Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Prof. Hari Shankar Mahato
NPTEL Co-ordinating Institute : IIT Kharagpur
NPTEL Lecture Count : 60
NPTEL Course Size : 16 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
Lecture 1 - Partition, Riemann intergrability and One example
Lecture 2 - Partition, Riemann intergrability and One example (Continued...)
Lecture 3 - Condition of integrability
Lecture 4 - Theorems on Riemann integrations
Lecture 5 - Examples
Lecture 6 - Examples (Continued...)
Lecture 7 - Reduction formula
Lecture 8 - Reduction formula (Continued...)
Lecture 9 - Improper Integral
Lecture 10 - Improper Integral (Continued...)
Lecture 11 - Improper Integral (Continued...)
Lecture 12 - Improper Integral (Continued...)
Lecture 13 - Introduction to Beta and Gamma Function
Lecture 14 - Beta and Gamma Function
Lecture 15 - Differentiation under Integral Sign
Lecture 16 - Differentiation under Integral Sign (Continued...)
Lecture 17 - Double Integral
Lecture 18 - Double Integral over a Region E
Lecture 19 - Examples of Integral over a Region E
Lecture 20 - Change of variables in a Double Integral
Lecture 21 - Change of order of Integration
Lecture 22 - Triple Integral
Lecture 23 - Triple Integral (Continued...)
Lecture 24 - Area of Plane Region
Lecture 25 - Area of Plane Region (Continued...)
Lecture 26 - Rectification
Lecture 27 - Rectification (Continued...)
Lecture 28 - Surface Integral
Lecture 29 - Surface Integral (Continued...)
Lecture 30 - Surface Integral (Continued...)
Lecture 31 - Volume Integral, Gauss Divergence Theorem
Lecture 32 - Vector Calculus
Lecture 33 - Limit, Continuity, Differentiability
Lecture 34 - Successive Differentiation
Lecture 35 - Integration of Vector Function
Lecture 36 - Gradient of a Function
Lecture 37 - Divergence and Curl
Lecture 38 - Divergence and Curl Examples
Lecture 39 - Divergence and Curl important Identities
Lecture 40 - Level Surface Relevant Theorems
Lecture 41 - Directional Derivative (Concept and Few Results)
Lecture 42 - Directional Derivative (Concept and Few Results) (Continued...)
Lecture 43 - Directional Derivatives, Level Surfaces
Lecture 44 - Application to Mechanics
Lecture 45 - Equation of Tangent, Unit Tangent Vector
Lecture 46 - Unit Normal, Unit binormal, Equation of Normal Plane
Lecture 47 - Introduction and Derivation of Serret-Frenet Formula, few results
Lecture 48 - Example on binormal, normal tangent, Serret-Frenet Formula
Lecture 49 - Osculating Plane, Rectifying plane, Normal plane
Lecture 50 - Application to Mechanics, Velocity, speed, acceleration
Lecture 51 - Angular Momentum, Newton's Law
Lecture 52 - Example on derivation of equation of motion of particle
Lecture 53 - Line Integral
Lecture 54 - Surface integral
Lecture 55 - Surface integral (Continued...)
Lecture 56 - Green's Theorem and Example
Lecture 57 - Volume integral, Gauss theorem
Lecture 58 - Gauss divergence theorem
Lecture 59 - Stoke's Theorem
Lecture 60 - Overview of Course