Wednesday 24 April 2013

Learn Math Showing Relevance in Our Lives

Learning Math is not just learning a subject but the importance of learning Math is simply cannot be estimated. Math is the subject which is totally interwoven with our daily lives. It would be very practical approach learning Math showing relevance in our day-to-day lives. Basic manipulations like addition, subtraction, multiplication, division, fractions, percentage are similar to learn basic life skills. We even do not acknowledge when we use basic manipulation in routine life.

How we can help children learn Math showing the relevance to our lives. If you have noticed, often Math textbooks and practice sheets that use examples involving money, sharing food or toys. The reason behind developing such Math skill is to make them learn to manage money, sharing things, calculates total marks in the test, etc. One step further such ideas allow children how to learn, how to build and how to explore.

Math tutor online is the best help for children to learn Math with extensive practice using daily problem solving. The tutors make use of Math games, flash cards, etc. showing real life Math and develop skills to solve the problem. It helps students to visualize the practical application of Math and gear up thinking process to find out relevance of Math in real lives. Online tutoring offer simple and effective worksheets to teach Math in proven ways.

Often, online tutor model the importance of Math in real world using examples of paying of bills, calculate the cost of grocery in your cart, figure the cost of lunch taken in the restaurant, determine the miles driven in X hours, calculate percentage from the total marks obtained in the test and lot more.

Tuesday 23 April 2013

Function of One Rreal Variable

In the study of natural phenomena and the solution of technical and mathematical problems, it is necessary to consider the variation of one quantity as dependent on the variation of another. For example, in studies of motion, the path traversed is regarded as a variable, which varies with time. Here we say that the distance traversed is a function of time. The area of a circle, in terms of its radius R, is ∏R^2. If R takes on various numerical values, the area assumes different numerical values. So the variation of one variable brings about a variation in the other. Hence area of the circle is a function of the radius R.

If to each value of variable x (within a certain range) there corresponds a unique value of another variable y, then we say that y is a function of x, or, in functional notation y=f(x). The variable x is called the independent variable y is called the dependent variable. The relation between the variable x and y is called a functional relation. The letter f in the functional notation y=f(x) indicates that some kind of operation must be performed on the value of x in order to obtain the values of y.

The set of all possible values which is independent variable (here ‘x’) is permitted to take for a given functional dependence to be defined is called the domain of definition or simply the domain of function. E.g. the function y=sin x is defined for all values of x. Therefore its domain of definition is the infinite interval -∞<x<∞.

The function y=1/√x-1 is defined for all x>its domain is (1, ∞).

These all things are taught in online tutoring and are explained in simpler form.