Udemy
    •  
    •  
    •  
    •  
    •  
    •  
    •  
    •  
Subscribe
Turn what you know into an opportunity and reach millions around the world.
Learn More
Your cart is empty.
Keep shopping
Real Analysis Part 3_ Uniform Convergence
Rating: 4.6 out of 5(9 ratings)
208 students

Real Analysis Part 3_ Uniform Convergence

Uniform Convergence Sequence and Series of Functions, Uniform convergence, Uniform Differentiation, Uniform Integration
Created byJaswinder Kaur
Last updated 10/2024
English

What you'll learn

  • Students will learn about the Basic Concepts of Uniform Convergence Weierstrass's M_Test in solving examples for Uniform Convergence.
  • uniform convergence and continuity
  • Uniform Convergence and Integration
  • Uniform Convergence and Differentiation

Explore related topics

Course content

4 sections • 31 lectures • 11h 46m total length

  • Uniform Convergence Introduction and Cauchy Criterion on Uniform Convergence28:16

    Definition of Uniform Convergence and Proof of Cauchy Criterion of Uniform Convergence

  • Theorem on Uniform Convergence and Weierstrass's M-Test20:38

    Explanation of Theorem on Uniform Convergence  and Proof of Weierstrass's M-Test

  • Solved Assignment on Uniform Convergence19:56

    Explanation of the Examples based on Uniform Convergence using Weierstrass M- Test

  • Solved Assignment on Uniform Convergence Continued....116:30
  • Solved Assignment on Uniform Convergence Continued....230:18
  • D'Alembert Test and Comparison Test25:09

    This video explains the Examples based on D'Alembert Test and Comparison Test

  • Abel's Lemma and Abel's Test23:50
  • Assignment on Abel's Test33:03
  • Dirichlet's Test Assignment 133:38
  • Dirichlet's Test Assignment 225:13
  • Dirichlet's Test Assignment 314:55

Requirements

  • Real Analysis Part 1 Basic Topology , Real Analysis Part 2 Sequences and Series

Description

This course ' Real Analysis Part 3 Uniform Convergence equence and Series of Functions is from the content 'Real analysis' which consists of Four Sections:

1) Uniform Convergence ( Introduction) _ Explains the Basic concepts and expected Theorems  with Solved Examples ,Cauchy Criterion of Uniform Convergence , Weierstrass's M-Test (Most Important Result) , Abel's Lemma and Abel's Test , Dirichlet's Test with Solved Examples based on it.


The Theorems on Cauchy Criterion of uniform convergence with examples and assignments and Definitions.

The Definition of Weierstrass M test and its applications with important and expected Theorems based on this test and other Theorems and Proofs with examples.

Then is the Abel's lemma and Abel's test, then is the very important test Leibnitz Test with important theorems and proofs and other examples and assignments based on these tests.


Then an another very important test that is Dirichlet's Test , its Definition and theorems and proofs based on this test including many examples and assignments.


2) Uniform Convergence and Continuity_ Explains the Basic Concept and Theorems and proofs with Solved Examples and other Assignments.

3) Uniform Convergence and Integration_Explains the Theorems and proofs with Expected Solved Examples.

4) Uniform Convergence and Differentiation_Explains the Theorems and proofs with Expected Solved Examples.

Who this course is for:

  • Students preparing for UGC NET , CSIR NET EXAM , Masters in Mathematics . And , Students who are interested in doing the branch of Pure Mathematics as Real Analysis and Post Graduates in Mathematics.

Report abuse