MATH 120                                    STUDY GUIDE for Test 1

Tuesday October 2, 2012 during the lab period
This test covers all of Chapters 1, 2, and 3.

You should also look at the old exams posted on the web page.

SECTION

CONCEPTS

METHODS

PRACTICE PROBLEMS

Ch. 1

Functions and Sequences

  • definition of function: input and output
  • domain and target
  • sequences
  • piecewise functions
  • calculating recursive functions
  • arithmetic sequences
  • geometric sequences

Pages 7-8

#5, 6

Pages 23-25

#2, 5a, 8, 9, 11, 12

Ch. 2

The Integers

  • modular arithmetic
  • divisors, multiples
  • prime numbers
  • writing rational numbers as decimals
  • converting decimals to fractions
  • converting to other bases
  • iquo, mod
  • Euclidean Algorithm
  • prime factorization
  • finding gcd, lcm

Pages 27-29

#1, 2, 3, 4, 8

Pages 45-50

#2, 5, 6, 7, 8, 9, 10, 14, 15, 25, 33, 34

Section 3.1

Boolean Expressions

  • propositions
  • operations: and, or, not
  • functions using Boolean values
  • writing Boolean expressions
  • truth tables (BY HAND!)
  • deciding if expressions are equal
  • De Morgan’s Laws
  • negating expressions

Pages 51-53

#2, 3, 4, 5, 6

Pages 62-65

#3, 4, 5, 6, 7, 8, 10, 13, 15, 16, 17, 19

Section 3.2

Implication and Proof

  • hypothesis and conclusion
  • contrapositive means the same as original
  • converse means something different
  • “if and only if” statements
  • writing an implication in symbolic form
  • negating an implication
  • stating a converse
  • stating a contrapositive

Pages 66-67

#2, 3, 4, 6, 7, 8

Pages 78-80

#1, 2, 3, 4, 5, 7, 8, 9, 10, 13, 15, 17