M.Sc. Mathematics from IIT Roorkee
B.Sc. Mathematics from Delhi University
YouTube: Algorithm Education
SME at Chegg
3+ years teaching Exper

Upendra Yadav

The chapter of "Sequences of Real Numbers" which is a very important chapter and a basic chapter of Real Analysis and Mathematical Analysis.
Mainly this lecture series is for the aspirants who are preparing for the exam IIT-JAM.

IIT-JAM 

Hindi

(Hindi) Real Analysis: Sequences of Real Numbers

Sequence of Real Numbers

Sequences & Series-Real Nos.

Mathematics

GATE, ESE and IIT-JAM

Ace the toughest competitive and government exams in India 

Test Preparation

Hiiii..... Students
I hope you are all well. I, Upendra yadav welcome you all on Unacademy (India's largest online learning platform).

In this course we'll our best to deliver the lecture in such a manner so that a beginner student can grasp the fundamental, the method, the technique, the tricks in a higher Mathematics in a simple way. We are quite sure that after watching this lecture series carefully and noting down the important facts and results, every student will be able to solve the problem which are frequently asked in a various higher Mathematics exam like IIT-JAM, NBHM, TIFER , CMI, CSIR-NET, GATE, JRF, UPSC and other Mathematics Competitive exam.
The chapter of "Sequences of Real Numbers" which is a very important chapter and a basic chapter of Real Analysis and Mathematical Analysis.
Mainly this lecture series is for the aspirants who are preparing for the exam IIT-JAM.

In this lecture series if you've any queries then please ask me in the comment section or message me.

And if you like my courses the Please Do Rate and Review  my course.
And you can also share my lessons to your friends.
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And Thanku very much.
Have a good day. 😊😊

Overview of the Course (in Hindi)

Lecture 1: Definition of Sequence (in Hindi)

Lecture 2: Bounded Sequences (in Hindi)

Lecture 3: Monotonic sequences (in Hindi)

Lecture 4: Eventual Nature of a sequence (in Hindi)

Lecture 5: Subsequence and complementary subsequences (in Hindi)

Lecture 6: Limit point of a sequence & Bolzano Weierstrass Theorem (in Hindi)

Lecture 7: Limit of a sequence & convergent sequence (in Hindi)

Lecture 8: Uniqueness Theorem of limit, Divergent & Oscillatory Sequence (in Hindi)

Lecture 9: Example of convergent sequence (in Hindi)

Lecture 10: Example of convergent sequence (in Hindi)

Lecture 11: Example of convergent sequence (in Hindi)

Lecture 12: Some Important limit theorems || Theorem 1 - 10 (in Hindi)

Lecture 13: Some important limit theorems || Theorem 11 - 15 (in Hindi)

Lecture 14: Applications of Theorem -15 (in Hindi)

Lecture 15: Monotone converges theorem & Cantor Intersection theorem (in Hindi)

Lecture 16: An Example to understand Monotone converges theorem (in Hindi)

Lecture 17: Solved Examples (in Hindi)

Lecture 18: Solved Examples (in Hindi)

Lecture 19: Solved Examples (in Hindi)

Lecture 20: Solved Examples (in Hindi)

Lecture 21: Subsequences (in Hindi)

Lecture 22: Subsequences and Its Related Theorems (in Hindi)

Lecture 23: Examples based on Subsequences (in Hindi)

Lecture 24: Limit Superior and its Example || Advanced Analysis of a Sequence (in Hindi)

Lecture 25: Limit Inferior and its Examples (in Hindi)

Lecture 26: Convergen,Divergent & Oscillatory Sequence || Advanced Analysis of a sequence (in Hindi)

Lecture 27: Properties of Limit Superior and Limit Inferior (in Hindi)

Lecture 28: Solved Examples || Limit Superior and Limit Inferior (in Hindi)

Lecture 29: Solved Examples || Limit Superior & Limit Inferior (in Hindi)

Lecture 30: Sequences of Natural Numbers (in Hindi)

Lecture 31: Cauchy sequence (in Hindi)

Lecture 32: Cauchy Sequence || Theorems (in Hindi)

Lecture 33: Cauchy Criterion for Convergence (in Hindi)

Lecture 34: Solved Examples || Cauchy Sequence (in Hindi)

Lecture 35: Cauchy's first Theorem on limit (in Hindi)

Lecture 36: Cauchy's second Theorem on Limit (in Hindi)

Lecture 37: Solved Examples (in Hindi)

Lecture 38: Solved Examples (in Hindi)

Lecture 39: Solved Examples (in Hindi)

IIT J̊ÅM̊ QUALIFIED,post graduate,and further study on pure mathematics ...for any question (8923290203)

Swapnil Sundriyal

Extremely important topic of real analysis is covered in this course

(Hindi) IIT JAM: Sequence of Real Numbers Part -1

In this course, the educator is discussing Monotone sequence and subsequence for IIT-JAM (Mathematics-MA) aspirants

(Hindi) IIT-JAM (Mathematics-MA): Sequence of Real Number

Ajay Kumar

This course covers the concepts of - Sequence of real number

(Hindi) IIT JAM Mathematics

Satveer Singh ( B.Sc. +M.Sc. (Mathematics) )under University of Rajasthan , Jaipur 
 Two years experience in St. Xavier PG College ,Jaipur

Satveer Singh

In this course, Satveer Singh will discuss about The sequence and series of real No. and related  properties and examples will be discussed. Students looking forward to strengthen their Basics in Real sequence and series will benefit from the course.

(Hindi) IIT-JAM: Sequence, and Series of Real Numbers

 ||Integrated Msc In Mathematics and 
Computing||.I believe in success through hard work & dedication.

Anisha Agarwal

This Course covers Sequence and Series of Real Number. 
This Course is beneficial for IIT-JAM (Mathematics-MA) aspirants.

Sequence and Series of Real Number : IIT-JAM (Mathematics-MA)

In this course, educator will be teaching about
 the chapter Sequences of real Numbers.
Now in this lecture we'll discussing all the Important topic related to Series of Real Numbers.

If you like my lectures then please Do Rate & Review my courses.

(Hindi) IIT-JAM: Series of Real Numbers (Real Analysis)

Lessons

40 lessons • 7h 13m

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Overview of the Course (in Hindi)

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Lecture 1: Definition of Sequence (in Hindi)

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Lecture 2: Bounded Sequences (in Hindi)

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Lecture 3: Monotonic sequences (in Hindi)

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Lecture 4: Eventual Nature of a sequence (in Hindi)

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Lecture 5: Subsequence and complementary subsequences (in Hindi)

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Lecture 6: Limit point of a sequence & Bolzano Weierstrass Theorem (in Hindi)

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Lecture 7: Limit of a sequence & convergent sequence (in Hindi)

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Lecture 8: Uniqueness Theorem of limit, Divergent & Oscillatory Sequence (in Hindi)

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Lecture 9: Example of convergent sequence (in Hindi)

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