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Earth to Mars 

A Self-Study Website

Multivariable Calculus

Multivariable Calculus is the differentiation and integration of functions involving several variables, rather than just one. It is used in regression analysis to derive formulas for estimating relationships among various sets of empirical data.

Book resources 

  • James Stewart - Calculus_ Early Transcendentals-Cengage Learning (2015)
  • Schaum's Outline of Advanced Calculus, Third Edition (Schaum's Outlines) 3rd Edition

Video Resources

  • Michel van Biezen
    https://www.youtube.com/channel/UCiGxYawhEp4QyFcX0R60YdQ
  • patrickJMT
    https://www.youtube.com/channel/UCFe6jenM1Bc54qtBsIJGRZQ
  • Alexandra Budden https://www.youtube.com/channel/UCmyeeTlzwtoBOCK9RfG13cQ
  • The Organic Chemistry Tutor
    https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA
  • The Math Guy https://www.youtube.com/channel/UCFlrdgYzH_XALdAKtXKMQbQ
  • Mathispower4u https://www.youtube.com/channel/UCNVMxRMEwvo9AS-Jfh6fQFg

Chapter 14 - Partial Derivatives

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Section 14.1 - Functions of Several Variables

Section 14.2 - Limits and Continuity

Section 14.3 - Partial Derivatives

Section 14.4 - Tangent Planes and Linear Approximations

Section 14.5 - The Chain Rule

Section 14.6 - Directional Derivatives and the Gradient Vector

Section 14.7 - Maximum and Minimum Values

Section 14.8 - Lagrange Multipliers

Chapter 14 - Partial Derivatives

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