1. Section 15.1 Functions of Several variables
MAT 1236 Calculus III
Section 15.1
Functions of Several variables

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

3. 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)

4. 1 variable Vs 2 variables

5. Domain

6. Example 1

7. Example 2

8. Graphs

9. Linear Functions

10. Example 3

11. Example 4

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

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