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Pankaj Kumar

This course starts with behavior of Real Numbers as a Ordered field Structure and goes up to convergence of Series of Real numbers via many interesting concepts.

Crack CSIR NET by studying MATHEMATICS, PHYSICS, LIFE SCIENCE, CHEMISTRY, EARTH SCIENCE on one online platform. Everything you need to crack JRF.

CSIR-UGC NET

English

Real Analysis (Course-01): CSIR UGC NET

Sets & Number System

Analysis

Mathematical Sciences

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

Set of Reals has started as an order field Structure.

Behavior of Real Numbers

Bounded Above Subsets of R

Bounded below sets has discussed beautifully with many examples.

Bounded Below Sets

Bounded sets with various examples has discussed beautifully.

Bounded Subsets in Real Numbers

Supremum or Least upper bound has started with various examples.

Supremum or Least Upper Bound

Greatest lower Bound or Infimum has discussed beautifully with various examples .

Greatest Lower Bound or Infimum of a subset of Real Numbers

Method to get the Infimum and Supremum has discussed beautifully with Examples.

Method to get infimum(g.l.b.) and Supremum (l.u.b.) for the Subsets of Real Numbers

Supremum and Infimum of Subsets of Real Numbers continued with interesting Examples.

Infimum and Supremum of Subsets of Real Numbers continued.,...

Archimedean property with Examples and Applications has done beautifully.

Archimedean Property in Real Analysis

Proofs by using Archimedean property & Neighborhood of a point of Subsets of R has discussed beautifully with Examples.

Proof by Archimedean property & Neighborhood of a Subsets of Real Numbers

Neighborhood of Subsets of Real Numbers has discussed beautifully.

Examples of Neighborhood of Subsets of Real Numbers.

CSIR-UGC-NET 2016 & 2017, MSQ, SECTION-C QUESTION HAS DISCUSSED BEAUTIFULLY.

CSIR-UGC-NET , 2016-17 QUESTION DISCUSSION

Open sets in Real Analysis has discussed with Examples beautifully.

Open Sets in Real Analysis

CsirUgcNet PROBLEMS has discussed beautifully

CSIR-UGC-NET Problems in Real Analysis, Part-01

Closed sets , limit point of a set & it's Relations has DISCUSSED with Examples.

Closed sets and Limit points of a set in Real Analysis

Isolated Points and it's examples has discussed beautifully.

Isolated Points and examples

Adherent Point with properties has discussed beautifully

Adherent Point and it's Properties in Real Analysis

Closure of a set with Examples has discussed beautifully

Examples of adherent Point

Dense Set has discussed beautifully with Examples

Dense Set in Real Analysis

Interior Points with it's Properties in Real Analysis has discussed beautifully

Interior Points in Real Analysis

Interior Points with properties continues

Properties of interior Points continues

Examples of interior Points has discussed

Examples of Sets with it's Interior Points

Boundry Points of set with Examples has discussed beautifully

Boundry Points in Real Analysis

Boundry Points in Real Analysis with Examples has discussed beautifully

Boundry Points in Real Analysis with Examples

Properties of Boundry Points in Real Analysis has discussed beautifully with Examples

Properties of Boundry in Real Analysis

Connected Sets in Real Analysis has discussed beautifully with Examples

Connected Sets in Real Analysis

Connectedness for Topological space has discussed beautifully

Connectedness in Topological Space

Path Connectedness has discussed beautifully with Examples

Path-Connectedness with Examples

Problems on Path Connected sets in CsirUgcNet has discussed beautifully

CSIR NET Problem Discussion n Connectedness

Csir Net Problems has DISCUSSED BEAUTIFULLY with Concepts

CsiR- Net Problems on Connectedness, Part-02

Functions and it's definition has DISCUSSED BEAUTIFULLY

Functions and it's Properties for CSIR -NET Exams

To find no of One-One Functions, or Many one Functions

Functions and it's Properties, Part-02

Csir net Problems on Functions and it's Properties has discussed beautifully with Examples

CsirUgcNet PROBLEMS on Functions and it's Properties

CSIR NET Problem has DISCUSSED on Functions and it's Properties

CSIR NET Problem Discussion on Functions and it's Properties

Even Odd Functions with Examples has discussed beautifully

Csir Net Even Odd Concepts

Properties and Concepts of Even and odd Functions

CSIR -NET , Even Odd part-02

Monotonically increasing Functions and Strictly increasing Functions has DISCUSSED BEAUTIFULLY

Monotonic Functions , CSIR NET Concepts

Monotonic Functions, part-02, Results has DISCUSSED

Monotonic Functions, part-02

Cardinality of Sets has DISCUSSED BEAUTIFULLY with Examples

Countable & Uncountable Sets in Real Analysis

Finite Sets, Countable Sets and Uncountable Sets has DISCUSSED BEAUTIFULLY with Examples

