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Overview of the Course (in Hindi)
Lesson 1 of 40 • 321 upvotes • 7:50mins
Upendra Yadav
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. You can follow me on Unacademy for the latest notification. And Thanku very much. Have a good day. 😊😊
(Hindi) Real Analysis: Sequences of Real Numbers
40 lessons • 7h 13m
1
Overview of the Course (in Hindi)
7:50mins
2
Lecture 1: Definition of Sequence (in Hindi)
13:16mins
3
Lecture 2: Bounded Sequences (in Hindi)
11:02mins
4
Lecture 3: Monotonic sequences (in Hindi)
10:10mins
5
Lecture 4: Eventual Nature of a sequence (in Hindi)
7:31mins
6
Lecture 5: Subsequence and complementary subsequences (in Hindi)
10:24mins
7
Lecture 6: Limit point of a sequence & Bolzano Weierstrass Theorem (in Hindi)
15:00mins
8
Lecture 7: Limit of a sequence & convergent sequence (in Hindi)
9:14mins
9
Lecture 8: Uniqueness Theorem of limit, Divergent & Oscillatory Sequence (in Hindi)
12:39mins
10
Lecture 9: Example of convergent sequence (in Hindi)
11:06mins
11
Lecture 10: Example of convergent sequence (in Hindi)
11:01mins
12
Lecture 11: Example of convergent sequence (in Hindi)
11:04mins
13
Lecture 12: Some Important limit theorems || Theorem 1 - 10 (in Hindi)
10:05mins
14
Lecture 13: Some important limit theorems || Theorem 11 - 15 (in Hindi)
11:03mins
15
Lecture 14: Applications of Theorem -15 (in Hindi)
9:12mins
16
Lecture 15: Monotone converges theorem & Cantor Intersection theorem (in Hindi)
10:31mins
17
Lecture 16: An Example to understand Monotone converges theorem (in Hindi)
12:01mins
18
Lecture 17: Solved Examples (in Hindi)
9:39mins
19
Lecture 18: Solved Examples (in Hindi)
9:08mins
20
Lecture 19: Solved Examples (in Hindi)
9:32mins
21
Lecture 20: Solved Examples (in Hindi)
11:21mins
22
Lecture 21: Subsequences (in Hindi)
10:38mins
23
Lecture 22: Subsequences and Its Related Theorems (in Hindi)
12:25mins
24
Lecture 23: Examples based on Subsequences (in Hindi)
15:00mins
25
Lecture 24: Limit Superior and its Example || Advanced Analysis of a Sequence (in Hindi)
10:03mins
26
Lecture 25: Limit Inferior and its Examples (in Hindi)
11:10mins
27
Lecture 26: Convergen,Divergent & Oscillatory Sequence || Advanced Analysis of a sequence (in Hindi)
13:06mins
28
Lecture 27: Properties of Limit Superior and Limit Inferior (in Hindi)
8:44mins
29
Lecture 28: Solved Examples || Limit Superior and Limit Inferior (in Hindi)
11:41mins
30
Lecture 29: Solved Examples || Limit Superior & Limit Inferior (in Hindi)
11:33mins
31
Lecture 30: Sequences of Natural Numbers (in Hindi)
10:40mins
32
Lecture 31: Cauchy sequence (in Hindi)
10:11mins
33
Lecture 32: Cauchy Sequence || Theorems (in Hindi)
11:01mins
34
Lecture 33: Cauchy Criterion for Convergence (in Hindi)
10:08mins
35
Lecture 34: Solved Examples || Cauchy Sequence (in Hindi)
13:35mins
36
Lecture 35: Cauchy's first Theorem on limit (in Hindi)
11:19mins
37
Lecture 36: Cauchy's second Theorem on Limit (in Hindi)
10:31mins
38
Lecture 37: Solved Examples (in Hindi)
11:48mins
39
Lecture 38: Solved Examples (in Hindi)
10:05mins
40
Lecture 39: Solved Examples (in Hindi)
7:03mins
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