Hii everyone
Welcome to my blogpost
I am Ramraushan Pratap( Future Mathematician ) Currently studying in NIT Agartala, & in Future i want to research in the field of Mathematics. In this site i will write ....post related to mathematics, and applications of mathematics in real life problems and other topic
In this post I'll Discussed actual meaning of set with the help of real life Examples and then i discussed representation of set in different Different form and then solved some problems based on this Concepts and at the end i also give a Video explanation of al these Concepts. so Now lets gets start...
if you want to understand all these Concepts in Details and if you have any Confusion in all the above concepts then you can watch this video and helpful for you
Now I'm going to Discussed some Problems Based on Representation of sets and also solved few important and Basic Problems of Text Book
and so many more Problems are Discussed in our Lecture no-02 and lecture no-03 so if you want to practice all these types of Problems then you can watch my both upcoming video Lecture
Lecture-02
Lecture-03
if you want to more problem practice based on these Concepts then you can also watch this video.....this video is also helpful for IIT-JEE aspirant's and all other Entrance exams related to mathematics
Now I'm Going to discussed about Different types of sets with real life examples
oky guy's no lets move on our first type that is void or Empty sets
after that now lets understand what is the meaning singleton set, finite sets infinite sets Equivalent set and Equal sets
Now try to solve some problems Based on all the above types of sets
Now if you have any confusion or doubts in types of sets or if you want to understand all these concepts in very easy ways then you can watch our Lectre-04 this lecture is helps to understand all the above types of sets and also important for all entrance exams related to Higher mathematics
Lecture-04
Now in our next lecture-05 I'm Going to Discuss other Important types of sets like subset, proper sets, Super sets, Power sets, universal set and also Explain about Compliments of sets. so now lets start with Subset, Super set and proper set. so first of all we try to understand the meaning and main difference between all these three sets because lots of students are Confused in this types of sets
in this Post i will Discussed about unit third that is Calculus ( especially Differential Calculus ) so the syllabus of of Differential calculus is
in this blog i'm going to discussed about Application of Differential calculus. but before studying this I'm going to give a brief introduction of some basic and important topics of differential calculus. if you have already know the concepts of all these topic then you can easily understand application of Derivative Part
all the above topics are the fundamental topic of Differential calculus and after that know you are able o Understand the real life applications of Differential Calculus. so following Tonics are important for 12th Levels and IIT-JEE points of View but in 12th CBSE Board Points of View only Three Topics are Important.
Rate of Change and Approximations' are Delated according to new syllabus of CBSE first term, that's why today I'm Going to start with Increasing and Decreasing
Before understanding the Concepts of Increasing and Decreasing. First of all we have to need the knowledge the basic concepts of Intervals and sign Scheme. S now lets get start the Discussion about Intervals and sign-Scheme
i hope now you understand the Geometrical meaning of inequality and concepts of intervals. now we try to understand the basic Rule of Sign- Scheme
How to solve this Type of Problems and how to identify which interval's Functions are positive or Negative?
Rule of Sign Scheme for rational/polynomials Function 1 Put Numerator and Denominators equal to zero, Separately and then find roots
2 plot a number line. Mark these points(roots) on the number line in terms o Their Increasing order
3 the whole number line is divided in to a subintervals
4 now if root is repeated even times the sign of the function will remain the same in the two adjacent sub-intervals of root but if repeated odd times then sign will be changes
ans= Both problem based on Basic of sequence and series especially types of progression like AP GP and HP and our previous blog. i disused then basics of sequence and series and all the concepts of sequence and series so here we discussed two important problem and then also solve some other important and basic questions of sequence
After watching this Video you can solve any problem of sequence and series based on introduction of sequence and series and also type of progression like AP, GP, and HP
Syllabus of sequence and series for JEE (Main+Advance) Engineering entrance exam
Tables of contents:- Sequence and Series
What is Sequence?
What is series ?
What is Progression ? How Many Types of Progression ?
(a) Arithmetic Progression (AP)
(b) Geometric Progression (GP)
(c) Harmonic Progression (GP)
all these things are explained in details in our you tube channel Pratap Tutors
Lecture 01Introduction of Sequence and series
in this lecture all the basic of sequence and series are explained in details with the help of few basic and important examples. By Ramraushan Pratap ( NITian) after watchin this video clear your all the Basic of Sequence and Series For IIT JEE and all other engineering entrance exam.