1. MA 242.003 Day 19- February 1, 2013 Begin Differential Multivariable Calculus Section 11.1 Section 9.6

2. Chapter 11: Differential multivariable calculus

3. Chapter 11

5. Chapter 11: Partial Derivatives

6. Application of partial derivatives Optimization Find the local and global maxima and minima of functions f(x,y) of 2 variables

12. Domain:

35. Sketching Ellipsoids

36. (continuation of problem)

37. Sketching Parabaloids

38. (continuation of problem)

39. Sketching Parabaloids

40. (continuation of problem)

41. Sketching Parabaloids

42. (continuation of problem)

43. Sketching Parabaloids

44. (continuation of problem)

45. Sketching Cones

46. (continuation of problem)

47. Sketching Planes

49. Sketching Cylinders Definition: A cylinder is a surface in space that is the graph of an equation involving AT MOST two of the three variables x, y and z.

50. Sketching Cylinders Definition: A cylinder is a surface in space that is the graph of an equation involving AT MOST two of the three variables x, y and z.

66. My standard picture of a curve: