Mathematics 134 -- Intensive Calculus for Science 2
Quiz 8
April 11, 2002
The eighth regular quiz of the semester will be given during
the first 20 minutes of class on
Friday, April 12. It will cover the material on Taylor polynomials
and Taylor series from sections 10.1 and 10.3 that we have discussed
this week.
Calculators will be allowed on this quiz. You should
know:
- The definition of the Taylor polynomial of
a given degree n
of a function f(x) at a given x = a, and how to compute it
(this might involve any of the derivative rules we learned last semester,
the derivative sum, product, and quotient rules, etc.)
- How the Taylor polynomials of f(x) relate
to f(x) itself -- how their coefficients relate
to derivatives of f(x) at x = a (see problems
19 and 20 in Section 10.1, for example).
- The Taylor series for ex, sin(x),
cos(x), and (1+x)p (know these so you
can apply them without having to compute out the coefficients)
- Deriving Taylor series for other functions from known ones
by substitution, differentiation, or integration.
On the quiz, there will be three problems similar to questions
from this week's problem assignment.
Good review problems: 10.1/1-10, 15-20; 10.3/1-6