Dipankar Ghosh

@UCW9heAySBZGCqGfQDHuj7GQ - 1.7K subscribers

This channel is a collection of my lectures delivered online to Undergraduate, Postgraduate and PhD students. I am an Assistant Professor of Mathematics at Indian Institute of Technology Kharagpur (IIT Kharagpur). For more details, you may visit my website given below.

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Castelnuovo-Mumford regularity, and its linear bounds on powers of ideals and Ext modules

Castelnuovo-Mumford regularity, and its linear bounds on powers of ideals and Ext modules Dipankar Ghosh

463 views - 4 years ago

Module theory - Lecture 15 - Noetherian modules

Module theory - Lecture 15 - Noetherian modules Dipankar Ghosh

2.5K views - 4 years ago

Castelnuovo-Mumford regularity and its applications

Castelnuovo-Mumford regularity and its applications Dipankar Ghosh

517 views - 4 years ago

Calculus - Lecture 26 - Properties of differentiable functions

Calculus - Lecture 26 - Properties of differentiable functions Dipankar Ghosh

2.1K views - 5 years ago

Calculus - Lecture 25 - Differentiability of functions of single variable

Calculus - Lecture 25 - Differentiability of functions of single variable Dipankar Ghosh

1.4K views - 5 years ago

Calculus - Lecture 24 - Four properties of continuous functions

Calculus - Lecture 24 - Four properties of continuous functions Dipankar Ghosh

3K views - 5 years ago

Calculus - Lecture 23 - Continuity of functions of single variables

Calculus - Lecture 23 - Continuity of functions of single variables Dipankar Ghosh

2.4K views - 5 years ago

Calculus - Lecture 22 - Left and right hand limits of functions

Calculus - Lecture 22 - Left and right hand limits of functions Dipankar Ghosh

1.1K views - 5 years ago

Calculus - Lecture 21 - Sandwich Theorem for Functions

Calculus - Lecture 21 - Sandwich Theorem for Functions Dipankar Ghosh

1.1K views - 5 years ago

Calculus - Lecture 20 - Limits and algebraic operations of functions

Calculus - Lecture 20 - Limits and algebraic operations of functions Dipankar Ghosh

1.3K views - 5 years ago

Calculus - Lecture 19 - Limit of a function, Its epsilon-delta definition

Calculus - Lecture 19 - Limit of a function, Its epsilon-delta definition Dipankar Ghosh

1.8K views - 5 years ago

Calculus - Lecture 18 - Limit of a function via the sequences

Calculus - Lecture 18 - Limit of a function via the sequences Dipankar Ghosh

1.9K views - 5 years ago

Calculus - Lecture 17 - Leibnitz’s Test for alternating series

Calculus - Lecture 17 - Leibnitz’s Test for alternating series Dipankar Ghosh

1.5K views - 5 years ago

Calculus - Lecture 16 - Ratio, Root and Integral tests for series of real numbers

Calculus - Lecture 16 - Ratio, Root and Integral tests for series of real numbers Dipankar Ghosh

1.4K views - 5 years ago

Calculus - Lecture 15 - Comparison tests for series of real numbers

Calculus - Lecture 15 - Comparison tests for series of real numbers Dipankar Ghosh

1.7K views - 5 years ago

Calculus - Lecture 14 - Series of positive real numbers

Calculus - Lecture 14 - Series of positive real numbers Dipankar Ghosh

1.6K views - 5 years ago

Calculus - Lecture 13 - Geometric series

Calculus - Lecture 13 - Geometric series Dipankar Ghosh

1.1K views - 5 years ago

Calculus - Lecture 12 - Cauchy’s criterion for a series of real numbers

Calculus - Lecture 12 - Cauchy’s criterion for a series of real numbers Dipankar Ghosh

1.9K views - 5 years ago

Calculus - Lecture 11 - Series of real numbers: Convergence and divergence

Calculus - Lecture 11 - Series of real numbers: Convergence and divergence Dipankar Ghosh

2.3K views - 5 years ago

Calculus - Lecture 10 - Ratio and Root Tests

Calculus - Lecture 10 - Ratio and Root Tests Dipankar Ghosh

1.6K views - 5 years ago

Calculus - Lecture 9 - Cauchy sequence

Calculus - Lecture 9 - Cauchy sequence Dipankar Ghosh

2K views - 5 years ago

Calculus - Lecture 8 - Subsequences

Calculus - Lecture 8 - Subsequences Dipankar Ghosh

2.5K views - 5 years ago

Calculus - Lecture 7 - Monotone sequence

Calculus - Lecture 7 - Monotone sequence Dipankar Ghosh

2K views - 5 years ago

Calculus - Lecture 6 - Sandwich Theorem

Calculus - Lecture 6 - Sandwich Theorem Dipankar Ghosh

1.8K views - 5 years ago

Calculus - Lecture 5 - Limits and algebraic operations on sequences

Calculus - Lecture 5 - Limits and algebraic operations on sequences Dipankar Ghosh

