Basic Calculus _ 1 6B09BCPBY9

URI	`m2://res/6B09BCPBY9`
Kind	course
Creators	Arindama Singh (instructor)
Date	2021-06-08
Scope	in
Ids	course 03v0r5n49:111106146

Expressions

e1: edition

Language	en
Date	2021-06-08

m1: page, IIT Madras (record). nptel 111106146
m2: page, 2021-06-08 (record). nptel 111106146

Contents

part 1: Week 1
session 1: The Real line - Part 1
session 2: The Real line - Part 2
session 3: Absolute value - Part 1
session 4: Absolute value - Part 2
session 5: Functions - Part 1
session 6: Functions - Part 2
part 2: Week 2
session 7: Transcendental and trigonometric Functions - Part 1
session 8: Transcendental and trigonometric Functions - Part 2
session 9: Limits of functions - Part 1
session 10: Limits of functions - Part 2
session 11: Algebra of limits - Part 1
session 12: Algebra of limits - Part 2
part 3: Week 3
session 13: One-sided limits - Part 1
session 14: One-sided limits - Part 2
session 15: Limits at infinity - Part 1
session 16: Limits at infinity - Part 2
session 17: Infinite limits - Part 1
session 18: Infinite limits - Part 2
part 4: Week 4
session 19: Continuity - Part 1
session 20: Continuity - Part 2
session 21: Algebra of continuous functions - Part 1
session 22: Algebra of continuous functions - Part 2
session 23: Results on continuity - Part 1
session 24: Results on continuity - Part 2
part 5: Week 5
session 25: Differentiability - Part 1
session 26: Differentiability - Part 2
session 27: Derivative and tangent - Part 1
session 28: Derivative and tangent - Part 2
session 29: Rules of differentiation - Part 1
session 30: Rules of differentiation - Part 2
part 6: Week 6
session 31: Differentiation exercises - Part 1
session 32: Differentiation exercises - Part 2
session 33: Maxima and minima - Part 1
session 34: Maxima and minima - Part 2
session 35: Rolle's theorem and mean value theorem - Part 1
session 36: Rolle's theorem and mean value theorem - Part 2
part 7: Week 7
session 37: Using Rolle's theorem and Mean value theorem - Part 1
session 38: Using Rolle's theorem and Mean value theorem - Part 2
session 39: First derivative test - Part 1
session 40: First derivative test - Part 2
session 41: Second derivative test - Part 1
session 42: Second derivative test - Part 2
part 8: Week 8
session 43: Concavity - Part 1
session 44: Concavity - Part 2
session 45: Linearization and differential - Part 1
session 46: Linearization and differential - Part 2
session 47: L'Hospital's rules - Part 1
session 48: L'Hospital's rules - Part 2
part 9: Week 9
session 49: Definite integral - Part 1
session 50: Definite integral - Part 2
session 51: Properties of integral - Part 1
session 52: Properties of integral - Part 2
session 53: Fundamental theorem of calculus - Part 1
session 54: Fundamental theorem of calculus - Part 2
part 10: Week 10
session 55: Applications of Funda - mental theorem of calculus - Part 1
session 56: Applications of Funda - mental theorem of calculus - Part 2
session 57: Rule of substitution - Part 1
session 58: Rule of substitution - Part 2
session 59: Area between curves - Part 1
session 60: Area between curves - Part 2
part 11: Week 11
session 61: Volumes by slicing - Part 1
session 62: Volumes by slicing - Part 2
session 63: The disk method - Part 1
session 64: The disk method - Part 2
session 65: The washer method - Part 1
session 66: The washer method - Part 2
part 12: Week 12
session 67: Volumes by cylindrical shells - Part 1
session 68: Volumes by cylindrical shells - Part 2
session 69: Lengths oc curves - Part 1
session 70: Lengths oc curves - Part 2
session 71: Areas of surface of revolution - Part 1
session 72: Areas of surface of revolution - Part 2
part 13: Live Session
session 73: Live Session 03-03-2021

Catalogue records

nptel: 111106146 (manifestation)
nptel_video: 111106146 (manifestation)