Dr. Z.'s Office Hours: Mondays and Thursdays, 9:10-10:10am, Hill 704.
The quizzes and exams will also be half "history" (and you are welcome to consult your hand-written notebook) and one half "real math" (inspired by the history), that will be covered in class. Homework will be assigned, based on what we did in class, each time, the night after each class.
Added Feb. 26, 2017: Decide on a topic for final project.
You are welcome to participate in the on-going Challenge ProblemsContest [totally optional, for fun and glory, and modest prizes, does not influence the grade at all]
To find out magic word-squares with students' name, find your file-name in this directory
For some of the homework you need to print out square-paper .
For the Two Proofs of the Pythagorean Theorem, download the pictures in this directory .
[Here are the Solutions (and important comments)]
1981 article (by Philip Todd and Dr. Z.)
homework 0 (due Feb. 2)
[Added Jan. 23, 2017: Here is the attendance quiz and here are the full solutions.]
homework 1 (due Feb. 2)
[Added Jan. 26, 2017: Here is the attendance quiz and here are the full solutions.]
homework 2 (due Feb. 9)
[Added Jan. 30, 2017: Here is the attendance quiz and here are the full solutions.]
homework 3 (due Feb. 9)
Quiz 1 (on hw0 and hw1)
[Added Feb. 2, 2017: Here is the real quiz 1 and here are the full solutions of quiz 1]
[Added Feb. 2, 2017: Here is the attendance quiz and here are the full solutions.]
homework 4 (due Feb. 16)
[Added Feb. 6, 2017: Here is the attendance quiz and here are the full solutions.]
Pythagorean theorem(wiki) Many proofs of Pythagoras (from Alexander Bogomolny's wonderful "Cut the Knot" website) Pythagorean Triple(wiki)
Quiz 2 (on hw2, hw3), rescheduled from Feb. 9, 2017.
[Added Feb. 13, 2017: Here is the attendance quiz and here are the full solutions.]
[Added Feb. 13, 2017: Here is the Real Quiz 2 and here are the full solutions of Real Quiz 2 ]
Euclid's Postulates Non-Euclidean Geometry Axiomatic_system Godel's Incompleteness Theorem Liar's Paradox Quiz 3 (on hw4 and hw5)
[Added Feb. 16, 2017: Here is the Real Quiz 3 and here are the full solutions of Real Quiz 3 ]
[Added Feb. 16, 2017: Here is the attendance quiz and here are the full solutions.]
[Added Feb. 20, 2017: Here is the attendance quiz and here are the full solutions.]
homework 9 (due March 2) Quiz 4 (on hw6 and hw7)
Added Feb. 23, 2017: Here is the real quiz 4 and here are the full solutions to real quiz 4
Added Feb. 23, 2017: Here is the attendance quiz and here are the full solutions.
homework 10 (due March 9)
Added Feb. 27, 2017: Here is the attendance quiz and here are the full solutions.
homework 11 (due March 9) Quiz 5 (on hw8 and hw9)
Added March 2, 2017: Here is the real quiz 5 and here are the full solutions to real quiz 5
Added March 2, 2017: Here is the attendance quiz and here are the full solutions.
homework 12 (due March 23)
Added March 6, 2017: Here is the attendance quiz and here are the full solutions.
All about π
Wikipedia articles about Pi and Machin-like formulas
homework 13 (due March 23)
Quiz 6 (on hw10 and hw11)
Added March 9, 2017: Here is the real quiz 6 and here are the full solutions to real quiz 6
Added March 9, 2017: Here is the attendance quiz and here are the full solutions.
Added March 20, 2017: Here is the attendance quiz and here are the full solutions.
Added March 25, 2017: Here is the Exam I and here are the full solutions to Exam I
Added March 25, 2017: Here is the attendance quiz 14 and here are the full solutions
wiki article on the 15 puzzle 1879 article
Play it On-Line! wiki article on Groups
Added March 30, 2017: Here is the attendance quiz 15 and here are the full solutions
wikipedia article on Eulerian paths Seven Bridges of Könisberg
Added April 3, 2017: Here is the attendance quiz 16 and here are Alicia Sukhram's full solutions, and Joshua Pomerantz's full solutions (that also indicates the Eulerian cycle and path, when they exist) [both posted by kind permission]
Quiz 7 (on hw14 and hw15)
Added April 6, 2017: Here is the attendance quiz 17 and here are the solutions
Added April 6, 2017: Here is the real quiz 7 and here are solutionss
Catch Up! Detecting Gibberish. More on the 15 puzzle.
Added April 10, 2017: Here is attendance quiz 18 and here are its solutions
wiki article on Pascal's Triangle wiki article on the Binomial Distribution
Added April 13, 2017: Here is attendance quiz 19 and here are its solutions
Added April 13, 2017: Here is Real quiz 8 and here are its Solutions to Quiz 8
wiki article on Chaos Theory wiki article on Fractals wiki article on the Feigenbaum constant wiki article on the Mandelbrot set
Added April 17, 2017: Here is attendance quiz 20 and here are its solutions
REVIEW
Added April 20, 2017: Here is Real Quiz 9 and here are its solutions to Real Quiz 9
Added April 20, 2017: Here is attendance quiz 21 and here are its solutions
Added April 24, 2017: Here is Exam 2 and here are the solutions to Exam 2
Added April 27, 2017: Congratulations to the winners of the Challenge ProblemsContest
Congratulations also to the runner-ups:
Added May 1, 2017: The winners of the peer-reviewed oral presentations are (the averages out of 10)