Principles of Analysis

Homework Assignment #2

Due Wednesday, September 18, START of Class

Homework should be turned in at the BEGINNING OF CLASS. All problem numbers refer to Bilodeau and Thie's book, the required text for the course. You should write up solutions neatly to all problems, paying particular attention to your arguments and proofs. A nonempty subset will be graded. You are strongly encouraged to work on these problems with other classmates, although the solutions you turn in should be YOUR OWN WORK.

Section 1.3
Problems:   1e, 1f, 7 (all parts), 10 (parts a, b, c and e)

Hint: For problem #1e, use the hints from the worksheet given out in class. For problem #10, break up the number line into three appropriate pieces, and then solve the equation on each piece. Thinking geometrically is the quickest way.

Section 1.4
Problems:   2a, 2c, 4b, 6a, 6c, 10, 14, 23

Hint: For problem #10, the proof is quick and easy with the perfect choice of x and y in the Binomial Theorem.