Grader's Comments

Key

• #Points Comments

Homework 1

1.2

• 44 Induction
• 143 Induction. Be careful that you can replace the 10 cent stamps with 7 cent stamps (or vice versa).
• 182 Induction.
• 303 Induction.

1.4

• 42 Calculation.
• 62 Note that a|b does not mean that a < b, but instead that |a| < |b|
• 82 Find a counter example.
• 142 A modification to the division algorithm. Note that the division algorithm will yeild a unique (s,t) pair, but it may not be the proper one (namely t may not be odd).
• 163 Two applications of the division algorithm and a substitution.

3.1

• 63 Factor the polynomial.
• 264 Induction. Make use of the binomial theorem.