Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Prof. Somesh Kumar, Prof. Jitendra Kumar
NPTEL Co-ordinating Institute : IIT Kharagpur
NPTEL Lecture Count : 60
NPTEL Course Size : 4.7 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
Lecture 1 - Rolle's Theorem
Lecture 2 - Mean Value Theorem
Lecture 3 - Taylor's Formula (Single Variable)
Lecture 4 - Indeterminate Forms - Part 1
Lecture 5 - Indeterminate Forms - Part 2
Lecture 6 - Introduction to Limit
Lecture 7 - Evaluation of Limit
Lecture 8 - Continuity
Lecture 9 - First Order Partial Derivatives
Lecture 10 - Higher Order Partial Derivatives
Lecture 11 - Differentiability - Part 1
Lecture 12 - Differentiability - Part 2
Lecture 13 - Differentiability - Part 3
Lecture 14 - Differentiability - Part 4
Lecture 15 - Composite and Homogeneous Functions
Lecture 16 - Taylor's Theorem (Multivariable)
Lecture 17 - Maxima and Minima - Part 1
Lecture 18 - Maxima and Minima - Part 2
Lecture 19 - Maxima and Minima - Part 3
Lecture 20 - Maxima and Minima - Part 4
Lecture 21 - Formation of Differential Equations
Lecture 22 - First Order and First Degree DE
Lecture 23 - Exact Differential Equations
Lecture 24 - Integrating Factor
Lecture 25 - Linear Differential Equations
Lecture 26 - Introduction to Higher Order DEs
Lecture 27 - Complementary Function
Lecture 28 - Particular Integral
Lecture 29 - Cauchy-Euler Equations
Lecture 30 - Method of Variation of Parameters
Lecture 31 - Improper Integral - Part 1
Lecture 32 - Improper Integral - Part 2
Lecture 33 - Improper Integral - Part 3
Lecture 34 - Improper Integral - Part 4
Lecture 35 - Beta and Gamma Function - Part 1
Lecture 36 - Beta and Gamma Function - Part 2
Lecture 37 - Differentiation under the Integral Sign
Lecture 38 - Double Integrals - Part 1
Lecture 39 - Double Integrals - Part 2
Lecture 40 - Double Integrals - Part 3
Lecture 41 - Double Integrals - Part 4
Lecture 42 - Double Integrals - Part 5
Lecture 43 - Double Integrals - Part 6
Lecture 44 - Triple Integrals - Part 1
Lecture 45 - Triple Integrals - Part 2
Lecture 46 - Vector Functions
Lecture 47 - Vector and Scalar Fields
Lecture 48 - Divergence and Curl of a Vector Field
Lecture 49 - Line Integrals
Lecture 50 - Conservative Vector Fields
Lecture 51 - Green's Theorem
Lecture 52 - Surface Integrals - Part 1
Lecture 53 - Surface Integrals - Part 2
Lecture 54 - Stokes' Theorem
Lecture 55 - Divergence Theorem
Lecture 56 - Application of Derivatives
Lecture 57 - Application of Derivatives (Continued...)
Lecture 58 - Properties of Gradient, Divergence and Curl
Lecture 59 - Properties of Gradient, Divergence and Curl (Continued...)
Lecture 60 - Curl and Integrals