Mathematics USEM - Fall 2017
Monday, Wednesday, Friday 9:25 am - 10:15 am, 114 O'Shaughnessy Hall
Course website: nd.edu/~smapes1/mathUSEM.html
Email: smapes1 (at) nd.edu
Office: 228 (Hayes-Healey)
Tel: (574) 631-7586
Or by appointment.
Groups and Symmetry by David W. Farmer, and
The Equation that Couldn't
Be Solved: How Mathematical Genius Discovered the Language of
Symmetry by Mario Livio.
Homework 15%; Midterms 30% (15% each); Weekly Reflections 10%; Term Paper 20%; Final 25%
There will be two midterm exams. The first will
be in class on Friday Oct. 6.
The second will be Friday
The projected final exam date is TBA
Each week I will post a set of questions for you to work on. Homework
will be collected on Wednesdays each week. The lowest homework
score will be dropped.
We will read the book by Mario Livio over the course of the semester,
and you will be asked to write refelections on the readings of
about one to two pages. These will be due on the Mondays specified below in class, and should
You will be expected to write a term paper of about 10-15 pages over the
course of the semester. This paper can be more mathematical in nature
or it can explore some of the history associated with these topics. A
list of proposed term paper topics will be handed out in class and
posted on Sakai, but if you have
an idea for a paper which is not listed please discuss it with
me. Per the guidelines for the University Seminars, we will have a
revision process for this paper. Specifically I will require that you
make an appointment at the Notre
Dame Writng Center
to have your paper looked over before you turn
in a first draft to me (i.e. the first draft you give me will actually
be a second draft).
The following deadlines will be
important to note:
Choose topic - Monday September 11
Outline of paper - Monday October 9
First Draft Due - Monday November 13
Final Draft Due - Monday December 4
Honesty: This class follows the binding Code of Honor at Notre Dame. The graded work you do in this class must be your own. In the case where you collaborate on homework with other students make sure to fairly attribute their contribution to your project. For more information on the honor code see www.honorcode.nd.edu .
This is a tentative syllabus and it is likely to change as the course progresses.
|| Reading - sections in textbook
| Aug. 23, 25
|| Squares and Hexagons
sec. 1.1, 1.2
| Homework 1 - due 8/30
| Aug. 28, 30, Sept 1
|| Triangles and Putting it all together
sec. 1.3, 1.4
| Homework 2
due 9/6 in class
Livio Ch 1 - due 9/4
| Sept. 4,6,8
|| Translation and rotation.
| Homework 3
due 9/13 in class
Livio Ch 2 - due 9/11
| Sept. 11,13,15
|| Mirror and Glide reflections, and combining rigid motions.
sec. 2.3, 2.4, 2.5
| Homework 4
due 9/20 in class
Livio Ch 3 - due 9/18
| Sept. 18,20,22
sec. 3.1, 3.2
| Homework 5
due 9/27 in class
Livio Ch 4 - due 9/25
| Sept. 25,27,29
|| Multipication, Inverses, and finite symmetry types.
sec. 3.3, 3.4, 3.5
| Homework 6
due 10/4 in class
Livio Ch 5 - due 10/2
| Oct. 2,4,6
|| Strip Patterns. Midterm 1
| Homework 7
due 10/11 in class
| Oct. 9,11,13
|| Rotation symmetry, mirrors and glides.
| Homework 8
due 10/25 in class
Livio Ch 6 - due 10/23
| Oct. 16,18,20
|| Fall break.
| Oct. 23,25,27
|| Classifying wallpatterns and basic units.
| Homework 9
due 11/1 in class
Livio Ch 7 - due 10/30
| Oct. 30, Nov. 1,3
|| Groups, finite figures.
| Homework 10
due 11/8 in class
Livio Ch 8 - due 11/6
| Nov. 6,8,10
|| Addition, Multipication.
sec. 6.2,6.3, 6.4
due 11/15 in class
Livio Ch 9 - due 11/13
| Nov. 13,15,17
|| Rearrangements and Permutations. Midterm 2
| Homework 11
due 11/27 in class (note this is a Monday)
| Nov. 20, (22,24)
|| Generators. Thanksgiving (no
class on 22rd or 24th).
| Homework 12
due 11/29 in class
| Nov. 27, 29, Dec. 1
|| Rearranging basic units, strip patterns, wallpatterns.
| Homework 13
due 12/6 in class
| Dec. 4, 6
||Symmetry in the Real World