Catch up on the last daily post if you missed the first day.

Read the book’s section on Direct Proof (Section 4.3), up to the end of where they explain the proof that “if x is odd then x^2 is odd”. That is, pages 118-120 in the newest edition.

Following the guidelines and examples from the last lecture (the handout can be found, as always, under Lectures), and from your reading, write a proof of the statement “The sum of two even integers is even.”

Read the book’s Section 4.2 on Definitions.

As time permits, do exercises from Chapter 4. I suggest exercises 2-5.

Note: Proof Quizzes will occur on Mondays and Badges Quizzes on Fridays, starting the second week. That means Monday you’ll have a quiz writing this type of proof.