Section 15.1 Functions of Several variables

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Section 15.1 Functions of Several variables MAT 1236 Calculus III Section 15.1 Functions of Several variables http://myhome.spu.edu/lauw

HW.. WebAssign 15.1 Quiz: 13.5, 15.1 Exam 1 is coming up….

Preview Functions in more than one (independent) variables Focus on the case of 2 variables (visualization limit) Similar to functions in one variables Domain Graph 15.2 Limits and Continuity 15.3 Derivatives (Partial)

1 variable Vs 2 variables

Domain

Example 1

Example 2

Graphs

Linear Functions

Example 3

Example 4

Level Curves The projection of the intersections of on the 𝑥−𝑦 plane are called the level curves of

Example 5 Find the level curves of (a) (b)