Mathematics

Algebraic equations are essential mathematical expressions that employ symbols and letters to symbolize numbers and quantities. These equations establish correlations between variables and can be resolved to determine the values of the unknowns. An algebraic equation is a mathematical statement that includes variables, constants, and mathematical operations

A factor is a numerical value that can be evenly divided into a given number, resulting in no remainder, whether the number is expressed as a fraction or a decimal. They can also be classified as pairs of numbers that have the property of multiplying together to yield another number. A factor is defined as a positive integer, which means it must be a whole number greater than zero. Factoring is a common component in numerous mathematical calculations. Being confident in factoring difficult formulas greatly simplifies one's mathematical endeavors. While decimals are increasingly prevalent in daily life, a comprehension of fractions remains crucial in math, particularly in algebra.

Dimensional analysis is a technique used to analyze physical equations and identify the units in which the solutions are expressed by considering the physical quantities involved. Dimensional analysis is the examination of physical quantities, both fundamental and derived, together with their corresponding units of measurement. It also involves the establishment of standardized units to ensure precise control in the investigation of physical phenomena. The objective is to investigate the interconnections between different physical quantities. Furthermore, it aids to determine the dimensional representation of these interactions.

Ratio and Proportion are mathematical tools employed for the purpose of comparison. Ratio is the act of comparing two quantities, whereas proportion is the act of comparing two ratios. A fraction expressed as a:b is referred to as the ratio of a to b. When two ratios, denoted as a:b and c:d, are equal, they are considered to be proportional to each other. The relationship between two quantities can be expressed as a:b::c:d. This chapter provides a comprehensive exploration of Ratios and Proportions, delving into different sorts of proportions, solving formulas, and presenting illustrative examples.

Percentages, often known as percents, are a method of representing a ratio or a fraction of a whole in relation to 100. The term "percent" is derived from the Latin phrase "per centum," which translates to "per hundred." Percentages are extensively utilized in several domains such as everyday life, finance, and science to depict ratios, compare amounts, and articulate changes.

The term "function" refers to a fundamental notion in mathematics that specifies the relationship between a set of inputs, which is referred to as the domain, and a set of possible outputs, which is referred to as the co-domain. There is a single output in the co-domain that corresponds to each and every input received from the domain.

A sub-field of mathematics known as statistics is concerned with the gathering, analysis, interpretation, presentation, and arrangement of data gathered from various sources. It gives users access to a collection of tools and methods that may be used to draw conclusions, make predictions, and make decisions of uncertainty. In many different domains, statistics is utilized extensively.