to 159.5 cm. Thus we can say that the mode of the given data is 9. (Recollect that earlier in this article I had said that we could find some statistical parameter from such a graphical representation of data. One of them is mode that we just found). We can also see that the minimum frequency is 1. That means there is only one person whose height is between 189.5 to 199.5 cm. We know that the total number of people is 30. Therefore the 15th person would have the median height. In this case, the first bar has 6 persons, the second bar as 9 persons. 6 + 9 = 15. Therefore the median height would be the end of the second bar, which is 159.5 cm.

This and a lot more information can be obtained from a histogram. This is the most commonly used tool in corporate reports and government censuses.

Transversal Angles

Transversal Angles : - Once a transverse line intersects 2 or a lot of parallellines, then the angles that area unit fashioned area unit known as the transverse angles. We’ve already studied the properties of the transverse angles within the decussate line topics. The intersection of 2 lines indicates that 2 lines coincide or meet at one purpose.

During this condition the slopes of the 2 lines area unit reciprocal to every different. The cross suggests that to chop or to fulfill at any purpose. The road that intersects 2 or a lot of lines at distinct points is termed a transverse line. The decussate lines are also oblique, perpendicular, traversal or parallel lines. Any figure is often drawn by the assistance of the decussate lines. Every type of triangle, parallelograms and prism are often created by these lines. Interior angles on identical facet of the transverse also are noted as consecutive interior or allied or co-interior angles. Repeatedly we tend to use the words alternate for alternate interior.

Letter of the alphabet angle is very important to seek out the intersections of 2 or a lot of lines.  = Tan –1 (m1 - m2) / (1 + money supply m2). There are a unit cases which may be judged by this formula. Initial case is once money supply and money supply area unit equal then letter of the alphabet is up to tan inverse zero. Letter of the alphabet is up to zero. Once the angle is zero then 2 lines area unit parallel to every different. The second case arises from the very fact that once one in the entire 2 slope area unit reciprocal to every different. During this case the divisor of the formula becomes zero.

Something divided by zero is up to eternity. Tan inverse eternity is up to ninety degree. Letter of the alphabet is up to ninety degree. Thus each the lines area unit perpendicular to every different. thus the subsequent 2 conclusion are often written as (i)Two straight lines area unit parallel if money supply = money supply (ii) 2 straight lines area unit perpendicular, if m1.m2 = -1

Special Angles : - Special angles area unit the pure mathematics angles like thirty, 45, and sixty degrees. Trigonometrical Ratios of some customary Angles area unit given below. 

Trigonometrical ratios of angle thirty deg

Sin thirty deg = ½

Cos thirty deg = (√3)/ (2)

Tan thirty deg =1/ (√3)

Cot thirty deg = √3

Cosec thirty deg = two

Sec thirty deg = (2)/ (√3)

Measurement of Angle in Radian; in system of measurement, the length of the circumference of a circle continuously bears a relentless ration to its diameter.

Circumference of a circle = 2 pi(radius)

Diameter of a circle

= 3.14159265

= 22/7

180° = two rt angles = pi radians

360° = four rt angles =2pi radians

 /2pi90° = One rt angle = rad

1 rad = one800 / π = 570 17’ forty four.8”

= 57.29577950

Let us notice What should be the radius of circular ring path spherical that Associate in Nursing jock should run five times to explain 1760 mtrs.

In five rounds: 1760 mtrs 1760/5 = 352 m

In one round:

i.e., Circumference = 352 m

Circumference = 2pi radians

Radius =pi Circumference / 2 pi = 352 /2 x 3.14159265 m

= 352 / 2 x pi

= 56 mtrs.