NPTEL : NOC:Basic Calculus 1 (Mathematics)

Co-ordinators : Prof. Arindama Singh


Lecture 1 - The Real line - Part 1

Lecture 2 - The Real line - Part 2

Lecture 3 - Absolute value - Part 1

Lecture 4 - Absolute value - Part 2

Lecture 5 - Functions - Part 1

Lecture 6 - Functions - Part 2

Lecture 7 - Transcendental and trigonometric Functions - Part 1

Lecture 8 - Transcendental and trigonometric Functions - Part 2

Lecture 9 - Limits of functions - Part 1

Lecture 10 - Limits of functions - Part 2

Lecture 11 - Algebra of limits - Part 1

Lecture 12 - Algebra of limits - Part 2

Lecture 13 - One-sided limits - Part 1

Lecture 14 - One-sided limits - Part 2

Lecture 15 - Limits at infinity - Part 1

Lecture 16 - Limits at infinity - Part 2

Lecture 17 - Infinite limits - Part 1

Lecture 18 - Infinite limits - Part 2

Lecture 19 - Continuity - Part 1

Lecture 20 - Continuity - Part 2

Lecture 21 - Algebra of continuous functions - Part 1

Lecture 22 - Algebra of continuous functions - Part 2

Lecture 23 - Results on continuity - Part 1

Lecture 24 - Results on continuity - Part 2

Lecture 25 - Differentiability - Part 1

Lecture 26 - Differentiability - Part 2

Lecture 27 - Derivative and tangent - Part 1

Lecture 28 - Derivative and tangent - Part 2

Lecture 29 - Rules of differentiation - Part 1

Lecture 30 - Rules of differentiation - Part 2

Lecture 31 - Differentiation exercises - Part 1

Lecture 32 - Differentiation exercises - Part 2

Lecture 33 - Maxima and minima - Part 1

Lecture 34 - Maxima and minima - Part 2

Lecture 35 - Rolle’s theorem and mean value theorem - Part 1

Lecture 36 - Rolle’s theorem and mean value theorem - Part 2

Lecture 37 - Using Rolle’s theorem and Mean value theorem - Part 1

Lecture 38 - Using Rolle’s theorem and Mean value theorem - Part 2

Lecture 39 - First derivative test - Part 1

Lecture 40 - First derivative test - Part 2

Lecture 41 - Second derivative test - Part 1

Lecture 42 - Second derivative test - Part 2

Lecture 43 - Concavity - Part 1

Lecture 44 - Concavity - Part 2

Lecture 45 - Linearization and differential - Part 1

Lecture 46 - Linearization and differential - Part 2

Lecture 47 - L’Hospital’s rules - Part 1

Lecture 48 - L’Hospital’s rules - Part 2

Lecture 49 - Definite integral - Part 1

Lecture 50 - Definite integral - Part 2

Lecture 51 - Properties of integral - Part 1

Lecture 52 - Properties of integral - Part 2

Lecture 53 - Fundamental theorem of calculus - Part 1

Lecture 54 - Fundamental theorem of calculus - Part 2

Lecture 55 - Applications of Funda - mental theorem of calculus - Part 1

Lecture 56 - Applications of Funda - mental theorem of calculus - Part 2

Lecture 57 - Rule of substitution - Part 1

Lecture 58 - Rule of substitution - Part 2

Lecture 59 - Area between curves - Part 1

Lecture 60 - Area between curves - Part 2

Lecture 61 - Volumes by slicing - Part 1

Lecture 62 - Volumes by slicing - Part 2

Lecture 63 - The disk method - Part 1

Lecture 64 - The disk method - Part 2

Lecture 65 - The washer method - Part 1

Lecture 66 - The washer method - Part 2

Lecture 67 - Volumes by cylindrical shells - Part 1

Lecture 68 - Volumes by cylindrical shells - Part 2

Lecture 69 - Lengths oc curves - Part 1

Lecture 70 - Lengths oc curves - Part 2

Lecture 71 - Areas of surface of revolution - Part 1

Lecture 72 - Areas of surface of revolution - Part 2