Learn · Multivariable Calculus
Lecture 35 of 40Unit 7
Applications of Line Integrals
Prof. S. K. Gupta Prof. Sanjeev Kumar · IIT Roorkee
Credits and licence
- From
- Multivariable Calculus, IIT Roorkee (at NPTEL)
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only.
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- Tweens profiles and older. How courses are placed
All the lectures
- Functions of several variables
- Limits for multivariable functions-I
- Limits for multivariable functions-II
- Continuity of multivariable functions
- Partial Derivatives-I
- Partial Derivatives-II
- Differentiability-I
- Differentiability-II
- Chain rule-I
- Chain rule-II
- Change of variables
- Euler's theorem for homogeneous functions
- Tangent planes and Normal lines
- Extreme values-I
- Extreme values-II
- Lagrange multipliers
- Taylor's theorem
- Error approximation
- Polar-curves
- Multiple Integrals
- Change Of Order Of Integration
- Change of Variables in Multiple Integral
- Introduction to Gamma Function
- Introduction to Beta Function
- Properties of Beta and Gamma Functions-I
- Properties of Beta and Gamma Functions-II
- Dirichlet's Integral
- Applications of Multiple Integrals
- Vector Differentiation
- Gradient of a Scalar Field and Directional Derivative
- Normal Vector and Potential field
- Gradient(Identities), Divergence and Curl(Identities)
- Some Identities on Divergence and Curl
- Line Integral (I)
- Applications of Line Integrals
- Green's Theorem
- Surface Area
- Surface Integral
- Divergence Theorem of Gauss
- Stoke's Theorem