Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Prof. Jitendra Kumar
NPTEL Co-ordinating Institute : IIT Kharagpur
NPTEL Lecture Count : 60
NPTEL Course Size : 17 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 Theorems
Lecture 3 - Indeterminate Forms - Part 1
Lecture 4 - Indeterminate Forms - Part 2
Lecture 5 - Taylor Polynomial and Taylor Series
Lecture 6 - Limit of Functions of Two Variables
Lecture 7 - Evaluation of Limit of Functions of Two Variables
Lecture 8 - Continuity of Functions of Two Variables
Lecture 9 - Partial Derivatives of Functions of Two Variables
Lecture 10 - Partial Derivatives of Higher Order
Lecture 11 - Derivative and Differentiability
Lecture 12 - Differentiability of Functions of Two Variables
Lecture 13 - Differentiability of Functions of Two Variables (Continued...)
Lecture 14 - Differentiability of Functions of Two Variables (Continued...)
Lecture 15 - Composite and Homogeneous Functions
Lecture 16 - Taylor’s Theorem for Functions of Two Variables
Lecture 17 - Maxima and Minima of Functions of Two Variables
Lecture 18 - Maxima and Minima of Functions of Two Variables (Continued...)
Lecture 19 - Maxima and Minima of Functions of Two Variables (Continued...)
Lecture 20 - Constrained Maxima and Minima
Lecture 21 - Improper Integrals
Lecture 22 - Improper Integrals (Continued...)
Lecture 23 - Improper Integrals (Continued...)
Lecture 24 - Improper Integrals (Continued...)
Lecture 25 - Beta and Gamma Function
Lecture 26 - Beta and Gamma Function (Continued...)
Lecture 27 - Differentiation Under Integral Sign
Lecture 28 - Double Integrals
Lecture 29 - Double Integrals (Continued...)
Lecture 30 - Double Integrals (Continued...)
Lecture 31 - Integral Calculus Double Integrals in Polar Form
Lecture 32 - Integral Calculus Double Integrals: Change of Variables
Lecture 33 - Integral Calculus Double Integrals: Surface Area
Lecture 34 - Integral Calculus Triple Integrals
Lecture 35 - Integral Calculus Triple Integrals (Continued...)
Lecture 36 - System of Linear Equations
Lecture 37 - System of Linear Equations Gauss Elimination
Lecture 38 - System of Linear Equations Gauss Elimination (Continued...)
Lecture 39 - Linear Algebra - Vector Spaces
Lecture 40 - Linear Independence of Vectors
Lecture 41 - Vector Spaces Spanning Set
Lecture 42 - Vector Spaces Basis and Dimension
Lecture 43 - Rank of a Matrix
Lecture 44 - Linear Transformations
Lecture 45 - Linear Transformations (Continued....)
Lecture 46 - Eigenvalues and Eigenvectors
Lecture 47 - Eigenvalues and Eigenvectors (Continued...)
Lecture 48 - Eigenvalues and Eigenvectors (Continued...)
Lecture 49 - Eigenvalues and Eigenvectors (Continued...)
Lecture 50 - Eigenvalues and Eigenvectors: Diagonalization
Lecture 51 - Differential Equations - Introduction
Lecture 52 - First Order Differential Equations
Lecture 53 - Exact Differential Equations
Lecture 54 - Exact Differential Equations (Continued...)
Lecture 55 - First Order Linear Differential Equations
Lecture 56 - Higher Order Linear Differential Equations
Lecture 57 - Solution of Higher Order Homogeneous Linear Equations
Lecture 58 - Solution of Higher Order Non-Homogeneous Linear Equations
Lecture 59 - Solution of Higher Order Non-Homogeneous Linear Equations (Continued...)
Lecture 60 - Cauchy-Euler Equations