Mathematics 170: Ideas in Mathematics
Homework 7
1. (This is a repeat of problem 7 on HW 6.) We saw how to build cubes in all dimensions;
how about triangles? A 0-dimensional triangle is just a point. A 1-dimensional triangle is
a line segment; you know w
Mathematics 170: Ideas in Mathematics
Midterm exam solutions
Here are solutions to the exam.
1. Consider an equilateral triangle with side length 1. Let there be 10 points inside the
triangle. Is it possible that no two of these points are within distance
Mathematics 170: Ideas in Mathematics
Midterm study guide
The midterm exam is on Thursday, June 11, from 4:20 to 5:55 pm. I plan to start and
end promptly.
There will be about ten questions. As you might expect, theyll be shorter than the
homework questio
Mathematics 170: Ideas in Mathematics
Homework 8
This assignment is due Wednesday, July 1, 2009, at the beginning of class. Please hand
the homework in in class. If you cant make it to class, place it in my mailbox in the
departmental oce (DRL 4W1) or bri
Mathematics 170: Ideas in Mathematics
Homework 8
This assignment is due Wednesday, July 1, 2009, at the beginning of class. Please hand
the homework in in class. If you cant make it to class, place it in my mailbox in the
departmental oce (DRL 4W1) or bri
Mathematics 170: Ideas in Mathematics
Homework 6
This assignment is due Monday, June 22, 2009, at the beginning of class. Please hand
the homework in in class. If you cant make it to class, place it in my mailbox in the
departmental oce (DRL 4W1) or bring
Mathematics 170: Ideas in Mathematics
Solutions to Homework 5
1. Suppose you had innitely many people, each one wearing a uniquely numbered
button: 1, 2, 3, 4, 5, . . . Imagine each person has a penny. You give each person a penny;
then you ask each perso
Mathematics 170: Ideas in Mathematics
Solutions to Homework 4
1(a). Let R = 5.63121212 . . . Then 100R = 563.121212 . . . Subtract these; the dierence is 99R = 557.49. So R = 557.49/99; multiplying the top and bottom by 100, we get
R = 55749/9900.
1(b). W
Mathematics 170: Ideas in Mathematics
Final study guide
The nal exam is on Thursday, July 2, from 4:20 to 5:55 pm. I plan to start and end
promptly.
There will be about ten questions. As you might expect, theyll be shorter than the
homework questions. Eac