Discrete Structures Class Meeting 1

Outline of Today Information sheet Questionnaire Quiz 0 Learning mathematics – Reading math – Solving problems

Learning Discrete Structures Reading the book Checking other sources Solving problems Counting Inquiry-based learning Conversation – BTW, What is a mathematical structure?

Propositions and Operators What’s an operator How many unary operators? – Names? How many binary operators? – Names?

Fundamental Ideas Threads through the course: Operators Functions Counting What comes next: order and standard order Structures: sets with operators and functions Sameness: when are two structures “the same”?

Homework Section 1.1: 2,4,6,8,10,12,18,24,28,30,32, 38,48 Section 1.2: 4,6,8,10,12,16,18

Glossary Proposition Conjunction – and Disjunction – or Conditional – implication, if-then Converse Inverse Contrapositive Equivalent Biconditional – if and only if Tautology Contradiction