Handouts for Math 300 Fall 2023

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

Write Guidelines  (WG)

• Our Writing Guidelines  (details included)
• List of Our Writing Guideline  (the WG listed out)
• Sundstrom's Writing Guidelines*   (Appendix A from our book)
• Hammack's Writing Guidelines*   (from another Math 300 book)
• Symbolically Write Guidelines
• Math Induction (PMI) Writing Guidelines

Group Work  (GW)

• §1.2 Group Work  (Direct proof of a conditional statement using def. of even/odd.)
• §2.5 Group Work  (Divides introductory exercises.)
• §3.1 Group Work  (Direct Proofs with Congruence)
• §4.1 Group Work  (Basic PMI)

Course Handouts  (HO)

1. Ch1: Intro to Writing Proofs   (statements and conditional statements, constructing direct proofs, divison algorithm, defs.)
2. §1.2: Direct Proof Examples   (soln)   (Lemma POO and Distance Problem)
3. §1.2: Class Example: Evaluation of Proof with an inequaltiy.   (ER3.1.19b)
4. §1.3: "Is ≠ If" mistake
5. §2.1: Statements and Logical Operators
6. §2.1: Truth Table Practice Exercises (with solutions)*
7. §2.2: Logically Equivalent Statements
8. §2.3: Open Sentences and Sets
9. §2.4: Quantifiers and Negations
10. §5.0: Set Theory Transition
11. §3.0: Direct Proof Review
12. Ch3: Methods of Proofs   (chapter summary)
13. §3.2: Biconditional Sample Proofs
14. §3.4: Proof by Cases. Class Example using Division Algorithm for cases <
15. §3.6: Practice ER
16. Ch4: Math Induction  (PMI summary)
17. Ch4: Induction Examples (lecture outline)   (solutions)
18. PMI Examples: Strong   (lecture outline)   (proofs)
19. Ch5: Set Theory
20. Ch6: Functions
21. Functions and Sets