Skip navigation.

Math 11008: Explorations in Modern Mathematics

Fall 2014

Supplies: Text, Software, Calculators, Rubik's Cube

The required software for the course is MyLabsPlus. This is web-based. You must purchase an access code. The textbook is Explorations in Modern Mathematics Math 11008, custom edition for Kent State University . A hard copy of the text is optional. However, you can purchase the text bundled with a MyLabsPlus access code at considerable savings. In fact, if you purchase the bundle at this web site (for $76), it is cheaper than buying the access code alone. The same bundle is available at the bookstore in the KSU student center for $110.50.

For parts of the course you will need a basic calculator. Any calculator will be acceptable.

For one unit you will need a Rubik's cube.

Course Information

Please read the following documents carefully. Students will be held responsible for all information here.

MyLabsPlus

KSU Links

Other Links

Course Materials

Materials for Exam 1: Graph Theory

  • Pennies and Paperclips
    • Pennies and Paperclips Game

    • Quiz 1 (due at the beginning of class Friday, 8/29/14): In class Wednesday, we made the following conjecture. Give a proof of the conjecture (mathematical explanation of why it is true).
      Conjecture: In the (original) Pennies and Paperclips game, if the pennies are placed in the same colored squares, then Penny will win.
      Format: Your quiz should be typed. Put your full name, class, class time, and "Quiz 1" at the top. Then type the statement of the conjecture. Skip a space and type "Proof:" and then type your proof in paragraph form. You may include hand-drawn diagrams if you wish.
    • Quiz 1 solutions The results on this quiz were good. Here are a few particularly nice student proofs.

  • Bridges of Königsberg
    • Euler path worksheet

    • Quiz 2 (to be given at the beginning of class Wednesday, 9/3/14): In class Friday, we made the following conjectures. Come prepared on Wednesday to give a proof of each conjecture (mathematical explanation of why it is true) or else a counter-example demonstrating that it is false. Play around with more examples!

      Josh's and Jaden's Conjecture: If there are the same number or more odd than even degree vertices in a graph, then there is no Euler path.

      Alex's and Jess's Conjecture: If there are more than two vertices of odd degree in a graph, then there is no Euler path.

      Special thanks to Josh and Alex (9:55 class), Jaden and Jess (12:05 class), and all the other brave students who offered conjectures!
    • Quiz 2 solutions
      • W's solution: A nice solution, beautifully written! One quibble is that she didn't consistently use the correct mathematical terminology.
      • Dr. K's solution

  • Exam 1

Materials for Exam 2: Fibonacci Numbers and the Golden Ratio

Materials for Exam 3: Probability

Materials for Exam 4: Fair Division

Materials for Exam 5: Rubik's Cube

Email

I will expect you to read mail sent to your @kent.edu account regularly. I will occasionally send the class emails via Flashline.

Note: My last name is pronounced "crocked."