Multivariable Calculus GZSKPYC764

URI	`m2://res/GZSKPYC764`
Kind	course
Creators	Sanjeev Kumar (instructor), S. K. Gupta (instructor)
Date	2018-01-29
Scope	in
Ids	course 00582g326:111107108

Expressions

e1: edition

Language	en
Date	2018-01-29

m1: page, IIT Roorkee (record). nptel 111107108
m2: page, 2018-01-29 (record). nptel 111107108

Contents

part 1: Unit 1
session 1: Functions of several variables
session 2: Limits for multivariable functions-I
session 3: Limits for multivariable functions-II
session 4: Continuity of multivariable functions
session 5: Partial Derivatives-I
part 2: Unit 2
session 6: Partial Derivatives-II
session 7: Differentiability-I
session 8: Differentiability-II
session 9: Chain rule-I
session 10: Chain rule-II
part 3: Unit 3
session 11: Change of variables
session 12: Euler's theorem for homogeneous functions
session 13: Tangent planes and Normal lines
session 14: Extreme values-I
session 15: Extreme values-II
part 4: Unit 4
session 16: Lagrange multipliers
session 17: Taylor's theorem
session 18: Error approximation
session 19: Polar-curves
session 20: Multiple Integrals
part 5: Unit 5
session 21: Change Of Order Of Integration
session 22: Change of Variables in Multiple Integral
session 23: Introduction to Gamma Function
session 24: Introduction to Beta Function
session 25: Properties of Beta and Gamma Functions-I
part 6: Unit 6
session 26: Properties of Beta and Gamma Functions-II
session 27: Dirichlet's Integral
session 28: Applications of Multiple Integrals
session 29: Vector Differentiation
session 30: Gradient of a Scalar Field and Directional Derivative
part 7: Unit 7
session 31: Normal Vector and Potential field
session 32: Gradient(Identities), Divergence and Curl(Identities)
session 33: Some Identities on Divergence and Curl
session 34: Line Integral (I)
session 35: Applications of Line Integrals
part 8: Unit 8
session 36: Green's Theorem
session 37: Surface Area
session 38: Surface Integral
session 39: Divergence Theorem of Gauss
session 40: Stoke's Theorem

Catalogue records

nptel: 111107108 (manifestation)
nptel_video: 111107108 (manifestation)