Statistics is the science of collecting data and analysing it for future references or decision making. In today’s world, no company, share market, or scientific research run without the knowledge of statistical data handling. In his course, we will revise the previously learned statistical tools like mean, median & mode, learn the measures of dispersion, absolute …
Limits and Derivatives is your stepping stone into the world of Calculus, the branch of mathematics that is a fundamental building block of classical and quantum physics. In this chapter, learn about the notations of derivatives, derivatives of trigonometric functions, rules of differentiation, and some useful tricks to remember the derivatives of trigonometric functions.
The world we live in is not a 2-dimensional entity that we usually study in coordinate geometry. In fact, there is a third axis to this graph, which makes the objects around us 3-dimensional. A ball, a book, a pen, a table, a car, and even your own body are 3-dimensional. In this chapter, we …
Did you know that just like straight lines, there are mathematical equations to represent curves too? Yes, be it a circle, an ellipse, a parabola, or a hyperbola, all classify as conic sections and there is always an equation to represent each one of them on a graph paper. In this chapter, we will learn …
Straight lines are the basic building blocks of geometry and here we will be conjoining the mathematics of geometry with the mathematics of graphs to produce an all-new concept of 2-dimensional coordinate geometry. In this chapter, we will be learning the methods of finding the distance between 2 coordinates, slope of a line, reference angles, …
The population of human beings or other animals at different times form a sequence. The amount of money deposited in a bank in a given period, form a sequence. The number of even numbers between 1 and 100 forms a sequence. And like this, sequences find use in various spheres of mathematics, science, economics, demography, …
You have 3 balls, of which 1 is red, 1 is blue and 1 is green. You need to arrange the three balls in all the possible colour combinations there are. Easy right!? Now, what if there were 50 such balls? Can you tell me how many combinations of arrangements are possible in that case? …
Have you ever been to an amusement park? If you have, you must have often seen that every ride has a height limit indicated by a less than or a greater than height value. This is nothing but inequality. Inequalities are not only used in mathematics but also in science, statistics, optimisation problems, economics, psychology, …
What makes a human superior to other animals is the ability to reason. Be it a scientific fact or the law of nature, we can always find a reason why something happens the way it does. In mathematics too, reasoning plays an integral role and can be broadly classified into two – inductive and deductive. In …
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Today, trigonometry finds an application in seismology, designing electric circuits, describing the state of an atom, predicting the heights of tides in the ocean, analysing a musical tone, and in many other areas. In earlier classes, we have studied the basics of trigonometry, that is ratios of acute angles as the ratio of the sides …
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