Math

What is math? Math is a language from which most of the students gets fear. It can define, as the study of measurement, properties and relationship of quantities using numbers and symbols. More precise, we can say that it is the study of numbers and their operations, interrelations, combinations and of space configurations. Math is purely functional. It is all about how we create, manipulate and understand abstract structures. Math is unavoidable, as it is a fundamental thing without math there would be no science, no music, and no art. Math is a part of all these things. Math basically deals with numbers. It is a broad subject that deals with the computation of figures. Some of these computations include addition, subtraction, multiplication and division to name a few.

The most standard form of math is writing the numbers, for example 89 or 90 is a number. Math is the most important and basic of human life. It is needed for our day to day activities like counting the money and calculating the time. Without numbers keeping a track of various things in life would have been very difficult. Math is a very vast subject and has its application in all the field. The universe cannot be understood without a certain language or characters. It is written in mathematical language and the letters are triangles, circles, and many other geometrical figures. Thus, math can be defined as an important part of human beings. It is language a basic language which is needed to calculate and perform some of the daily routine functions like adding, subtracting and dividing of money and many more things. If suppose we have to find out the area, or measurement of certain things or we need to have an estimate of quantities of certain things we need to understand math and math is all about numbers.

Chapter Covered in Math

• Number Sense

  Number sense is basically related with sensing of numbers, their magnitude and relationship in order to solve a specific operation. Number sense is an ability to do a work without going to traditional work algorithm. It is a defined frame... Read More

  • Real Numbers

    Number is one of the important concepts of math. In simple words number can be defined as the representation of quantity of any object. Number System was first used in the ancient times and since then, it has gone through several changes and... Read More

    • Rational and Irrational Numbers

      Numbers appear like dancing letters to many students as they are not able to distinguish between different categories of numbers and get confused in understanding their concepts. Number family has numerous of siblings an...Read More

    • Rational Numbers

      Rational numbers are those numbers which can be represented in the form of p/q where p and q are real numbers and q cannot be zero. We generally use “q” to represent rational numbers in mathematical world. They can be represented in tw...Read More

    • Irrational Numbers

      A square root of every non perfect square is an irrational number and similarly, a cube root of non-perfect cube is also an example of the irrational number. When we multiply any two irrational numbers and ...Read More

    • Properties of Rational Numbers

      The rational numbers are closed under addition, subtraction, multiplication and division by nonzero rational numbers. The properties are called closure properties of rational numbers. If 'm' and 'n' are two rational numbe...Read More

    • Operations on Rational Numbers

      In mathematics, we generally deal with four types of basic operations called as addition, subtraction, multiplication, and division. We can easily perform thes...Read More

    • Rational Numbers on a Number Line

      A number line is graphical representation of numbers from negative infinity to positive infinity in a single line. Rational numbers can be expressed in fraction (a/b) form, where 'b' is not e...Read More

    • Rational Expressions

      Rational numbers can form expressions when we join rational numbers with various mathematical operators namely addition, subtraction, multiplication and division. Rational Numbers are the numbers which are...Read More

    • Scientific Notation and Rational Numbers

      A rational number is a number which can be expressed exactly as a fraction a/b (where, a and b are two integers with denominator non zero) and represented by 'Q'. The addition and multiplication operations toget...Read More

    • Real World Problems with Rational Numbers

      Rational numbers are also the real numbers but the only necessary condition is that they need to be represented in the form of x/y. All the operations which can be performed on real n...Read More

    • Real Numbers Definition

      In general terms, real numbers are those numbers which do not considered as an imaginary numbers. In the mathematics real number plays an important role to solve various types of problems. In the real number we consider general...Read More

    • Properties of Real Numbers

      Real numbers are used to measure the continuous values. A real number can be rational number or irrational number or it may be positive, negative or zero. It may be algebraic or transcendental.

