Mathematics 134 -- Intensive Calculus 2

Quiz 8 -- Things to Know

April 4, 2001

The eighth quiz of the semester will be given during the first 20 minutes of class this coming Friday, April 6. It will be similar in format to the other quizzes and cover the following material:

Topics to Know

• Taylor series -- know the Taylor series with a = 0 for the standard functions e^x, sin(x), cos(x), 1/(1-x), (1+x)^p (i.e. memorize them -- you should not have to compute the Taylor series for these functions from the formula, although you can do that too if you need to, of course!) and how to use those to produce Taylor series for other functions by substitution, algebraic operations, differentiation, and integration.
• Differential equations -- know how to determine whether a given function is a solution of a given differential equation.

Good Review Problems:

1. Problems like 9.3/1-12 for computing new Taylor series from the known ones for e^x, sin(x), cos(x), 1/(1-x), (1+x)^p
2. Problems like 10.1/3-9 for determining whether given functions are solutions of differential equations.