Day 24 in Mat121

Today:

• Today: first Mathematics Lunch will be held, from 11:30am to 1:30pm, in ST 343. Come even if you're just thinking about majoring or minoring in math.

• Return Exam
  • Exam 2
  • key
  • Stats:
    • Mean: 74
    • Std Dev: 20
  • No curve
    • 5 As
    • 9 Bs
    • 9 Cs
    • 3 Ds
    • 5 Fs
  • Today's the withdrawal deadline for the 8 week session....
  • I'll get directed reading 3.9 ASAP...

• Section 3.7: The Chain Rule
  • One more example:
    • #68, p. 153

• Section 3.8: Implicit Differentiation
  • First of all, notice that in this section we suddenly see graphs failing the vertical line test. These are not the typical "functions of a single variable" we usually encounter, but rather include "branches" which individually can be treated as such.

  • Implicit differentiation movie (two thumbs up!)

  • Favorite example: the circle

  • We can still compute slopes of tangent lines, however, as we've been led to expect.

  • Other Examples:
    • #41, 160
    • #44, 160

  • Questions over the Directed reading handout, Section 3.8 (html) (pdf)?

• Great calculus demos (and more on implicit differentiation).