      Properties of real numbers...Read More

    • Rational Expressions Word Problems

      Rational Expressions Word Problems

• Geometry

  Geometry is defined as the branch of mathematics which is concerned with the studies of the problems related to shape, size, position of figures, construction, measurement of angles sides, etc. In other words, it can be said as a science conc... Read More

• Analytical Geometry

  Analytical geometry is the part of the Algebra. It is basically concerned with the points, lines, circles, and other shapes that are the part of the geometry. In analytical geometry points are defined as the coordinate of (x,y) and... Read More

• Discrete Math

  Discrete math has a wide application in the modern mathematics. Discrete mathematics is generally used in decision mathematics. In this mathematics, we study about objects, set and graphs. Before studying discrete mathematics you must ha... Read More

• Trigonometry

  Trigonometry is that branch of mathematics which deals with the real life problems related to angles. Trigo means three sides, so trigonometry is basically a branch of mathematics which relates to the study of three sided figures i.e. tri... Read More

• Algebra

  Algebra is an important branch of mathematics in which we have to deal with several types of problems. These problems may be related with constants or variables. Algebra is an interesting part of math, and this is we mainly concentrate on how ... Read More

• Algebra 1

  Algebra 1 is part of algebraic mathematics which can be define as Algebra 1 is a branch of mathematics in which we represent the components of a specified set or the numbers by use of symbols, alphabetical letters to express general relation... Read More

• Algebra 2

  Algebra 2 consists of many topics which are especially included for students who are weak in maths as they are quiet easy. The topics under algebra 2 are:

  1.  Equations and inequalities which consist of many principles like:

  Adding p... Read More

• Precalculus

  Precalculus, in general is referred as the secondary form of mathematics that studies the advanced form of secondary algebra. It is in general referred to as the introduction to analysis. Economics is basically the study of how society dis... Read More

• Calculus

  Calculus! many students get fear with this branch of mathematics as it is consider as one of the difficult branch of math. The word Calculus is derived from Latin word, which means calculating something and used for counting anything. Calculu... Read More

  • Introduction of Calculus

    Calculus is the study of the functions at a particular value or at a nearest time. To learn calculus following topics should be studied in detail:

    ·Limits

    ·Limits & Continuity

    ·Differentiation

    ·Integration

    To start up, we fi...Read More

    • Limits in calculus

      Before talking about limits in calculus, one must be familiar with few basic topics of calculus like functions, range and domain. These are very important to understand the concept of math because these are the basics requirement for...Read More

    • Differential Calculus

       

      When we talk about study of differential calculus, our primary objective is to study about the derivatives of the function. Differential Calculus is the important part of calculus, in which we deal...Read More

    • Differentiation is Linear

      Differentiation is a process of finding the derivative of a function. Whenever we deal with pre-calculus or calculus we have to deal with differentiation. If we call differentiation as the heart of the calculus then it won't b...Read More

    • Derivatives

      Derivatives

    • Integration

      Integration is widely used in sociology, economy, mathematics, electronics engineering and many other fields. Here, we will discuss integration in terms of mathematics, which is called as integral calculus or integration calculus. In mathe...Read More

    • Comparison between Integration and Differentiation

      Differentiation and integration both are main roots of mathematics and even mathematics cannot be imagined without differentiation and integration. Many important branches of mathematics are based on ...Read More

    • Application of Integration

      Application of Integration

  • Limits of a function in Calculus

    In calculus, limit of a function is an important concept and it is use to know the behavior of the function near any definite input. Limits have many applications in the mathematics. A limit tells how a function comes c...Read More

  • Limit and continuity in Calculus

    The limit of a function is an interesting but a little bit complex concept where, it may be possible that we try to find the value in the neighborhood of the point of a function because the value of the function does no...Read More

  • Laws of Limit

    To understand Limit in calculus we need to learn various Laws of Limit. Limits have several different types of laws the very first law is constant law. 

