Handouts for Math 300 Spring 2023

* The symbol * means not handed out in class; however, you should read on the internet.

Write Guidelines  (WG)

• Our Writing Guidelines: WG1-WG14   details included
• List of Our Writing Guidelines: WG1-WG14
• Sundstrom's Writing Guidelines*   (Appendix A from our book)
• Hammack's Writing Guidelines*   (from another Math 300 book)

Group Work  (GW)

• §1.2 Group Work  (Direct proof of a conditional statement using def. of even/odd.)
• §3.1 Group Work  (Direct Proofs with Congruence)

Course Handouts  (HO)

1. Ch1: Intro to Writing Proofs   (statements and conditional statements, constructing direct proofs, divison algorithm)
2. §1.1: Class Example   (ER 1.1.6)
3. §1.2: Direct Proof Examples   (soln)   (Lemma POO and Distance Problem)
4. §1.3: Direct Proofs. A Distance Problem   (soln)
5. §2.1: Statements and Logical Operators
6. §2.1: Class Example   (Evaluation of Proof with inequality, ER3.1.19b)
7. §2.1: Truth Table Practice Exercises
8. §2.2: Logically Equivalent Statements
9. §2.3: Open Sentences and Sets
10. §2.4: Quantifiers and Negations
11. §5.0: Set Theory Transition
12. Ch3: Methods of Proofs   (chapter summary)
13. §3.0: Direct Proof Review
14. §3.2: Biconditional Sample Proofs
15. §3.4: Proof by Cases. Class Example using Division Algorithm for cases
16. Ch 4: Math Induction  (PMI summary)
17. Ch4: Induction Examples (lecture outline)   (solutions)