Much of mathematics is about finding a pattern – a recognisable link between quantities that change. In our daily lives, we often come across patterns that characterise relations such as mother and daughter, brother and sister, father and son, teacher and student, and so on. In mathematics as well, there are relations between numbers that …
Calculus can be referred to as the mathematics of change. In this learning playlist, you are going to understand the basic concepts of calculus, so you can develop the skill of predicting the change. These videos will help you understand Limits, Differentiation, and Integration- the important ideas around which calculus is built. In calculus, we …
Mathematics is a mystery for a few! Passion for the rest. Every new concept in Math opens up a plethora of new roads to be travelled. Let us today travel one such road named “Sets” and get to know what it has in store for us!
Ever wondered, why do meteorologists use the weather patterns to predict the chances of rain? Or how can we predict the chances of passing, in an examination, based on our performance? These ‘Chances’ that we are referring to, are nothing but ‘Probability’. In weather forecast, they check the ‘Probability of rain’, while after an examination …
How do you think an architecture calculates the amount of time-period required for completion of a project? Or how does one know much material will be required for the construction of any structure? Well, this is done using an interesting concept known as ‘Binomial theorem’. And what do we mean by this? A polynomial consisting …
Sometimes to deal with a problem we need to optimize certain resources. These resources could be either time, money, or anything else. These resources are also called ‘constraints’. One of the best examples of this is our diet. We need more protein for building muscles, but we also need carbohydrates for energy. So we need …
Word problems always make you sweat in stress. One reason for this is because of the confusing questions asked. For instance – try finding an answer to this question – Bob and Martha have 45 chocolates. They gave 15 chocolates to Cathy. How many chocolates does Bob have? All that we know is – Bob …
When you throw a ball in the air it covers a path that can be modeled by a parabola. For any given height there will be two positions of the ball. A simple parabola equation is y = x2. Here we can see that ‘y’ can be either ‘+x’ or ‘-x’. So quadratic equation is …
Can you recall any number that has a negative value for its square? You might have multiplied several numbers, but none of those would have given you a negative square. There arises the complexity. There are negative squares – which are identified as ‘complex numbers’. For instance: -1i is a complex number. Here ‘i’ refers …
Analyzing a data set that has a very large value like 45782945764 or a very small value like 0.0024854693 is too difficult. To plot such data on a linear scale often doesn’t make much sense. So what can be done about this? This is where logarithm comes into the picture. Plotting such data on a …
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