College Grade Math

• 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 ... 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

    • 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 with the change of rate of quan... 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 equati... Read More

        • Second Order Linear Differential Equation

          When we calculate rate of any function with respect to any variable, then this procedure is called as a differentiation. For example y = f(x), then if we differentiate y with respect to x, it produces dy/dx, ... Read More

        • Higher Order Linear Differential equations

          Differentiation is important and interesting part of mathematics. We use differentiation process for calculating the rate of particular function with respect to particular variable like f(x) is a function an... Read More

        • Qualitative Solutions to Differential equations

          In differential equation we study the equations which are changed when their parameters changed or it is the study of anything that changes. From the study of differential, we learn that the derivative ... Read More

      • Application of Differentiation

        The differentiation is the subfield of calculus and there are various application of differentiation in real world. The differentiation is very important part of math as it is used in many scientific fields. Differentia... Read More

        • 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 “enclose... Read More

      • Maxima and Minima

        Maxima and minima of a function together can be called as extrema. Maxima and minima can be defined as largest and smallest of a function at a given point in its domain or outside its domain. We can calculate the maxima and minima o... Read More

    • Derivatives

      The derivatives are the measure of the function that how a function changes as function’s input changes. In short derivatives calculus describes the behavior of one function in accordance with the other function. In calculus derivatives e... Read More

    • 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 math... Read More

      • Fourier Series and Laplace Series

        In Fourier series and Laplace series first we will discuss about the topic of Fourier series, and later we will go on laplace series, Fourier series was formulated by a Jean-Baptiste Fourier. he showed that an imagin... Read More

        • Laplace Transform

          Laplace transform comes under integral transform that is used in so many areas of mathematics applications that relates to physics and engineering. Laplace transform check’s a function and if modification is require than changes in ... Read More

          • Formal Definition of Laplace Transform

            Laplace is widely used integral transform in the mathematics. Laplace transform of a function f (t) denoted by Lf)t) and its related Fourier transform. 

            Definition of Laplace Transform is as follows:

            F(s... Read More

          • 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) +m... 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 ... Read More

      • 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 c... 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 g... Read More

    • Application of Integration

      Anti derivative of function f is the function F whose derivative is function f. We can understand it by an equation as F'=f. This process is also known as anti differentiation. This term is related to the definite integrals... Read More

  • Probability and Statistics

    Probability theory provides a structure or model of certain real world situations that provide very useful understanding and insight about making predictions.
    Here we are talking about the statistics in mathematics. Statistics is the collecti... Read More

    • Probability

      In statistical mathematics we perform various tasks to accomplish the calculations which are related to the possibility of the event. In general aspect probability is used to describe the process of behavioral or logical estimation, which dep... Read More

      • Limit Theorems
        Limit theorems in probability are useful for solving the complex Probability and Statistics problems. Here we will discuss some important limit theorems used in probability and statistics:
        There are following limit theorems in probabilit... Read More
      • Markov Chains
        Let us talk about Markov chain introduction. Markov chain is a system in which one state undergoes transitions to another state where states are always in the countable form. It’s the random process in which the next state does not depend ... Read More
    • Statistics

      Statistics is one of the very important and useful fields of mathematics. In statistic we study how to do the collection of data, then how to organize, analyze and interpret data. It is simply concerned with all these things and also involves ... Read More

      • Curve Fitting
        It is easier to understand the graphical view rather than mathematical view, that’s why curve fitting statistics is useful in statistics, curve fitting statistics is a way to represent large number of data in the form of curve. Proper defi... Read More
        • Linear Function
          Calculus is based upon the linear functions. Linear functions are the functions whose graphs consist of sections of one straight line throughout the function's domain.
          Linear function statistics can be defined as the functions that have... Read More