Math 8 Homework #12

It requires a very unusual mind to make an analysis of the obvious.
Alfred North Whitehead

Quiz

Remember that we have a quiz on Monday 2/1.

Reading

Read what we will cover in class on Monday and Wednesday: 11.5 and 11.6

When reading 11.5 pay special attention to the following concepts:

  • power series, coefficients, geometric power series, connetions with polynmials, base point, domains of power series and intervals of convergence, note the algorithm for determining intervals of convergence, radius of convergence, what's the big deal about endpoints??
When reading 11.6 pay special attention to the following concepts:
  • calculus with power series, Theorem 12, writing known functions as power series, hard integrals made easy, algebra of power series, the table on page 607.

Problems

The following problems are due by the beginning of class on Wednesday 2/3.
  • 11.4: 7, 8, 13, 18, 20.
  • 11.5: 3, 5, 6, 7.