Engineering Mathematics - I 9SH0WM7954

URI	`m2://res/9SH0WM7954`
Kind	course
Creators	Jitendra Kumar (instructor)
Date	2019-05-06
MSC	00-XX
Scope	in
Ids	course 03w5sq511:111105121

Expressions

e1: edition

Language	en
Date	2019-05-06

m1: page, IIT Kharagpur (record). nptel 111105121
m2: page, 2019-05-06 (record). nptel 111105121

Contents

part 1: Week 1 :
session 1: Lecture 01 : Rolle’s Theorem
session 2: Lecture 02 : Mean Value Theorems
session 3: Lecture 03 : Indeterminate Forms (Part ‐1)
session 4: Lecture 04 : Indeterminate Forms (Part ‐2)
session 5: Lecture 05 : Taylor Polynomial and Taylor Series
part 2: Week 2 :
session 6: Lecture 06 : Limit of Functions of Two Variables
session 7: Lecture 07 : Evaluation of Limit of Functions of Two Variables
session 8: Lecture 08 : Continuity of Functions of Two Variables
session 9: Lecture 09 : Partial Derivatives of Functions of Two Variables
session 10: Lecture 10 : Partial Derivatives of Higher Order
part 3: Week 3 :
session 11: Lecture 11 : Derivative & Differentiability
session 12: Lecture 12 : Differentiability of Functions of Two Variables
session 13: Lecture 13 : Differentiability of Functions of Two Variables (Cont.)
session 14: Lecture 14 : Differentiability of Functions of Two Variables (Cont.)
session 15: Lecture 15 : Composite and Homogeneous Functions
part 4: Week 4 :
session 16: Lecture 16 : Taylor’s Theorem for Functions of Two Variables
session 17: Lecture 17 : Maxima & Minima of Functions of Two Variables
session 18: Lecture 18 : Maxima & Minima of Functions of Two Variables (Cont.)
session 19: Lecture 19 : Maxima & Minima of Functions of Two Variables (Cont.)
session 20: Lecture 20 : Constrained Maxima & Minima
part 5: Week 5 :
session 21: Lecture 21 : Improper Integrals
session 22: Lecture 22 : Improper Integrals (Cont.)
session 23: Lecture 23 : Improper Integrals (Cont.)
session 24: Lecture 24 : Improper Integrals (Cont.)
session 25: Lecture 25 : Beta & Gamma Function
part 6: Week 6 :
session 26: Lecture 26 : Beta & Gamma Function (Cont.)
session 27: Lecture 27 : Differentiation Under Integral Sign
session 28: Lecture 28 : Double Integrals
session 29: Lecture 29 : Double Integrals (Cont.)
session 30: Lecture 30 : Double Integrals (Cont.)
part 7: Week 7 :
session 31: Lecture 31 : Integral Calculus –Double Integrals in Polar Form
session 32: Lecture 32 : Integral Calculus –Double Integrals: Change of Variables
session 33: Lecture 33 : Integral Calculus – Double Integrals: Surface Area
session 34: Lecture 34 : Integral Calculus –Triple Integrals
session 35: Lecture 35 : Integral Calculus – Triple Integrals (Cont.)
part 8: Week 8 :
session 36: Lecture 36 : System of Linear Equations
session 37: Lecture 37 : System of Linear Equations – Gauss Elimination
session 38: Lecture 38 : System of Linear Equations – Gauss Elimination (Cont.)
session 39: Lecture 39 : Linear Algebra - Vector Spaces
session 40: Lecture 40 : Linear Independence of Vectors
part 9: Week 9 :
session 41: Lecture 41 : Vector Spaces –Spanning Set
session 42: Lecture 42 : Vector Spaces –Basis and Dimension
session 43: Lecture 43 : Rank of a Matrix
session 44: Lecture 44 : Linear Transformations
session 45: Lecture 45 : Linear Transformations (cont.)
part 10: Week 10 :
session 46: Lecture 46 : Eigenvalues & Eigenvectors
session 47: Lecture 47 : Eigenvalues & Eigenvectors (Cont.)
session 48: Lecture 48 : Eigenvalues & Eigenvectors (Cont.)
session 49: Lecture 49 : Eigenvalues & Eigenvectors (Cont.)
session 50: Lecture 50 : Eigenvalues & Eigenvectors: Diagonalization
part 11: Week 11 :
session 51: Lecture 51 : Differential Equations - Introduction
session 52: Lecture 52 : First Order Differential Equations
session 53: Lecture 53 : Exact Differential Equations
session 54: Lecture 54 : Exact Differential Equations (Cont.)
session 55: Lecture 55 : First Order Linear Differential Equations
part 12: Week 12 :
session 56: Lecture 56 : Higher Order Linear Differential Equations
session 57: Lecture 57 : Solution of Higher Order Homogeneous Linear Equations
session 58: Lecture 58 : Solution of Higher Order Non-Homogeneous Linear Equations
session 59: Lecture 59 : Solution of Higher Order Non-Homogeneous Linear Equations (cont.)
session 60: Lecture 60 : Cauchy-Euler Equations

Catalogue records

nptel: 111105121 (manifestation)
nptel_video: 111105121 (manifestation)