Advanced Calculus For Engineers 2MBV89HRCB

URI	`m2://res/2MBV89HRCB`
Kind	course
Creators	Jitendra Kumar (instructor), Somesh Kumar (instructor)
Date	2022-07-04
Scope	in
Ids	course 03w5sq511:111105160

Expressions

e1: edition

Language	en
Date	2022-07-04

m1: page, IIT Kharagpur (record). nptel 111105160
m2: page, 2022-07-04 (record). nptel 111105160

Contents

part 1: Week 1 :
session 1: Lecture 01 : Rolle’s Theorem
session 2: Lecture 02 : Mean Value Theorem
session 3: Lecture 03 : Taylor’s Formula (Single Variable)
session 4: Lecture 04 : Indeterminate Forms – Part 01
session 5: Lecture 05 : Indeterminate Forms – Part 02
part 2: Week 2 :
session 6: Lecture 06 : Introduction to Limit
session 7: Lecture 07 : Evaluation of Limit
session 8: Lecture 08 : Continuity
session 9: Lecture 09 : First Order Partial Derivatives
session 10: Lecture 10 : Higher Order Partial Derivatives
part 3: Week 3 :
session 11: Lecture 11 : Differentiability – Part 1
session 12: Lecture 12 : Differentiability – Part 2
session 13: Lecture 13 : Differentiability – Part 3
session 14: Lecture 14 : Differentiability – Part 4
session 15: Lecture 15 : Composite & Homogeneous Functions
part 4: Week 4 :
session 16: Lecture 16 : Taylor’s Theorem (Multivariable)
session 17: Lecture 17 : Maxima & Minima – Part 1
session 18: Lecture 18 : Maxima & Minima – Part 2
session 19: Lecture 19 : Maxima & Minima – Part 3
session 20: Lecture 20 : Maxima & Minima – Part 4
part 5: Week 5 :
session 21: Lecture 21 : Formation of Differential Equations
session 22: Lecture 22 : First Order and First Degree DE
session 23: Lecture 23 : Exact Differential Equations
session 24: Lecture 24 : Integrating Factor
session 25: Lecture 25 : Linear Differential Equations
part 6: Week 6
session 26: Lecture 26 : Introduction to Higher Order DEs
session 27: Lecture 27 : Complementary Function
session 28: Lecture 28 : Particular Integral
session 29: Lecture 29 : Cauchy-Euler Equations
session 30: Lecture 30 : Method of Variation of Parameters
part 7: Week 7 :
session 31: Lecture 31 : Improper Integral – Part 1
session 32: Lecture 32 : Improper Integral – Part 2
session 33: Lecture 33 : Improper Integral – Part 3
session 34: Lecture 34 : Improper Integral – Part 4
session 35: Lecture 35 : Beta & Gamma Function – Part 1
part 8: Week 8 :
session 36: Lecture 36 : Beta & Gamma Function – Part 2
session 37: Lecture 37 : Differentiation under the Integral Sign
session 38: Lecture 38 : Double Integrals – Part 1
session 39: Lecture 39 : Double Integrals – Part 2
session 40: Lecture 40 : Double Integrals – Part 3
part 9: Week 9 :
session 41: Lecture 41 : Double Integrals – Part 4
session 42: Lecture 42 : Double Integrals – Part 5
session 43: Lecture 43 : Double Integrals – Part 6
session 44: Lecture 44 : Triple Integrals – Part 1
session 45: Lecture 45 : Triple Integrals – Part 2
part 10: Week 10 :
session 46: Lecture 46 : Vector Functions
session 47: Lecture 47 : Vector and Scalar Fields
session 48: Lecture 48 : Divergence and Curl of a Vector Field
session 49: Lecture 49 : Line Integrals
session 50: Lecture 50 : Conservative Vector Fields
part 11: Week 11 :
session 51: Lecture 51 : Green’s Theorem
session 52: Lecture 52 : Surface Integral (Part - 1)
session 53: Lecture 53 : Surface Integrals (Part - 2)
session 54: Lecture 54 : Stokes’ Theorem
session 55: Lecture 55 : Divergence Theorem
part 12: Week 12 :
session 56: Lecture 56 : Application of Derivatives
session 57: Lecture 57 : Application of Derivatives-Continued
session 58: Lecture 58 : Properties of Gradient, Divergence and Curl
session 59: Lecture 59 : Properties of Gradient, Divergence and Curl-Continued
session 60: Lecture 60 : Curl and Integrals

Catalogue records

nptel: 111105160 (manifestation)
nptel_video: 111105160 (manifestation)