12.Chemistry & Mathematics VIII-Calculus(5)-Integration(2).

In the last post we studied what Integration means and some basic rules for finding integrals.I mentioned  a term ‘Indefinite Integral’ in my last post.In this post let us discuss this term and other concepts related to Integration. There are two types of Integrals – A]Indefinite Integral.  B]Definite Integral. A]Indefinite Integral – While specifying indefinite…

11.Chemistry & Mathematics VII-Calculus(4)-Integration(1).

Today I begin writing about the second part of calculus – INTEGRATION.In the earlier posts we discussed how differentiation helps us to divide our data into small components.This procedure helps us to get our results with exactitude.But it is also mandatory to collect these small pieces later and bring them together to get the final…

10.Chemistry & Mathematics VI-Calculus(3)-Differentiation(3).

Partial Differentiation. In this post I intend to discuss the concept of PARTIAL DIFFERENTIATION.We have already studied that for a function with one variable ‘y’ , y=f(x), the derivative f'(x) = dy/dx  ⇒ represents the rate of change of ‘y’ as ‘x’ changes. But what if there are more than one variables? eg. In thermodynamics,…

9.Chemistry &Mathematics V-Calculus(2)-Differentiation(2).

In this post I intend to discuss the concept of differentiation in greater detail.In my last post we have already learned what derivatives are and why we need to learn this concept. Now let us try to find out exactly what a derivative function tell us with respect to graphs. A Basic point we need…

8.Chemistry & Mathematics IV-Calculus(1)-Differentiation(1).

  Calculus. After discussing about graphs now we shall discuss a somewhat esoteric mathematical topic namely Calculus which includes the following two types – i)Differential Calculus – Differentiation , finding Derivatives. ii)Integral Calculus – Integration. In Chemistry, we come across derivatives and their integrals several times (eg. while studying thermodynamics,chemical kinetics), but most of the…

7.Chemistry & Mathematics III – Graphs(2)

Log-log graphs.  We discussed in the last post that a straight line graph is very helpful in interpreting experimental data but sometimes experiments give us data that represent curves on the graph. These curves are not very helpful as they do not give us the exact relationship between our two variables x and y. x…

6.Chemistry & Mathematics II – Graphs(1).

In the earlier post we discussed about the importance of mathematics in Chemistry.Today,let us  begin by understanding how we can plot our experimental data on a graph and represent our results pictorially. In data representation ,straight line graphs are preferred as they show the data trends very clearly and thus we can get results on…

5.Chemistry & Mathematics I – Variables.

Galileo said – “Mathematics is the language with which God wrote the universe” . I don’t know how true is that , but I do know that Mathematics is of paramount importance in study of any science. Personally, I get freaked out at the sight of integers,logs and calculus but I also know that these…