M. Sc. Mathematics(IIT Kanpur),Qualified IIT JAM (AIR-63 2016),CSIR-NET JRF(AIR-125 Dec 2017) and GATE (AIR-72 2018), pursuing Ph.D in Math

Ankita Gupta

In this course, the educator will follow precisely CSIR NET syllabus for mathematics. It will also be helpful for students preparing for  IIT JAM Mathematics, TIFR, CMI and. other entrance exams.

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

Hindi

(Hindi) Real Analysis: CSIR UGC NET

Sets & Number System

Analysis

Mathematical Sciences

NET Exams

Ace the toughest competitive and government exams in India 

Test Preparation

What is a set and its power set?
( This lesson is useful for both CSIR NET and IIT JAM preparing students)

Part 1- Set Theory (in Hindi)

Cardinality of power sets
( This lesson is useful for both CSIR NET and IIT JAM preparing students)

Part 2- Set Theory (in Hindi)

Cartesian product of sets, union and intersection of sets.
( This lesson is useful for both CSIR NET and IIT JAM preparing students)

Part 3- Set Theory (in Hindi)

Disjoint and Difference of two sets.
Definition of Functions (Useful for both CSIR-NET and IIT JAM preparing students)

Part 4- Functions (in Hindi)

Injective and Surjective Functions and Counting of number of One-One functions ( Useful for both CSIR-NET and IIT JAM preparing students)

Part 5- Functions (in Hindi)

Count of onto functions and other types of functions (Useful for both CSIR NET and IIT JAM preparing students)

Part-6 Functions (in hindi)

Bijective and Invertible Functions (Useful for both CSIR NET and IIT JAM preparing students)

Part 7- Functions (in hindi)

Definition of Similar, Countable and uncountable sets

What is a countable set? ( in hindi)

Examples of Countable Sets (in hindi)

Some more examples and results on countable sets

Examples of Countable (in hindi)

More on Countable Sets (in hindi)

Cardinal and transfinite numbers.
Arithmetic of Cardinal numbers

Cardinal Numbers (in hindi)

Algebraic and Transcendental number.
Examples of uncountable sets

Uncountable Sets (in hindi)

Definition of bounded sets, upper and lower bound of sets, Greatest and smallest elements of a set

Point set Topology (in hindi)

Supremum and Infimum (in hindi)

Some more on Infimum and Supremum, Archimedian property of Real Numbers, Order Completeness Property(OCP) and definition of Intervals

More on Supremum and Infimum

Neighborhood of a point (in hindi)

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Pankaj Kumar

This course contains the intuitive and ultimate concepts of Riemann integration dedicated to CSIR NET, GATE, B.SC., M.SC. etc.

(Hindi) Riemann Integration Analysis 2: CSIR-UGC NET

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

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

17 lessons • 2h 55m

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Part 1- Set Theory (in Hindi)

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Part 2- Set Theory (in Hindi)

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Part 3- Set Theory (in Hindi)

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Part 4- Functions (in Hindi)

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Part 5- Functions (in Hindi)

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Part-6 Functions (in hindi)

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Part 7- Functions (in hindi)

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What is a countable set? ( in hindi)

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Examples of Countable Sets (in hindi)

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Examples of Countable (in hindi)

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