Mathematical Reasoning

Course Base: !! math reasoning base.base

Chapter 1: The Real Number System

STT200A Week 1 Lecture 1 Sept. 2

1. Axiomatic Mathematics
2. Inductive Argument and Deductive Argument
3. Components of Modern Mathematics
4. Mathematical Shorthands
5. Mathematical Systems — Axioms

STT200A Week 1 Lecture 2 Sept. 5

STT200ASEPT5.jpg

Note: Sept. 12 was a Quiz Bee lang.

Chapter 2: Introduction to Logic

stt200a Week 3 Lecture 1 Sept. 16

1. Defn. Statements or Propositions
2. Defn. Compound Statements
3. Defn. Logical Operators
4. Defn. Conditional Statements
5. Defn. Biconditional Statements
6. Defn. Compound Propositions
7. Thm. Logical Identities or Rules of Replacement

stt200a Week 3 Lecture 2 Sept. 19

1. Defn. Propositional Function
2. Defn. Quantifications
   1. Defn. Universal Quantification
   2. Defn. Existential Quantification
   3. Defn. Uniqueness Quantification
3. Thm. De Morgan’s Law for Quantifiers
4. Defn. Nested Quantifiers
5. Methods for Proof

Chapter 3: Sets and Functions

stt200a Week 4 Lecture 2 Sept. 26

1. Defn. Set
2. Defn. Cardinality
3. Defn. Empty Set
4. Defn. Singleton Set
5. Defn. Subset
6. Thm.
7. Cor. Sets with no elements.

stt200a w5s1 Sept. 30

1. Defn. Set Operators
   1. Defn. Complement of A
   2. Defn. Union of A and B
   3. Defn. Intersection of A and B
   4. Defn. Set Difference of A and B
   5. Defn. Symmetric Difference of A and B