Summer 2007--Math 100

Here are the collected notes and materials that I accumulated on my website for the Math 100 course I taught in the summer of 2007. I have attempted to accumulate on this site some of the extra materials such as exam reviews and the exams themselves to share with other people who might be interested in it. All PDFs are my own creation unless otherwise noted and are free to use and share.

• General Course Materials

• syllabus.pdf
• Exams
• Exam 1
• Exam 2
• Exam 3
• Exam 4 (Biographical Essay)
• Exam 5
• Exam 6

• Week 1 / Unit 1: Counting and Representation of Numbers

• Handout: History of Numbers
• Homework: homework_01.pdf
  Due Thursday, May 24
• Website: www.cut-the-knot.org/binary.shtml
  This website has a javascript utility that will help you see how base conversions work.
• Homework: homework_02.pdf
  Due Thursday, May 24
• Handout: Pythagorean Theorem - Details, history, proof, and President Garfield
• ANNOUNCEMENT: First Exam on Tuesday May 29. No class on Monday.
  REVIEW SHEET

• Week 2 / Unit 2: Set Theory and Propositional Logic

• Handout: Set Theory
• Homework: homework_03.pdf
  Due Thursday, May 31
• Website: www.cut-the-knot.org/LewisCarroll/index.shtml
  Highly recommended. I will probably pull some material from here for Friday.
• Homework: homework_04.pdf
  Due Friday, June 1
• Website: www.math.hawaii.edu/~hile/math100/logice.htm
  This is a great page made by Professor Hile about Lewis Carrol and his logic puzzles. Lots of practice problems!
• ANNOUNCEMENT: Second Exam on Monday June 4.
  REVIEW SHEET
• ANNOUNCEMENT: I will have an extra office hour (9:30-10:30) before the exam on Monday.

• Week 3 / Unit 3: Graph Theory

• Website: www.cut-the-knot.org/do_you_know/graphs.shtml
• Website: www-groups.dcs.st-and.ac.uk/~history/Biographies/Euler.html
• Homework: Euler/Hamiltonian Paths and Circuits, The Traveling Salesman and Highway Inspector Problems. (p. 134-135 in Mathematics: The Man-Made Universe by Stein)
• ANNOUNCEMENT: Third Exam on Tuesday June 12.
  REVIEW SHEET
• Homework: homework_05.pdf

• Week 4 / Unit 4: Consumer Mathematics

• ANNOUNCEMENT: There is no exam over this material, but you should continue to work on your biographical essays which are due on Monday, June 18.
• Website: www.math.hawaii.edu/~hile/math100/
  This week I will be pulling notes from Professor Hile's chapter on Consumer Math. All of the relevant notes can be found on this page.
• Homework: homework_06.pdf
  Questions on Sections 4A-4C of Consumer Math from the link above.
  Due Thursday, June 14 with the Graph Theory homeworks from last week.
• Homework: homework_07.pdf
  Questions on Sections 4D-4E of Consumer Math from the link above.
  Due Friday, June 15
• Homework: homework_08.pdf
  Questions on Section 4F of Consumer Math from the link above.
  Updated this late... already due.

• Week 5 / Unit 5: Abstract Algebra

• Homework: homework_09.pdf
  Some sample problems from group theory.
  Due Thursday, June 21
• ANNOUNCEMENT: Fifth exam will be on Friday, June 22.
  REVIEW SHEET

• Week 6 / Unit 6: Number Theory