Math 210 Spring 2011

Exam 1 review

The first hour exam will be on Friday, February 11, in class, and will cover through section 2.1 of the textbook

Some preliminary notes:

• I have attempted to be comprehensive in the following, but you are responsible for the material covered, even if I do forget to list something here.  If you do find an omission, please do let me know.

In your review, look at definitions textbook examples, and homework problems assigned.  In particular:

• Be able to give a definition of terms encountered so far (functions, relations, equivalence relations, orders, etc.)

• Be able to do basic set operations

• Be able to use the sum, product, and quotient principles

• Be able to use summations, and know the rules and formulae for summations.

• Be able to define and count permutations.

• Be able to define and count combinations, and to use Pascal's triangle.

• Be able to state and use the Binomial Theorem.

• Be able to give a combinatorial proof.

• Be able to use equivalence relations in counting.

• Be able to use modular arithmetic.

• Be able to use encryption schemes. including Caesar ciphers.

I have added the following notes to the exam:

Notes: 

1.         Show your work.  Answers given without indication of how you got the answer may not receive credit

2.         Calculators are permitted on this exam.  In problems involving calculating a number, however, it is sufficient to leave the calculation in a form in which it can be entered into a calculator.  If you do use a calculator, you should include this “pre-calculator” expression as part of your answer.

Any questions?  Please ask!