Math 113 Fall 2017
|| Office Hours
Section 1 - 42604
8:00 - 8:50 a.m. MWF in Ayres 120
Section 12 - 42617
9:05 - 9:55 a.m. MWF in Ayres 120
MWF 10:15 - 11:30 a.m.
Tuesday 3 - 4:30 p.m.
Thursday 9:15 a.m. - noon
and by appointment
You are welcome to drop by anytime.
If I am not busy, I'll be happy to
talk to you.
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The homework solutions.
Math Tutorial Center
Public Key Encryption
Log in to the website and complete the homework assignment.
Test 3: Friday, November 10
Know the Pythagorean Theorem; be able to state it (in English!). Given the
lengths of two sides of a right triangle find the length of the other side.
Know how to tell if a triangle is a right triangle. How does the "puzzle proof"
with the 4 triangles and the square show that the Pythagorean Theorem is true?
State the Art Gallery Theorem completely accurately and in your own words
and know how to apply it. Be able to choose the best-suited points to put the
cameras in an art gallery. Be able to divide the museum into triangles and label
the vertices. Be able to do problems like these.
Sketch a gallery with 12 vertices which needs 4 cameras or 12 vertices which
needs only 3 cameras. How many cameras will you need for a gallery with 8
vertices? Can you draw a gallery with 12 vertices which needs 5 cameras?
Why or why not?
Sketch a Golden Rectangle. Given any rectangle, determine whether or not it
is a Golden Rectangle. What happens if you start with a Golden Rectangle and
remove the largest square from it? Given the base (long side) of a Golden Rectangle,
find its height (short side). Given the height (short side) of a Golden Rectangle,
find its base (long side). Be able to find the area of a Golden Rectangle given
either its base or its height. Be able to draw the Golden Spiral and find its center.
Understand tessellations, symmetry, rigid symmetry and symmetry of scale.
Be able to draw a triangle for the basic building block of the Pinwheel
Pattern and draw supertiles of the Pinwheel Pattern from five smaller tiles.
Given a diagram of the Pinwheel Pattern, outline a five-tile supertile and
a 25-tile supersupertile.
Know all about the Platonic solids - their names and various numbers of
edges, vertices and faces and their duals.
Extra Credit Escher Project
Due Monday November 6.
Another proof of the Pythagorean Theorem
Test 2: Redo
You may redo one problem from test 2 on separate paper and hande it in
along with the test on Friday, October 20. You can come to office hours to
pick up your test or get help.
Test 2: Monday, October 16.
Know Fermat's little theorem and how it relates to raising numbers to high powers in modular arithmetic.
Know public key encryption
Understand the various sets of numbers and their properties.
Natural numbers, real numbers, irrational numbers, rational numbers
Be able to prove that a number is irrational
Understand 1-1 correspondence and cardinality and how to show infinite sets have the same cardinality.
Know who Georg Cantor is and how his diagonalization proof works and what it shows.
Monday Class September 8.
Since we are studying prime numbers, if both UT's and Indiana State's scores
and the sum of their scores are all prime numbers, class will be canceled.
(See you Monday.)
Test 1: Monday, September 18.
There will be about 10 problems (max)
- Be able to solve problems similar to those in chapter 1 or discussed in class.
- Be able to estimate numbers reasonably and understand and explain the pigeonhole principle.
- You should know how to find Fibbonaci numbers and their notation.
- Understand the strategy for Fibonacci nim.
- You should know what a prime number is and how to factor an integer.
- You should understand the proof that there are infinitely many prime numbers.
- Know how to compute with modular arithmetic, for example, to verify UPC codes.
Look at the suggested problems listed in the course schedules.
The problems handed out in class on
the first two days.
Here is a nice video about modern math. We will cover many of these areas.
The Map of Mathematics
Text: The Heart of Mathematics, by Burger and Starbird (4th edition.
We will roughly cover chapters one through four with some additional topics.
There is an ebook available. See the book's
Tests: There will be three hour tests, plus a comprehensive final exam.
Homework and In-class assignments: There will be about 15 assignments
to be handed in throughout the term. You may collaborate on problems, but must
write up your own solutions. It is important to keep up with the assignments.
The best way to learn math is to struggle with lots of problems. There will also
be some assignments done and handed in during class. Not all of the available
points will be counted, so anyone who works faithfully at them will get a good assignments grade.
Grades: The 3 tests, the assignments and the final exam will each count
20% of the grade. Grades will be computed on the math departments scale:
90-100% A, 87 - 89% A-, 83 - 86 B+, 80-82% B, 77 - 79% B-, etc.
Some consideration will be given to steady improvement throughout the term;
of course consideration will also be given to a steady decline throughout the term.
Calculator: You should have a scientific calculator for this course.
For example, any TI graphing calculator (the TI - 81 through 86)
or Sharp or Casio is fine. Any calculator with an exponentiation key is fine, but
not one built into your phone or with an internet connection.
You will always be allowed to use a calculator on tests.
If you don't have one, find the nearest pawn shop.
Make Up Policy: If you must miss due to a university sanctioned meeting
let me know ahead of time. If you have an emergency, please
notify me as soon as possible (email is best) to schedule a make-up.
Last update: November 9, 2017, 10:58 am