MATH 1332 CHAPTERS 2 & 3 REVIEW Chapter 2 VOCABULARY Set, Elements, Subset, Proper Subset, Cardinal Number, Finite or Infinite Set, Complement, Equivalent Sets, Intersection, Union, Cartesian Product Symbols: , , , , , , , A' Chapter 3 Statement, Compound Statement, Quantifiers, Truth Table, Tautology, Fallacy, Conjunction. Disjunction, Conditional Statement, Antecedent, Consequence, Circuit, Converse Statement, Inverse Statement, Contrapositive Statement, Biconditional Statement, Consistent, Contrary, Symbols: , ,~, CHAPTER 2 SECTION 2.1 2.2 2.3 2.4 KNOW HOW TO Describe sets in one of the three forms (list, word, or set notation) when the set is given in another of those forms. Determine if a set is finite or infinite. Find the cardinality or cardinal number of a set. Use the symbols for “includes” or “does not include” Recognize Subsets from a Universal set Determine the number of subsets or proper subsets that can be composed from the elements of a subset. Use Venn diagrams to show elements of sets and their compliments Find the compliment of a set Find the intersection of 2 or more sets Find the union of 2 or more sets Find the difference of two sets Use DeMorgan’s Laws Determine equality of sets Find the Cartesian Product (set of ordered pairs) from two sets Use Venn Diagrams to show relationships between 2 or more sets – including compliments, intersections and unions Use Venn diagrams to analyze results of surveys by finding the cardinality of intersections, unions and compliments of sets Use tables to analyze data from surveys by finding interceptions, unions and compliments MYMATHLAB PROBLEMS 1–9 10, 11 12, 13, Lab 1(2) 14 – 18, Lab 2(1) 1 – 10 11, 12, 14, 15 13 16 – 18 1, 2, 4, 5, 6, 8, 14, 12 3, 5, 6, 8, 9, 10, 11, 13, 14 7 15, Lab1(1) 16, 17 18 19, 20, 21 1 – 7, Lab 1(3) Lab 1(4) CHAPTER 3 SECTION 3.1 3.2 3.3 3.4 3.5 KNOW HOW TO Recognize a statement Determine if a statement is a compound statement Write the negation of statements, math statements and statements with quantifiers Translate from symbols to word statements Translate from word statements to symbols Determine if statements are true of false MYMATHLAB PROBLEMS 1–3 4, 5 Determine the truth value of simple and compound statements Find the number of row in a truth table Fill in a complete Truth Table Use DeMorgan’s Laws to write negation of statements. Create a conditional statement Determine if a conditional statement is true or false Translate a conditional word statement to symbols Determine if compound conditional statements are true or false Fill in a complete truth table for compound conditional statement Translate from a circuit diagram to a symbolic statement Translate a symbolic statement to a circuit drawing Write the converse, inverse, or contrapositive Convert statements to “if … then” conditional statements Determine of two statements are consistent or contrary Use Euler diagram to determine the validity of an argument 1 – 10, 17, Lab 2(1) 6 – 10 11, 12, Lab 2(1) 13 – 15 16 – 19 , Lab 2(1) 11 12, 13, Lab 2(1) 14, 15 1–3 4–8 9, 10 11, 12 13, 14, Lab 2(2) 15, 16, Lab 2(3) 17, 18, Lab 2(1) 1 – 3, Lab 2(4) 4–7 8 1–7