Day 09 in Mat310

Today:

• Remarks:
  • For the test: you will be called on to prove one of the following:
    • The Division algorithm
    • Theorem 2.3 (gcd as linear combination)
    • Theorem 3.1 (prime divides term of product)
    • Theorem 3.4 (primes are infinite in number)
  • We've got a test coming up -- Thursday...!
  • You won't hand in your 3.3 problems: one will be featured on the test.
  • In the homework problems for 3.3, change "9c" to "9a".

• Return 3.1 problems:
  • 5ab, 7.
  • Theorems, corollaries, lemmas, definitions are tools in your toolkit. You CAN fix everything with duct tape, but it doesn't generally end up looking or working very well. Try to choose the appropriate tool for the job.

• Collect problems 3.2 (will be available tomorrow).

• Section 3.3:
  • section 3.3 summary

  • Problems from section 3.3, p. 59:
    • Comment on #11 (homework)
    • #20
    • #23

  • Questions/Comments on old stuff, in prep for Exam 1?

  • Congruences
    • section 4.2 summary

    • Problems from section 4.2, p. 68:
      • #3
      • #6, b, c, d (look for balance)
      • #8, b, c (consider cases...)

• Number theory puzzle this week in Science News