ISB Hyderabad MBA. Educator on Unacademy since last 5 years. Have written UPSC CSE mains thrice. B.Tech. from IIT Patna. 

Venkatesh Chaturvedi

Roger Bacon said, "For the things of this world cannot be made known without a knowledge of mathematics." Through his words, one can understand the importance of studying this subject. Keeping these significant factors in mind, Venkatesh Chaturvedi has designed this course" Demolishing Functions by Graphical Method". This course helps us in understanding graphs of functions like straight line, quadratic functions, inverse trigonometric functions. He also throws light on the 16 transformation techniques which would help one to realize how to make complex functions on the graph. Venkatesh also solves some sample questions in his lessons which would give one better acquaintance over the topics.

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IIT JEE

JEE Main and Advanced Preparation

English

Demolishing Functions by Graphical Method

Mathematics

JEE (Joint Entrance Examination) Preparation

This unit briefs and introduces one about the topics which will be covered under the course demolishing functions by graphical method. Educator describes all the major benefits which one will get out of the course and also shows the areas which one can be most proficient with.

Overview of the Course: Demolishing Functions by Graphical Method

In this lesson one will understand and learn about linear, parabolic, logarithmic and exponential function. Venkatesh explains each of these functions using graphical representations and highlights their functions using proper illustrations.

Understanding of Linear, Parabolic, Logarithmic And Exponential Functions

This lesson helps one understand quadratic and trigonometric functions. Educator initially explains you the equations and then describes their functions using proper graphical representation. In trigonometric functions, one will learn briefly about sine, cos, and tangent functions.
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Basics Of Quadratic And Trigonometric Functions

In this lesson Venkatesh describes various trigonometric functions graphical form. He then explains modulus and greatest integer form functions by giving proper graphical instances. He also throws light on functions related to fractional part functions in this unit.

Trigonometric, Modulus, Greatest integer and Fractional part functions

This lesson mainly concentrates on the graphical representation of inverse trigonometric functions and also certain other important functions. Venkatesh clearly explains and shows the ​graphical representation of each inverse trigonometric function in this lesson.

Learn the Remaining Important Functions and Inverse Trigonometric Functions

This lesson is talking about the first four transformations. Every transformation is explained along with the examples and graphical representation. Educator provides a very lucid analysis of the concepts for a clearer understanding.

Transformations 1 to 4 with solved examples

This lesson throws light upon the transformations 5 to 7 which correspond to modulus with solved examples. Lesson begins with explaining a transformation of y=f(x) to y=f(mod x) by a our step transformation. Then step-by-step explanation of transformation of y=f(x) to y= mod(f(x)) by a four step transformation.  Finally it talks about the transformation of y=f(x) to mod(y) = f(x).

Transformations 5 - 7 with solved examples

This lesson talks about the transformation 8 to 10. Lesson begins with eighth transformation of y=f(x) to y=[f(x)] in a four step process with an example. Ninth transformation of y=f(x) to y=f([x]) by a three step process. At the end transformation of y=f(x) to [y]=f(x) is explained as a four step process.

Transformations 8 to 10 and solved examples

In this course, so far Venkatesh has explained various significant transformations. Add more feathers to your learning as he explains you three more transformations through this lesson. This lesson talks about the transformation 11 to 13. As the lesson starts he explains the 11th transformation i.e  x=f(y) to x = [f(y)]. He explains it in just 3 steps with an appropriate graph. The other two transformations which are explained in this lesson are y= f(x) to y=f({x}) and y= f(x) to y= f{(x)} .​

Transformations 11 to 13 with Solved Examples

So far you have acquainted the knowledge of 13 important transformations through this course. You can learn 3 more such transformations through this lesson. The first transformation which he will discuss here is y= f(x) to {y}= f(x), he completely briefs it with appropriate example. The second transformation which you'll learn here is x=f(y) to x= {f(y)}. Lastly, he discusses about y=f(x) to y=sgn(f(x)) transformation.

Lessons

10 lessons • 1h 27m