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Pankaj Kumar

This lecture contains introduction to  intuitive arithmetic approach of Riemann integration and is helpful for all CSIR-UGC NET aspirants.

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CSIR-UGC NET

English

Riemann Integration Analysis 2: CSIR-UGC NET

Sets & Number System

Analysis

Mathematical Sciences

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Intuitive approach to Riemann integration , introduction

Introduction to Approach of Riemann Integration

Upper Riemann Sum and Lower Riemann Sum with Examples has discussed beautifully

Upper and Lower Riemann Sums with Examples

Upper Riemann integral=Lower Riemann integral implies integrability with Examples has discussed.

Upper Riemann Integral and Lower Riemann Integral with Examples

Properties of Riemann Sums Part 1

Necessary and Sufficient Condition for Riemann integrability has proved beautifully.

Necessary and Sufficient Condition for Riemann Integral

Cauchy criteria for integrability has proved and concept of mesh has discussed beautifully.

Cauchy criteria for integrability

Cauchy criteria of integrability has proved with the Concept of Mesh of a partition.

It contains the idea of integrability given by Riemann and We shall prove that how this idea is equivalent to Darboux idea.

Riemann and Darboux equivalent ideas on integrability- Proof of an interesting theorem.

Problem on Darboux integral has discussed beautifully.

Problem on Darboux integral

Every monotonic Function is RIEMANN Integrable has proved beautifully.

Monotonic Functions are Riemann integrable (Proof)

Properties and Algebra of Riemann integration has discussed beautifully with Examples .

Properties & Algebra of RIEMANN Integration

Problems in RIEMANN Integration.
Statements of some Theorems has explained beautifully.

Problems in Riemann integration

Proof of Intermediate Value Theorem & Fundamental Theorem of Calculus has discussed.

Intermediate Value Theorem for Integrals & Fundamental Theorem of Calculus (proof)

CSIR-UGC-NET PROBLEMS ON RIEMANN INTEGRATION HAS DISCUSSED CONCEPTUALLY.

CSIR-UGC-NET Question Discussion on RIEMANN Integration

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

14 lessons • 1h 16m

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Introduction to Approach of Riemann Integration

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Upper and Lower Riemann Sums with Examples

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Upper Riemann Integral and Lower Riemann Integral with Examples

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Properties of Riemann Sums Part 1

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Necessary and Sufficient Condition for Riemann Integral

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Cauchy criteria for integrability

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Cauchy criteria for integrability

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Riemann and Darboux equivalent ideas on integrability- Proof of an interesting theorem.

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Problem on Darboux integral

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Monotonic Functions are Riemann integrable (Proof)

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