    Constant law: Suppose we have f(x) =b (where f is constant for all x) then the li...Read More

  • Left and right hand limit

    Left and right hand limit

  • Differentiation Formulas

    Differentiation Formulas are useful in finding a derivative of functions and we use them in solving differentiation problems. Here, we will discuss useful differentiation formulas and other properties:-

    Derivative of consta...Read More

  • Differential Equations

    Differential equations are those types of equations that have some derivatives of certain functions. The derivatives can either be ordinary derivatives or partial derivatives. If there are only ordinary derivatives in the equatio...Read More

  • Application of Differentiation

    Application of Differentiation

  • Maxima and Minima

    Maxima and Minima

  • Rules of Differentiation

    Differentiation is a process used to find a derivative of function where derivative means rate of change with respect to some variable like derivative of f(x) with respect to 'x' is - 

    d  (f(x)

    dx

    There are some rul...Read More

  • Elementary Rules of differentiation

    The different Elementary Rules of differentiation are used to solve different differential equations. 

    According to elementary rules of differentiation there are following formulas:

    1. d (x^n) /dx = n . x^(n-...Read More

  • Power Law, Polynomials, Quotients and Reciprocals in Calculus

    Calculus is used for counting and it contains many procedures and methods,

    Power law-: we use power law in those situations where we are showing a special kind of mathematical relationship...Read More

  • Derivatives of exponential and logarithmic derivatives

    Derivatives of logarithmic and exponential functions is an important topic of calculus mathematics. We generally denote the logarithmic function in the base e as ln x. So, the derivative of logarit...Read More

  • First Order Differential Equation

    First Order Differential Equation

  • Linear second order Differential equation

    Linear second order Differential equation

  • Higher Order Linear Differential equations

    Higher Order Linear Differential equations

  • Qualitative Solutions to Differential equations

    Qualitative Solutions to Differential equations

  • Slope, Length and Area for Polar Curves

    Slope, length, area for polar curves in calculus is one of the most interesting and bit complex topic of Calculus. In this section, we will look at areas enclosed by polar curves. Here, we used the word “enclosed...Read More

  • Integration Methods

    Integration is a part of calculus, which means joining many small parts under certain area and it is a reverse process of differentiation. There are many integration methods which are use for calculating integration of functions, t...Read More

  • Fourier Series and Laplace Series

    Fourier Series and Laplace Series

  • Differential Equations and Mathematical Modelling

    A mathematical model for any system is the description of that system which uses the mathematical concepts related to the differential equation and some of the languages. This process of modeling is ca...Read More

  • Definite Integral

    Definite Integral

  • Laplace Transform

    Laplace Transform

  • Formal Definition of Laplace Transform

    Formal Definition of Laplace Transform

  • Properties and Theorems of Laplace Transform

    Laplace functions can easily be solved with help of Laplace properties. Laplace transform properties are given below:

    1. Linearity: All the Laplace function fallow linearity property as:

    kx1 (t) +mx...Read More

  • Relationship to Laplace Transform to other transform

    Laplace transform rechecks a function into its instance. Relationship of Laplace transform to other transform can be given  as:

    Laplace transform performs on the density of function of measure w...Read More

  • Antiderivatives

    Antiderivatives

  • Integration using u-substitutions

    Integration by U substitution is a process used to simplify the integral expressions. U substitution can only be applied to one type of integral, that is.- ∫f(x)*d/dx(f(x)). We can apply this rule only when we have tw...Read More

  • Exponential Growth and Decay

    Exponential growth and decay are some of the real world problems and it includes all those problems which increases or decreases exponential. Generally the exponential growth of any mathematical function occurs when the gr...Read More

  • Evaluation of Definite Integral

    Evaluation of Definite Integral

• Statistics

  Statistics deals with some aspects of data like collection, organization, analysis, and interpretation. Statistics include planning of data, collection in terms of design of experiments and surveys. Statistics is a systematic approach, in whic... Read More