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ReviewFinal - Math 1190 Review for the Final Examination...

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Math 1190 Review for the Final Examination The final examination covers Sections 1.1 to 1.7, 2.1 to 2.4, 3.4 to 3.8, and 4.1 to 4.3 of the textbook, Exercises, Tests 1 and 2. You need to know 1. Section 1.1: propositions; logical operators ( ¬ , , , , , ) and precedence; converse, contrapositive, inverse; truth table. Questions 31 and 33 on page 19. 2. Section 1.2: logical equivalence, tautology, contradiction; proofs. Questions 9, 11, 17, 23, 29 and 33 on page 28. 3. Section 1.3: predicates; quantifiers ( x , x ), domains, precedence and truth values; logical equivalence; negating quantifiers. Questions 11, 13, 35, 43 and 45 on page 47. 4. Section 1.4: nested quantifiers (Table 1 on page 53) and their nega- tion. Questions 27, 31, 39 and 45 on page 58. 5. Section 1.5: argument forms, validity; rules of inference (propositions and involving quantifiers). Questions 19, 25, 27 and 29 on page 72. 6. Section 1.6: methods of proof (direct proof, contraposition, contra- diction); even and odd integers; rational and irrational numbers; proof of ”if and only if” statements.
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