Handouts for Math 300 Fall 2025

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

Writing Guidelines  (WG) and  Evaluation of Proofs Guidelines

• 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 Writing Guidelines  (summary and write guidelines)
• Evaluation of Proofs  Exercises   (our instuctions, which vary slightly from the book's)

Group Work  (GW)

• §1.2 Group Work  (Proof Lemma POO`s friends.)  (soln)  Student GW with comments on Bb.
• §3.1 Group Work  (Direct Proofs. Congruence: transitivity and modulo arithmetic)  (soln)

Course Handouts  (HO)

1. Ch1: Intro to Writing Proofs   (statements and conditional statements, constructing direct proofs, divison algorithm, defs.)
2. §1.1: Class Example   (ER1.1.6)
3. §1.3: "IF ≠ IS" mistake
4. §2.1: Truth Table Practice Exercises (with solutions)*
5. §2.1: Statements and Logical Operators
6. §2.1: Contrapositive and Converse  (important class example)
7. §2.2: Logically Equivalent Statements
8. §2.3: Open Sentences and Sets
9. §2.4: Quantifiers and Negations
10. §2.5 Class Example  Evaluation of Proof   (soln)  (sum of recipocal of nonequal postive number is greater than 2, ER3.1.19b )
11. Ch3: Methods of Proofs   (chapter summary)
12. §3.1 Class Example. ER 3.1.8b divides vs congruent   (soln)