Introduction to math:
Math is considered as the study of all quantity and all structure. Maths is considered as the tool in all fields. The math is mostly applicable in for the engineering and also for numerical analysis. The major kinds of the mathematics are algebra, trigonometry, statistics, probability and geometry. Here we are going to discuss about some kinds of math.
Kinds of Math
Kinds of math:
Algebra:
Algebra is considered as a kind of math which defines about the study of all rules and also the operations. Algebra is also concerned with the equations, polynomials and all structure of algebra. This is considered as the main branch of mathematics. The algebra is classified into the various categories.
Statistics:
Statistics is a kind of math which makes use of a numerical data which is related to the group of individuals and experiments. Statistics deals with the collection, analysis and also the plan for the collection and analysis of data. Statistics includes the basic terms such as mean, median, Range, and mode.
Mean – process of finding the average of the numbers in the list.
Range – difference between the largest value and the smallest value in the list.
Median –finding the middle term from the list.
Mode – process of finding the frequently occurred term.
Trigonometry:
Trigonometry is the study of triangles which in particular defines the right triangles. This trigonometry takes place in both applied maths and also pure math which deals with the relations between the angle of the triangle and sides of the triangle. This includes three main functions such as sin, cos, tan.
Probability:
It is also a kind of math which defines the way for expressing the knowledge of events to occur. This probability is used in the areas such as statistics and finance.
Geometry:
Geometry is also a kind of math which defines the questions about the different kinds of shapes and also the study about the shapes. It is also related with the real life. Normal shapes used in geometry are triangle, circle, polygons, square and quadrilateral.
Example Problems
Example problem in algebra:
Solve: 2 (x+3) – (x+5) = 3(x+2) – (2x +5)
Solution:
2 (x+3) – (x+5) = 3(x+2) – (2x +5)
2x + (2*3) – (x+5) = 3x + (3 * 2) – 4x +7
2x + 6 – x + 5 = 3x + 6 -4x - 7
2x – x + 1 = 3x – 4x - 1
x + 1 = - x - 1
0 = 0
Hence the given equation is solved.
Example problems in statistics:
Find the mean, median, mode and range for the numbers 8, 6, 7, 4, 8, 5, 6, 8, 2.
Solution:
Mean:
Mean = `54/9` = 6.
Median:
Arrange the numbers in numerical order 2, 4, 5, 6, 6, 7, 8, 8, 8.
The term which is in middle is considered as the median. Therefore the answer is 6.
Range:
Range = maximum value – minmum value
Maximum value = 8.
Lowest value = 2.
Range = 8 – 2.
= 6.
Example in probability:
Three coins are tossed randomly. Find the sample space of getting 2 tails at the same time.
Solution:
Sample space = { HHH, HHT, HTT, HTH, THH, TTH, THT, TTT}
Probability of getting 2 tails = {TTH, THT, HTT, TTT}
= (Number of possible outcomes / Total number of outcomes}
= `4/8`
= `1/2`
Math is considered as the study of all quantity and all structure. Maths is considered as the tool in all fields. The math is mostly applicable in for the engineering and also for numerical analysis. The major kinds of the mathematics are algebra, trigonometry, statistics, probability and geometry. Here we are going to discuss about some kinds of math.
Kinds of Math
Kinds of math:
Algebra:
Algebra is considered as a kind of math which defines about the study of all rules and also the operations. Algebra is also concerned with the equations, polynomials and all structure of algebra. This is considered as the main branch of mathematics. The algebra is classified into the various categories.
Statistics:
Statistics is a kind of math which makes use of a numerical data which is related to the group of individuals and experiments. Statistics deals with the collection, analysis and also the plan for the collection and analysis of data. Statistics includes the basic terms such as mean, median, Range, and mode.
Mean – process of finding the average of the numbers in the list.
Range – difference between the largest value and the smallest value in the list.
Median –finding the middle term from the list.
Mode – process of finding the frequently occurred term.
Trigonometry:
Trigonometry is the study of triangles which in particular defines the right triangles. This trigonometry takes place in both applied maths and also pure math which deals with the relations between the angle of the triangle and sides of the triangle. This includes three main functions such as sin, cos, tan.
Probability:
It is also a kind of math which defines the way for expressing the knowledge of events to occur. This probability is used in the areas such as statistics and finance.
Geometry:
Geometry is also a kind of math which defines the questions about the different kinds of shapes and also the study about the shapes. It is also related with the real life. Normal shapes used in geometry are triangle, circle, polygons, square and quadrilateral.
Example Problems
Example problem in algebra:
Solve: 2 (x+3) – (x+5) = 3(x+2) – (2x +5)
Solution:
2 (x+3) – (x+5) = 3(x+2) – (2x +5)
2x + (2*3) – (x+5) = 3x + (3 * 2) – 4x +7
2x + 6 – x + 5 = 3x + 6 -4x - 7
2x – x + 1 = 3x – 4x - 1
x + 1 = - x - 1
0 = 0
Hence the given equation is solved.
Example problems in statistics:
Find the mean, median, mode and range for the numbers 8, 6, 7, 4, 8, 5, 6, 8, 2.
Solution:
Mean:
Mean = `54/9` = 6.
Median:
Arrange the numbers in numerical order 2, 4, 5, 6, 6, 7, 8, 8, 8.
The term which is in middle is considered as the median. Therefore the answer is 6.
Range:
Range = maximum value – minmum value
Maximum value = 8.
Lowest value = 2.
Range = 8 – 2.
= 6.
Example in probability:
Three coins are tossed randomly. Find the sample space of getting 2 tails at the same time.
Solution:
Sample space = { HHH, HHT, HTT, HTH, THH, TTH, THT, TTT}
Probability of getting 2 tails = {TTH, THT, HTT, TTT}
= (Number of possible outcomes / Total number of outcomes}
= `4/8`
= `1/2`
