Basic Real Analysis R4QY0CPN80

URI	`m2://res/R4QY0CPN80`
Kind	course
Creators	I. K. Rana (instructor)
Date	2020-01-20
Scope	in
Ids	course 02qyf5152:111101134

Expressions

e1: edition

Language	en
Date	2020-01-20

m1: page, IIT Bombay (record). nptel 111101134
m2: page, 2020-01-20 (record). nptel 111101134

Contents

part 1: Week 1
session 1: Lecture 1 : Real Numbers and Sequences - Part I
session 2: Lecture 2 : Real Numbers and Sequences - Part II
session 3: Lecture 3 : Real Numbers and Sequences - Part III
session 4: Lecture 4 : Convergence of Sequences - Part I
session 5: Lecture 5 : Convergence of Sequences - Part II
session 6: Lecture 6 : Convergence of Sequences - Part III
part 2: Week 2
session 7: Lecture 7 : The LUB Property and Consequences - Part I
session 8: Lecture 8 : The LUB Property and Consequences - Part II
session 9: Lecture 9 : The LUB Property and Consequences - Part III
session 10: Lecture 10 : Topology of Real Numbers: Closed Sets - Part I
session 11: Lecture 11 : Topology of Real Numbers: Closed Sets - Part II
session 12: Lecture 12 : Topology of Real Numbers: Closed Sets - Part III
part 3: Week 3
session 13: Lecture 13 : Topology of Real Numbers: Limit Points, Interior Points, Open Sets and Compact Sets - Part I
session 14: Lecture 14 : Topology of Real Numbers: Limit Points, Interior Points, Open Sets and Compact Sets - Part II
session 15: Lecture 15 : Topology of Real Numbers: Limit Points, Interior Points, Open Sets and Compact Sets - Part III
session 16: Lecture 16 : Topology of Real Numbers: Compact Sets and Connected Sets - Part I
session 17: Lecture 17 : Topology of Real Numbers: Compact Sets and Connected Sets - Part II
session 18: Lecture 18 : Topology of Real Numbers: Compact Sets and Connected Sets - Part III
part 4: Week 4
session 19: Lecture 19 : Topology of Real Numbers: Connected Sets; Limits and Continuity - Part I
session 20: Lecture 20 : Topology of Real Numbers: Connected Sets; Limits and Continuity - Part II
session 21: Lecture 21 : Topology of Real Numbers: Connected Sets; Limits and Continuity - Part III
session 22: Lecture 22 : Continuity and Uniform continuity - Part I
session 23: Lecture 23 : Continuity and Uniform continuity - Part II
session 24: Lecture 24 : Continuity and Uniform continuity - Part III
part 5: Week 5
session 25: Lecture 25 : Uniform continuity and connected sets - Part I
session 26: Lecture 26 : Uniform continuity and connected sets - Part II
session 27: Lecture 27 : Uniform continuity and connected sets - Part III
session 28: Lecture 28 : Connected sets and continuity - Part I
session 29: Lecture 29 : Connected sets and continuity - Part II
session 30: Lecture 30 : Connected sets and continuity - Part III
part 6: Week 6
session 31: Lecture 31 : Differentiability - Part I
session 32: Lecture 32 : Differentiability - Part II
session 33: Lecture 33 : Differentiability - Part III
session 34: Lecture 34 : Differentiability - Part IV
session 35: Lecture 35 : Differentiability - Part V
session 36: Lecture 36 : Differentiability - Part VI
part 7: Week 7
session 37: Lecture 37 : Riemann Integration - Part I
session 38: Lecture 38 : Riemann Integration - Part II
session 39: Lecture 39 : Riemann Integration - Part III
session 40: Lecture 40 : Riemann Integration - Part IV
session 41: Lecture 41 : Riemann Integration - Part V
part 8: Week 8
session 42: Lecture 42 : Riemann Integration - Part VI
session 43: Lecture 43 : Riemann Sum and Riemann Integrals - Part I
session 44: Lecture 44 : Riemann Sum and Riemann Integrals - Part II
session 45: Lecture 45 : Riemann Sum and Riemann Integrals - Part III
part 9: Week 9
session 46: Lecture 46 : Optimization in several variables - Part I
session 47: Lecture 47 : Optimization in several variables - Part II
session 48: Lecture 48 : Optimization in several variables - Part III
session 49: Lecture 49 : Integration in several variables - Part I
session 50: Lecture 50 : Integration in several variables - Part II
session 51: Lecture 51 : Integration in several variables - Part III
part 10: Week 10
session 52: Lecture 52 : Change of variables - Part I
session 53: Lecture 53 : Change of variables - Part II
session 54: Lecture 54 : Change of variables - Part III
session 55: Lecture 55 : Change of variables - Part IV
session 56: Lecture 56 : Metric Spaces - Part I
session 57: Lecture 57 : Metric Spaces - Part II
part 11: Week 11
session 58: Lecture 58 : Metric Spaces - Part III
session 59: Lecture 59 : L^p Metrics - Part I
session 60: Lecture 60 : L^p Metrics - Part II
session 61: Lecture 61 : L^p Metrics - Part III
session 62: Lecture 62 : Pointwise and Uniform convergence - Part I
session 63: Lecture 63 : Pointwise and Uniform convergence - Part II
part 12: Week 12
session 64: Lecture 64 : Pointwise and Uniform convergence - Part III
session 65: Lecture 65 : Pointwise and Uniform convergence - Part IV
session 66: Lecture 66 : Series of Numbers - Part I
session 67: Lecture 67 : Series of Numbers - Part II
session 68: Lecture 68 : Series of Numbers - Part III
session 69: Lecture 69 : Alternating Series and Power Series
part 13: Live Session
session 70: Live Session 23-02-2021
session 71: Live Session 26-03-2021
session 72: Live Session 06-03-2020

Catalogue records

nptel: 111101134 (manifestation)
nptel_video: 111101134 (manifestation)