Syllabus, MAD2104 01-02, Summer 2018

Syllabus, MAD2104 01-06, Spring 2018

MAD2104 Course Notes

Answers for selected Course Notes exercises

Click here to access posted test, quiz and class participation scores.

Click here to register

Click here to access an outline for our next lecture.

Click here for the eGrade login page.

Equivalency Laws

Rules of Inference

If you find bugs or errors, please report them to Mr. Wooland. Screen snapshots would be helpful in that case.

Using logical operators (from 2.1)

Symbolize a verbal proposition (from 2.1)

Constructing truth tables (from 2.1)

Bit strings (from 2.1)

Tautologies, truth tables (from 2.2)

More of tautologies, truth tables (from 2.2)

Verbal equivalencies, negations, variations (from 2.2)

Using Equivalency Laws (from 2.2)

Name That Law! (from 2.2)

Proving/disproving Equivalencies (from 2.2)

Proving Equivalencies (from 2.2)

Disjunctive Normal Form (from 2.2)

Predicates and Quantifiers (from 2.3)

Negate simple verbal quantified statements (from 2.3)

More Predicates and Quantifiers (from 2.3)

Predicates, Quantifiers, DeMorgan's Laws (from 2.3)

Simple verbal arguments (from 3.1)

Validity of symbolic arguments, using truth tables (from 3.1)

More Rules of Inference, Fallacies (from 3.1)

Inference, deduction (from 3.1)

Constructing validity proofs (from 3.1)

Rules of inference, quantifiers (from 3.1)

Other quantified arguments (from 3.1)

More complicated quantified arguments (from 3.1)

Still more complicated quantified arguments (from 3.1)

Methods of Proof, 3.2 (also includes concepts from Chapter 5)

Modular congruence

Division algorithm

a mod m

Modular arithmetic

Definitions, theorems

Relatively prime

Euler

Fermat's Little Theorem

Euclidean algorithm (no calculator version)

Euclidean algorithm (calculator required)

Proofs (Chapters 4 and 5)

GCD as a linear combination

Multiplicative inverse mod

Solve linear congruence

RSA (calculator helpful)

Set math definitions terminology

Sets, elements, subsets

Set operations

Sets and set ops, 4.1

Indexed sets, 4.1

Well ordered sets, 3.3

Proof by induction, 3.3, 4.1

Relations

Digraphs

Properties of relations

Properties of relations - The Sequel

Proofs (Chapter 7)

Definitions and whatnot

Intro to Functions 1.2

Intro to Functions 1.2

Floor/ceiling functions 1.2

Floor/ceiling functions 1.2

Floor function 1.2

Ceiling function 1.2

Ceiling function 1.2

Floor function 1.2

Characteristic function 1.2

Characteristic function 1.2

Function properties, 4.2

Function properties, 4.2

Prove injection, surjection, 4.2

Calculate function composition, 4.2

Prove injection, surjection, 4.2