Math 8 Homework #9

The whole of science is nothing more than the refinement of everyday thinking.
Albert Einstein

Quiz

Remember that we have a quiz on Monday 1/25.

Reading

Read what we will cover in class on Monday: 11.3 and 11.4
Read what we will cover in class on Wednesday: 11.4 and 11.5

When reading 11.3 pay special attention to the following concepts:

  • nonnegative series, the comparison test, the integral test, p-series, the ratio test.
    try to look through at least one example of each carefully.
When reading 11.4 pay special attention to the following concepts:
  • series that are not nonnegative, conditional convergence, absolute convergence, the relation between absolute and conditional convergence, alternating series, alternating series test, the miscellaneous examples.
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??

Problems

The following problems are due by 6 PM on Thursday 1/28:.
  • 11.3: 9, 11, 12, 13, 14, 16, 23, 25, 37, 39, 44, 46, 51.