Log Graphs

In maths textbooks, whenever we read the word ‘Log’, it feels like it is some alien idea that is not easy to understand. Students are often reluctant to explore the beautiful maths behind the logarithm and logarithmic functions. On the contrary, the concept of ‘Log’ or ‘Logarithm’ follows naturally into the minds when we understand … Read more

Force and Newton’s Laws Of Motion

Forces A push or pull that accelerates an object having some mass is known as force. It is considered a vector quantity as it has both direction and magnitude. The SI unit of force is known as Newton (N). It is kg m/s2. a) Two skaters pushing the third skater in different directions with forces … Read more

Discriminants

Polynomial You must have heard the word ‘polynomial’ or a ‘polynomial equation’. Algebra is obsessed with polynomials. You will find them everywhere. So, what is a polynomial then? Polynomial is just an expression that involves variables and constants with arithmetic operators (‘+’, ‘-‘, ‘×’, ‘÷’) in between. An example of a polynomial is, As you … Read more

Algebra Functions

Function Many people muddle up the concepts of ‘Equation’ and ’Function’. They are related but they are definitely not the same. You will see how. Let us first understand the idea of an ‘Equation’. An equation is defined as a mathematical relation (involving the ‘=’ symbol) between two or more variables. For instance, the following … Read more

Probability

Summary Two events that have nothing in common are known as mutually exclusive events Two events that have elements in common are known as non-mutually exclusive events If two events are independent event meaning they both do not depend on one another If two events are dependent events they both are (conditional probability) It is … Read more

The Uniform Distribution

Summary In uniform distribution the random variable is a continuous random variable The probability density function is calculated as: Mean Variance The cumulative distribution function is calculated by integrating the probability density function f(x) to give  Standard deviation is the under root of variance   In uniform distribution you should know that random variable is … Read more