Math 2.0

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Calculus of Several Real Variables TZY7HX37EZ

URIm2://res/TZY7HX37EZ
Kindcourse
CreatorsJoydeep Dutta (instructor)
Date2019-07-19
Scopein
Idscourse 05pjsgx75:111104125

Expressions

e1: edition

Languageen
Date2019-07-19
Contents
  • part 1: Week 1
  • session 1: Vectors in plane and space
  • session 2: Inner product and distance
  • session 3: Application to real world problems
  • session 4: Matrices and determinants
  • session 5: Cross product of two vectors
  • part 2: Week 2
  • session 6: Higher dimensional Euclidean space
  • session 7: Functions of more than one real-variable
  • session 8: Partial derivatives and Continuity
  • session 9: Vector-valued maps and Jacobian matrix
  • session 10: Chain rule for partial derivatives
  • part 3: Week 3
  • session 11: The Gradient Vector and Directional Derivative
  • session 12: The Implicit Function Theorem
  • session 13: Higher Order Partial Derivatives
  • session 14: Taylor's Theorem in Higher Dimension
  • session 15: Maxima and Minima for Several Variables
  • part 4: Week 4
  • session 16: Second Derivative Test for Maximum and Minimum
  • session 17: Constrained Optimization and The Lagrange Multiplier Rule
  • session 18: Vector Valued Function and Classical Mechanics
  • session 19: Arc Length
  • session 20: Vector Fields
  • part 5: Week 5
  • session 21: Multiple Integral I
  • session 22: Multiple Integral II
  • session 23: Multiple Integral III
  • session 24: Multiple Integral IV
  • session 25: Cylindrical and Spherical Coordinates
  • part 6: Week 6
  • session 26: Multiple Integrals and Mechanics
  • session 27: Line Integral-I
  • session 28: Line Integral-II
  • session 29: Parametrized Surfaces
  • part 7: Week 7
  • session 30: Area of a surface Integral
  • session 31: Area of parametrized surface
  • session 32: Surface Integrals
  • session 33: Green's Theorem
  • part 8: Week 8
  • session 34: Stoke's Theorem
  • session 35: Examples of Stoke's Theorem
  • session 36: Gauss Divergence Theorem
  • session 37: Facts about vector fields

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