Set Theory, Relations and Functions

In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. … The derivative of a function at a chosen input value describes the rate of change of the function near that input value. Differential calculus deals with the rate of change of one quantity with respect to another. Or you can consider it as a study of rates of change of quantities. For example, velocity is the rate of change of distance with respect to time in a particular direction. If f(x) is a function, then f'(x) = dy/dx is the differential equation, where f’(x) is the derivative of the function, y is dependent variable and x is an independent variable.

What you’ll learn

- Differential Calculus.
- Set Theory, Relations, Functions,.
- Detailed theory,.
- Concepts, Remarks, Proofs, Short-Tricks.

Course Content

- Set Theory and Relations –> 6 lectures • 1hr 13min.
- Functions –> 23 lectures • 4hr 56min.

Requirements

- basic knowledge of mathematics of 9th and 10th std Mathematics.

In mathematics, **differential calculus** is a subfield of **calculus** that studies the rates at which quantities change. … The derivative of a function at a chosen input value describes the rate of change of the function near that input value. **Differential calculus** deals with the rate of change of one quantity with respect to another. Or you can consider it as a study of rates of change of quantities. For example, velocity is the rate of change of distance with respect to time in a particular direction. If f(x) is a function, then f'(x) = dy/dx is the differential equation, where f’(x) is the derivative of the function, y is dependent variable and x is an independent variable.

The Course will cover differential calculus related two chapters set theory, relations and functions which is helpful for Jee Main, Jee Advanced, and other engineering entrance exams. The Course will cover Set Theory, Relations, Functions , The course will cover all the concepts, remarks, highlights with proof. This will develop better approaches to solve problems. This course will help for detailed version of chapters of differential calculus for jee main and jee advanced and other competitive exams. There are sheets of chapter after every 2-3 video lectures. these are the resources for practice problems. level of problems is level jee main and jee advanced