2.9K views - 5 years ago

Calculus - Lecture 4 - Convergent sequences are bounded

Calculus - Lecture 4 - Convergent sequences are bounded Dipankar Ghosh

2.3K views - 5 years ago

Calculus - Lecture 3 - Uniqueness of limits of a sequence

Calculus - Lecture 3 - Uniqueness of limits of a sequence Dipankar Ghosh

2.5K views - 5 years ago

Calculus - Lecture 2 - Limit of a sequence of real numbers

Calculus - Lecture 2 - Limit of a sequence of real numbers Dipankar Ghosh

4K views - 5 years ago

Calculus - Lecture 1 - Introduction to sequence of real numbers

Calculus - Lecture 1 - Introduction to sequence of real numbers Dipankar Ghosh

4.8K views - 5 years ago

Calculus - Lecture 0 - Introduction

Calculus - Lecture 0 - Introduction Dipankar Ghosh

7.5K views - 5 years ago

Module theory - Lecture 14 - Schanuel’s Lemma

Module theory - Lecture 14 - Schanuel’s Lemma Dipankar Ghosh

1.5K views - 5 years ago

Module theory - Lecture 13 - Injective modules

Module theory - Lecture 13 - Injective modules Dipankar Ghosh

5.1K views - 5 years ago

Module theory - Lecture 12.2 - Snake Lemma

Module theory - Lecture 12.2 - Snake Lemma Dipankar Ghosh

2.6K views - 5 years ago

Module theory - Lecture 12.1 - Five Lemma

Module theory - Lecture 12.1 - Five Lemma Dipankar Ghosh

6.4K views - 5 years ago

Module theory - Lecture 11 - Projective modules

Module theory - Lecture 11 - Projective modules Dipankar Ghosh

6.8K views - 5 years ago

Module theory - Lecture 10 - Hom functors are left exact

Module theory - Lecture 10 - Hom functors are left exact Dipankar Ghosh

3.3K views - 5 years ago

Module theory - Lecture 9.2 - Functors

Module theory - Lecture 9.2 - Functors Dipankar Ghosh

3.1K views - 5 years ago

Module theory - Lecture 9.1 - Categories

Module theory - Lecture 9.1 - Categories Dipankar Ghosh

3.1K views - 5 years ago

Module theory - Lecture 8 - Exact sequence of modules

Module theory - Lecture 8 - Exact sequence of modules Dipankar Ghosh

9.7K views - 5 years ago

Module theory - Lecture 7 - Simple and Semisimple Modules

Module theory - Lecture 7 - Simple and Semisimple Modules Dipankar Ghosh

6.7K views - 5 years ago

Module theory - Lecture 6 - Vector spaces vs Free modules

Module theory - Lecture 6 - Vector spaces vs Free modules Dipankar Ghosh

5.1K views - 5 years ago

Module theory - Lecture 5 - Free modules

Module theory - Lecture 5 - Free modules Dipankar Ghosh

12K views - 5 years ago

Module theory - Lecture 4 - Direct products and direct sums of modules

Module theory - Lecture 4 - Direct products and direct sums of modules Dipankar Ghosh

13K views - 5 years ago

Module theory - Lecture 3 - Quotient modules and isomorphism theorems

Module theory - Lecture 3 - Quotient modules and isomorphism theorems Dipankar Ghosh

11K views - 5 years ago

Module theory - Lecture 2 - Module homomorphisms

Module theory - Lecture 2 - Module homomorphisms Dipankar Ghosh

14K views - 5 years ago

Module theory - Lecture 1 - Modules and submodules

Module theory - Lecture 1 - Modules and submodules Dipankar Ghosh

37K views - 5 years ago

Local Cohomology - Lecture 2 - The right derived functors of the I-torsion functor

Local Cohomology - Lecture 2 - The right derived functors of the I-torsion functor Dipankar Ghosh

834 views - 5 years ago

Local Cohomology - Lecture 1 - Revision of injective modules, and I-torsion functors

Local Cohomology - Lecture 1 - Revision of injective modules, and I-torsion functors Dipankar Ghosh

1.6K views - 5 years ago