Discrete Structures - Spring, 2017

Week Readings Topics Assignments 4 2.3: Functions

2.4: Relations and EquivalencesDomain, codomain, one-to-one, onto, composition, inverse,f-graphs, r-graphs,directed,undirected graphs,equivalence relations, reflexivity, symmetry, transitivity, partition, 20-Feb 3 2.1: Graphs

2.2: Sets

DSP: 1.2 Truth Values and FunctionsGraphs, TkGate (from Discrete Structures with Python, "aka DSP") 2.1: do 2-20 even

Turn in: 22-28 even2.2: do 2-24 even

Turn in: 26-32 even13-Feb 2 1.4: Logic in Mathematics

1.5: Methods of Proof

MMLogic and CodePlex

Logic Circuits and Boolean Algebra

by Clive MaxfieldAxiomatic systems, direct proof vs. proof by contradiction or contraposition 1.5: do 1-24, even, but don't turn in

To turn in 2/13: 1.4: 22-30 even

To Turn in 2/15: 1.5: 20,22,246-Feb

1 1.1: Formal Logic

1.2: Propositional Logic

1.3: Predicate Logic

The Penn predicate logic calculator

Lambda calculatorConnectives, propositions, truth tables, equivalences, tautologies, contradictions, derivations, proofs, forward/backward, predicates, quantifiers, translations, negations, constructions, definitions, statements, counterexamples.

1.1: 2, 6, 8, 10, 12, 16, 18, 22, 24, 26, 30, 32

1.2: 2, 6, 8, 10, 12, 14, 16, 18, 20, 22, 26

1.3: 12 -- 24 evenSOL'NS for 1.1-1.2

SOL'NS for 1.3Get started learning Python with codeacademy.com

and install Jupyter Notebook.

30-Jan