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Calculus/Multivariable Calculus

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< Calculus
(Redirected from Calculus/Multivariable and differential calculus)
← Sequences and Series/Exercises Calculus Vectors →
Multivariable Calculus


This is an example of using spherical coordinates in 3 dimensions to calculate the volume of a given shape

Contents

  • 1 Introduction to Multivariable Calculus
  • 2 Differentiation
  • 3 Integration
  • 4 Vector calculus

Introduction to Multivariable Calculus

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7.1 Vectors  

7.2 Curves and Surfaces in Space  

7.3 Vector Functions  

7.4 Introduction to multivariable calculus  

Differentiation

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7.5 Limits and Continuity

7.6 Partial Derivatives

7.7 The chain rule and Clairaut's theorem  

7.8 Chain Rule

7.9 Directional derivatives and the gradient vector

  • Multivariate optimisation: The Lagrangian 
  • Calculus on matrices  

7.10 Derivatives of Multivariate Functions  

7.11 Inverse Function Theorem, Implicit Function Theorem (optional)  

Integration

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7.12 Multiple integration

  • Old: Double Integrals

7.13 Change of variables

Vector calculus

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7.14 Vector Calculus  

7.15 Vector Calculus Identities  

7.16 Inverting Vector Calculus Operators  

7.17 Points, Paths, Surfaces, and Volumes  

7.18 Helmholtz Decomposition Theorem  

7.19 Discrete Analog to Vector Calculus  

7.20 Exercises

Navigation: Main Page · Precalculus · Limits · Differentiation · Integration · Parametric and Polar Equations · Sequences and Series · Multivariable Calculus · Extensions · References

Retrieved from "https://en.wikibooks.org/w/index.php?title=Calculus/Multivariable_Calculus&oldid=4047851"
Last edited on 15 April 2022, at 17:28

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