Chem 455 Spring 2015 Homework 2 due Mon Apr 13 5:00pm (in box 71 on 3rd floor)

The first eight problems are intended to help you review some math prerequisites we need in this course.

You can find summaries in the Math Appendix of the textbook. In addition to the problems below, please

also review spherical coordinates (see textbook chapter 13.6 and Appendix )

1. Complex numbers. (A) (2 3i)(4 5i) ? (B) (2 3i)2

2. Complex numbers. If (3 i), whats (z*)(z), whats and whats z2?

3. Complex numbers. (A) Express z 2 7i in the r exp(i) form. (B) Express z 6 exp(3 i/7) in the

   a b i form.

4. Power series. Approximate exp(i) for small values of as a power series.

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