Day 15 in Mat320

Today:

• Distribute Section 16.1 Worksheet

• Return 15.7a problems.
  • Lagrange multipliers let us check the boundaries, when optimizing a function on a closed region:

• No quiz opportunity.

• Collect problems 15.7b.

• Questions/Comments on old stuff?

• Section 15.8:
  • Lagrange multipliers let us check the boundaries, when optimizing a function on a closed region:

• Review:
  • Types of problems to expect:
    • defining and drawing functions
    • contour plots
    • checking continuity
    • computing partial derivatives (including by definition)
    • gradients
    • directional derivatives
    • linear function (i.e. tangent plane) approximation
    • optimization (maxes and mins)

Next time: Test 1!