MATH 2401: WEEK 5

Topics for this week are:

• Functions of several variables -- limits, continuity, and mixed partial derivatives
• The gradient and differentiability, directional derivatives, and chain rules

Text coverage:     Sections 14.6, 15.1 - 15.3 of Salas, Hille, and Etgen

Reference:   These topics are also discussed in Chapter 7, Continuity, Derivatives and All That and Chapter 8, f:Rn->R, of the Cain-Herod textbook.

Online resources:

• Solved Problems
  • Chapter 8, Section 2
  • Chapter 8, Section 3
  • Chapter 8, Section 4
  • Chapter 8, Section 5
  • Chapter 8, Section 6
  • Chapter 8, Section 7
• Additional Notes (by Prof. Carlen)
  • Newton's Method in several variables.
• Projects
  • Extrema of functions of several variables.

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Last Modified: . School of Mathematics, Georgia Institute of Technology.