Learn · Calculus of Several Real Variables
Lecture 8 of 37Week 2
Partial derivatives and Continuity
Prof. Joydeep Dutta · IIT Kanpur
Credits and licence
- From
- Calculus of Several Real Variables, IIT Kanpur (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
- Vectors in plane and space
- Inner product and distance
- Application to real world problems
- Matrices and determinants
- Cross product of two vectors
- Higher dimensional Euclidean space
- Functions of more than one real-variable
- Partial derivatives and Continuity
- Vector-valued maps and Jacobian matrix
- Chain rule for partial derivatives
- The Gradient Vector and Directional Derivative
- The Implicit Function Theorem
- Higher Order Partial Derivatives
- Taylor's Theorem in Higher Dimension
- Maxima and Minima for Several Variables
- Second Derivative Test for Maximum and Minimum
- Constrained Optimization and The Lagrange Multiplier Rule
- Vector Valued Function and Classical Mechanics
- Arc Length
- Vector Fields
- Multiple Integral I
- Multiple Integral II
- Multiple Integral III
- Multiple Integral IV
- Cylindrical and Spherical Coordinates
- Multiple Integrals and Mechanics
- Line Integral-I
- Line Integral-II
- Parametrized Surfaces
- Area of a surface Integral
- Area of parametrized surface
- Surface Integrals
- Green's Theorem
- Stoke's Theorem
- Examples of Stoke's Theorem
- Gauss Divergence Theorem
- Facts about vector fields