Governor's School for the Sciences 2005

Math 300 - Introduction to Abstract Mathematics

Handouts, Resources, Etc:


Class Schedule
Class Date Content/Activity Assignments
due Next Class Mtg
1 Tu May 31 Class Introductions; Fundamentals of Mathematics; What is Truth? Logic & Truth Tables Read: Introduction, §1.1, 1.2
Do: §1.1 #3d, 4ac; §1.2 #1b, 6
2 W Jun 1 Boolean Algebra; Implications; Variable Statements & Sets Read: §1.3, 1.4
Do: Prob Sheet #8 or 9, 10 or 11, 12, 16, 18, 20
3 Th Jun 2 Conditionals and Implications
Mandelbrot and Julia Sets Computer Lab
Read: 1.5
Do: Prob Sheet #21, 22,
4 F Jun 3 Variation on Conditionals; Quantifiers Read: 2.1,2.2
Do: all undone problems on Prob Sheet from 17-43, turn in 8 on Monday, be ready to do rest on the board.
5 M Jun 6 Problem and More Problems; Exam Review; Intro to Cartesian Products Do: Study for Exam 1
6 Tu Jun 7 Exam 1
Cartesian Products; Relations and their Properties
Read: 4.1, 4.2, 4.3; Read through Chapter 3 as you can
Do:
7 W Jun 8 Relations: Reflexive, Symmetric, Transitive Read: 4.3 (again), 4.4 & 4.5
Do: ?
8 Th Jun 9 Relations: Antisymmetric, Partial Order Read: 4.5, 4.6
Do: ?
9 F Jun 10 Relations: Closure, Partitions
New Homework Guide, Exam 2 Takehome
Read: 4.5, 4.6
Do: HW 1
10 M Jun 13 Closure (finally), Boardwork, Review, Examples Do: Study for Exam 2 - Definitions!
11 Tu Jun 14 Exam 2
Function Introduction: def, properties, one-to-one, onto
Read: 5.1, 5.2
Do: HW 2
12 W Jun 15 Functions: one-to-one, onto, inverses, images Read: 5.3, 5.4
Do: HW 3
Takehome for Exam 3
13 Th Jun 16 Function leftovers; Induction
Computer Lab 2
Read: 6.1, 6.3, (6.2)
Do: HW 4
14 F Jun 17 Induction; Surprise!? Read: still in 6.1-3
Do: HW 5
15 M Jun 20 Induction Wrap-up; Exam Review Do: Study for exam, finish takehome
16 Tu Jun 21 Exam 3
Graph Theory: Definitions & Isomorphisms
Notebook Info
Read:Chapters 1 & 2 in Graph Theory
Do: HW 6
17 W Jun 22 Graph Theory: Isomorphisms and Planar Read: Chapter 3
Do: HW 7
18 Th Jun 23 Graph Theory: Euler's Formula & Platonic Graphs Read: Chapters 4, 5
Do: HW 8
19 F Jun 24 Graph Theory: Platonic Graphs & Graph Colorings Read: Chapters 5, 6
Do: HW 9
20 M Jun 27 Graph Theory: Degree Vectors Do: Study
21 Tu Jun 28 Exam 4
Graph Theory: Euler Walks; Multigraphs
Read: Chapter 8
Do: HW 10
22 W Jun 29 Graph Theory: Hamilton Walks Read: Chapter 8
Do: HW 11
23 Th Jun 30 Graph Theory: Min/Max Algorithms
Proof Portfolios Due Today
Do: Continue work on HW 11
24 F Jul 1 Last Day!; Food, Games, Awards, Last Math Olympic Challenge Last Math Olympic Challenge; save this file in the work folder in MATLAB: This File

ccollins@math.utk.edu