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Math 3328 - Intro. to Mathematical Proofs

Notes for Fall 2018

Chapter 1 - Sets

Notes-01.pdf

Section 1.2 - Subsets

Notes-02.pdf

Section 1.6 - Cartesian Product of Sets

Notes-03.pdf

Section 2.5 - Logical Connectives

Notes-04.pdf

Section 2.8 - Logical Equivalence

Notes-05.pdf

Chapter 3 - Proofs

Notes-06.pdf

Chapter 3 cont. - Biconditionals

Notes-07.pdf

Chapter 4 - Proofs Using Contrapostive

Notes-08.pdf

Section 4.3 - Proofs Using Real Numbers

Notes-09.pdf

Section 4.3 cont.

Notes-10.pdf

Comments of Proof Writing

Notes-11.pdf

Section 5.1 - Counterexamples

Notes-12.pdf

Section 5.3 - A Review of a Three Proof Technique

Notes-13.pdf

Section 5.4 - Existence and Uniqueness

Notes-14.pdf

Section 6.1 - Mathematical Induction

Notes-15.pdf

Section 7.3 - Testing Statements

Notes-16.pdf

Section 7.3 - Proving or Disproving Statements

Notes-17.pdf

Section 8.1 - Relations

Notes-18.pdf

Section 8.2 cont. - Properties of Relations

Notes-19.pdf

Section 8.4 cont. - Properties of Equivalence Classes

Notes-20.pdf

Section 9.1 - Definition of Function

Notes-21.pdf

Section 9.3 - Onto Functions

Notes-22.pdf

Section 9.5 - Composition of Functions

Notes-23.pdf