# 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