Mathematical Reasoning: Writing and Proof (PreTeXt Edition)

Subsection Important Definitions

• Divides, divisor

• Factor, multiple

• Proof

• Undefined term

• Axiom

• Definition

• Conjecture

• Theorem

• Proposition

• Lemma

• Corollary

• Congruence modulo $n$

• Tautology

• Contradiction

• Absolute Value

Subsection Important Theorems and Results about Even and Odd Integers

• Exercise 1, Section 1.2

• Exercise 2, Section 1.2

• Exercise 3, Section 1.2

• Theorem 3.8

• Beginning Activity 2 from Section 3.2

Subsection Important Theorems and Results about Divisors

• Theorem 3.1

• Exercise 3, Section 3.1

• Task 3.a, Exercise 3, Section 3.1

• Exercise 4, Section 3.1

Subsection The Division Algorithm

Subsection Important Theorems and Results about Congruence

• Theorem 3.34

• Theorem 3.36

• Theorem 3.37

• Corollary 3.38