Countable and Uncountable Sets, Part-02

Countable Sets and it's Properties has discussed beautifully

Countable and Uncountable Sets , Part-03

Concepts of Countable and Uncountable Sets continues

Countable and Uncountable Sets, part-04

Rationals are Countable has discussed with proof & Examples

Countable and Uncountable Sets , Part-05

Reals and Open intervals are Uncountable has proved beautifully

Countable and Uncountable Sets , Part-06

Cardinality Problems has DISCUSSED BEAUTIFULLY

Countable and Uncountable Sets, Part-07

Csir net Problems has discussed, Section C , June 2015

Countable & Uncountable Sets, Part-08

Csir net Problems Discussion is going on contains the Concept of Countable and Uncountable Sets

Csir net Problems Discussion , Part-09 of Countable and Uncountable sets

Csir net Problems has DISCUSSED on Countability, 4.75 marks, Section-C, June 2012

Countable and Uncountable Sets, Part-10

Csir net Problems Discussion , June-2018, 4.75 marks

Csir net Problems, June-18, 4.75 marks, part-11

Unforgettable Results on Countability has DISCUSSED with proof

Unforgettable Results on Countability, part-12

Unforgettable Results has proved on Countability in real Analysis.

Unforgettable Results on Countability, Part-13

Unforgettable Results on Countability has proved beautifully

Unforgettable Results, Part-14

Unforgettable Results on Countability has proved.

Unforgettable Results on Countability, Part-15

Unforgettable Results on Countability, Part-16

CsirNet Question -2016 , 4.75 marks has DISCUSSED BEAUTIFULLY

CsirNet Problems-2016, 4.75 marks on Countability

Net 4.75 marks type Question on Countability has discussed beautifully

Net 4.75 marks , Section-C type Question Discussion

Countability of Set of Algebraic and not Algebraic numbers

NTA-NET , 4.75 MARKS TYPE QUESTION ON COUNTABILITY

NTA - NET MSQ TYPE QUESTION , COUNTABILITY, PART-20

NTA-NET MSQ QUESTION ON COUNTABILITY, PART-20

Sequence of Real Numbers (introduction)

Types of Sequence has discussed beautifully

Types of Sequences, Part-02

New Batch course is going to be started that will cover Complex,ODE, PDE,REAL ANALYSIS ETC.

Detailed Course in Complex Analysis & Differential equations

CSIR SPARK COURSE IN REAL ANALYSIS IS DEDICATED FOR CSIR JUNE 2021. USE REFFERAL CODE PKMATHS TO GET SUBSCRIPTION.

CSIR SPARK COURSE in REAL ANALYSIS

In this course, the educator discusses the Improper integrals and its Convergence with Proofs of Theorems will help B.Sc. /B. Tech Maths students, Previous year Questions of the net, gate, JAM has also included.

Improper integrals|Real Analysis Course-03: CSIR UGC NET

(Hindi) CSIR-UGC NET | Improper integrals | Real Analysis Course-03

This Course starts with the concepts of limit and later it gives idea and strategy to solve the Problems on Continuity for CSIR-UGC NET

(Hindi) Continuity and Uniform Continuity (Analysis, Course-04) : CSIR-UGC NET

This course contains the fundamental behavior of Real Numbers as a Ordered field Structure, Archimean Properties and Fundamental of Real Analysis.

(Hindi) Real Analysis (Course - 01) Fundamental Behavior of Real Numbers

Unlock Code - AnushaJ | Plus Educator | Assistant Professor | 5 years Teaching experience | Telegram Channel - MATHSQUARE

Anusha Jain

Know everything about functions, limit from this course.Each and every point is well explained from basics. after watching this course you will understand every concept of functions and limit. we will cover all types according to CSIR NET exam.

(Hindi) Function and Limit: CSIR-UGC NET

Know everything about Continuity, discontinuity & Differentiability from this course. after watching this course you will understand every concept of cont.& diff. we will cover all types according to CSIR NET exam.

Lessons

63 lessons • 1h 1m

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Behavior of Real Numbers

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Bounded Above Subsets of R

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Bounded Below Sets

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Bounded Subsets in Real Numbers

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Supremum or Least Upper Bound

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Greatest Lower Bound or Infimum of a subset of Real Numbers

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Method to get infimum(g.l.b.) and Supremum (l.u.b.) for the Subsets of Real Numbers

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Infimum and Supremum of Subsets of Real Numbers continued.,...

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Archimedean Property in Real Analysis

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Proof by Archimedean property & Neighborhood of a Subsets of Real Numbers

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