Mathematics 390:  History of Mathematics
Spring 2010
Introduction

Professor:        Jeff Johannes                                    Section 1    MWF    10:00 - 10:50a    Sturges 208a
Office:            South 326A                    
Telephone:      245-5403
Office Hours:   Monday 2-3p, Tuesday 5-6p, Wednesday 4-5p, Thursday 8-9p, Friday 12N-1p, and by appointment or visit
Email Address: Johannes@Geneseo.edu
Web-page:        http://www.geneseo.edu/~johannes

Textbook
    Mathematics in Historical Context, Jeff Suzuki

Purposes
    The first main goal of this course is to connect the mathematics you have learned (and some you haven't) with the history you have learned (and some you haven't).  The second main goal is to connect the mathematics you have learned together.

Grading
    Your grade in this course will be based on four main components.  One-fifth each will be determined by daily reading reactions and by a midterm essay exam.  Three-tenths each will be determined by a research paper in history and mathematics and by a final essay exam.  More components may be integrated into this evaluation.  Any alternate grading proposal must be discussed before and submitted by January 29 (the second Friday of the course).

Reading
    This book is much more a history book than a mathematics book.  It reads like "what mathematics was going on during all the history I learned about in humanities?"  The book begins at the dawn of human mathematics and runs through the second world war.  You have reading assignments for each class day, roughly ranging from 7 to 15 pages.  Our entire reading will come from our book, and we will complete the entire book by the end of the course.  Each day (with three exceptions - the first day, midterm day, and the final day) you are required to email reading reactions before class.  These reading reactions must include reactions to at least five topics in the reading.  They must be written in intelligible English.  Each one will be evaluated out of 5 points, with points deducted for fewer than five points being addressed.  They must be time-stamped by 9:00a that day.  They must be in the body of the email - no attachments.  I take no responsibility for email that gets spam filtered.  To help avoid this - be sure to include a subject beginning with "390".  I also will do no detective work to determine who gets credit for them - sign your submissions.  Finally, you will only receive credit for your reading reactions for that day if you are in class that day.  By getting your reactions an hour before class, I hope to incorporate some of them into the class session that day.  With 45 of you, I cannot promise to do this for everyone. 

Exams
    There will be a midterm and a final exam.  Both will be essay exams and involve analysis of the mathematical and historical content of our investigation.  Both will be written in class using laptop computers provided by you.  I will accept you not using a computer for the exam, but I expect your work will be far lesser quality by doing so - less written, no editing capability, illegible &c, and I will not compensate in grading.  All exams will be graded to the same standard.  The final will naturally be more lengthy.  Both will include a variety of questions and allow for some choice of which questions to answer.  More details will be provided as we approach the exams. 

Research Paper
    You will write a 1200-2000 word research paper on a topic in the history of mathemaitcs.  Papers will be graded in three main aspects:  writing, historical content, and mathematical content.  Stories about mathematicians will not suffice as mathematical content, and a date and name will not suffice for historical content.   I will assign a signed letter evaluation in each of these three aspects and then average them.   The final paper will be a substantial research paper on a topic not covered in class.   Selecting the topic by the deadline will be worth 5%, the annotated bibliography will be worth 20%, the draft will be worth 30%, and the final paper will be worth 45%.    For those seeking a teaching certification, the topic must be from the NCTM/NYS standards at their level of anticipated certification.  For those who are not, the topic must be from a post-secondary class they have already (or are currently) taken.  The topic should be a topic of no more than a week at either level (one point on NYS standards would be typical).   Due dates are indicated in the schedule below.  For those wishing to satisfy oral research requirement, may present research paper during a GREAT day (The most important are 4, 14, 16, 22, 28, 10, 12, 24, 27) math. history session. 

Other components
    More aspects for evaluation may include, but are not limited to problem sets related to the material, connections to curriculum (at pre-K - 16 levels), paper on mathematical notation.

Feedback
    Occasionally you will be given anonymous feedback forms.  Please use them to share any thoughts or concerns for how the course is running.  Remember, the sooner you tell me your concerns, the more I can do about them.  I have also created a web-site which accepts anonymous comments.  If we have not yet discussed this in class, please encourage me to create a class code.  Of course, you are always welcome to approach me outside of class to discuss these issues as well. 

Disability Accommodations
    SUNY Geneseo will make reasonable accommodations for persons with documented physical, emotional or learning disabilities.  Students should consult with the Director in the Office of Disability Services (Tabitha Buggie-Hunt, 105D Erwin, tbuggieh@geneseo.edu) and their individual faculty regarding any needed accommodations as early as possible in the semester.

Religious Holidays
    It is my policy to give students who miss class because of observance of religious holidays the opportunity to make up missed work.  You are responsible for notifying me no later than February 1 of plans to observe the holiday.  


Schedule

January 20    Course Introduction
January 22    1.1 / 1.2

January 25  1.3
January 27   -2.1.2
January 29    2.1.3-

February 1    -2.2.2
February 3    2.2.3-
February 5    -3.1.2   Research Project Topic Due

February 8    -3.1.3
February10     3.2
Febuary 12    4.1

February 15   4.2
February 17   4.3
February 19   4.4

February 22   5.1
February 24   -5.2.2
February 26   5.2.3-

March 1      5.3  Annotated Bibliography due
March 3      6.1
March 5      -6.2.2

March 8     6.2.3-
March 10   7.1
March 12   Midterm  - Chapters 1-6

March 22  -7.2.3
March 24   7.2.4-
March 26   -7.3.5   

March 29   7.3.6-
March 31   8.1
April 2     8.2

April 5    -8.3.3   Research Paper Draft due
April 7    8.3.4-
April 9    9.1    

April 12    9.2 / 9.3
April 14    9.4
April 16    -10.1.3

April 19    10.1.4-
April 21    10.2
April 23    11.1

April 26    11.2
April 28    11.3
April 30    -11.4.2

May 3        11.4.3-Epilog Final research paper due.

Tuesday, May 11 8-11a   Final XM