Governor's School for the Sciences 2007

Math 300 - Introduction to Abstract Mathematics


Handouts, Resources, Etc:

Class Schedule
Class Date Content/Activity Assignments, etc.
1 Mo Jun 11 Class Introductions; Meaning of Proof; Nature of Mathematics Read Introduction, §1.1, §1.2
2 Tu Jun 12 Logic and Truth Tables Read §1.3, §1.4
3 We Jun 13 Link between Logic and Sets; Basic Set Theory Read §1.5, §2.1
4 Th Jun 14 Basic defition proofs (for set laws); More proofs; 1st Team Competition Read §2.1
5 Fr Jun 15 Quantifiers; Formating proofs Read §2.2, §3.1 and more of Chapter 3 if possible
Set Problems (pdf)
6 Mo Jun 18 Set Proofs Extravaganza Read §3.2
7 Tu Jun 19 Negations in proofs; Intervals Read thru §3.4 or more
Intervals (pdf)
8 We Jun 20 Sections 3.2-3.3 Still Reading Chapter 3; Prep for Exam
9 Th Jun 21 Exam 1; Cartesian Products Read 4.1
10 Fr Jun 22 Cartesian Products & Relations Read 4.2 & 4.3
Cartesian Product Problems (pdf)
11 Mo Jun 25 Making sense? of Domain and Range Read 4.4 & 4.5
Relation Problems (pdf)
12 Tu Jun 26 Other properties of relations Finish Chapter 4
13 We Jun 27 More relations: Order relations, equivalence, etc. Moving on to Chapter 5, so 5.1
Proof Presentation Rubric (pdf)
14 Th Jun 28 Functions: definition and images Read 5.1 & 5.4, we'll be in 5.2 soon
Notebook Info (pdf)
Function Problems (pdf)
15 Fr Jun 29 More with images; 1-1 and onto also Chapter 5; just read it all
16 Mo Jul 2 Practice with 1-1 and onot 7.1 & 7.2
17 Tu Jul 3 Infinities; Craft Day 6.1
17 We Jul 4 July Fourth Holiday  
18 Th Jul 5 Induction 6.2, 6.3
Induction Problems (pdf)
Hutch's XC2 Problems (pdf)
19 Fr Jul 6 More Induction; Introduce Axioms? Read and Try the Axiom Problems
Field and Order Axioms (pdf)
Axiom Problems (pdf)
More Notebook Problems (pdf)
20 Mo Jul 9 Some Axioms; RSA Encoding with Keith  
21 Tu Jul 10 The Number System; Knots with Hutch Study
22 We Jul 11 Exam & Proof Work  
23 Th Jul 12 Proof Work; Team Challenge; Evaluations  
24 Fr Jul 13 End-of-Class Celebration  

ccollins@math.utk.edu