sarah.glaz@uconn.edux
(click on link and remove end x)
A historical study of the growth of the various fields of
mathematics.
Please purchase the two main textbooks (available new at UCONN
Bookstore and, both new and used, at amazon.com)
In addition, we will use the following online resource (browse to become familiar with the many biographies and mathematics topics available at this website):
Click on the link below for a short list of recommended (but not required) reading:
The course grade will be determined as follows:
The final version of each paper will be graded using the
following grading scheme: 40% content (writing style, depth and
elaboration of points, evidence of supporting research), 40%
structure (organization and focus), 20% mechanics (grammar and
citation style). For details see the Paper
Grading Rubric.
According to UCONN policies for W courses, you cannot pass this
course unless you receive a passing grade for its writing
component (papers 1, 2, and 3).
Individual and
GroupWork Homework Assignments
Small individual or groupwork assignments, aimed at practicing mathematical concepts and writing techniques, will be given almost every week. Some of the assignments will be worked at during classtime; others will be given as homework. In all cases, assignments are due the same day (when they were done in class) or the Tuesday after they were assigned (when given as homework). Each week's assignment will be graded on a scale of 0 to 10 (divided among the various components). For groupworks: the group will submit one completed assignment and each member of the group will receive the grade awarded for this joint submission. Most groupworks will be started in class, and absent students will not be able to receive credit for the groupwork they missed, unless there is a serious reason for their absence.
The Papers (1, 2 and 3)
Consult these links before starting to work on your first writing
assignment.
Paper Schedule 
Paper Guidelines (an active link to each paper guidelines will appear in the week before each paper is assigned) 
Paper 1 Draft and Draft Cover Letter due: Tuesday, September 13 Final Version and Final Version Cover Letter due: Tuesday, September 27 
Paper 1 Guidelines Draft Cover Letter Template (Word file) Final Version Cover Letter Template (Word file) 
Paper 2 Draft and Draft Cover Letter due: Tuesday, October 11 Final Version and Final Version Cover Letter due: Tuesday, October 25 
Paper 2 Guidelines Draft Cover Letter Template (Word file) Final Version Cover Letter Template (Word file) 
Paper 3 Proposal due: Tuesday, November 8 Draft and Draft Cover Letter due: Tuesday, November 29 Peer Review Forms due: Tuesday, December 6 Final Version and Final Version Cover Letter due: Wednesday, December 14, 12:30  2:30 pm Location: My office MONT 230 
Paper 3 Guidelines Draft Cover Letter Template (Word file) Paper 3 Final Version Cover Letter Template (Word file) Guidelines for Peer Review Peer Review Form Template (Word file) Peer Review Groups 
I encourage you to come
to my office for help during office hours, and I will be happy to
find other times when we can meet if my office hours schedule does
not fit your schedule. Since part of the purpose of this course is
to help you learn how to write effectively, you may also wish to
consult the tutors at the UCONN Writing Center.
The actual pace of the course may be
slightly different than listed in the syllabus below. It will
depend on the students' response to the material. Homework
assignments will be given in class every week. These will
consist of both individual and groupworks that will be
completed at home or during class. Please check the course's website for updates
on a weekly basis.
Notes: * Below we will denote by: D = Journey
through Genius by W. Dunham, B&G = Math
through the Ages (Expanded 2nd Edition) by W. P.
Berlinghoff and F. Q. Gouvea, MTM = The
MacTutor History of Mathematics Archives.
Week 
Topic 
Reading for each week's
topic to be read before the Tuesday class of that week 
Homework Assignments due on the Tuesday after they were assigned 
Important Dates: No class days and Papers due dates 
Week 1 Aug 29 Sept 2 
*
Overviews
of the history of mathematics 
* Important
historical names, dates, and events * Mathematical Periods MTM: An overview of the history of mathematics 
Individual Assignment: * Math Autobiography (Guidelines) * How to recognize plagiarism: Tutorial and test (complete test and hand in the signed, completed certificate) 
No class: Thursday, Sept 1 
Week 2 Sept 59 
* The history of
numerals * The history of zero * Babylonian mathematics * Egyptian mathematics 
MTM: An overview of Babylonian mathematics An overview of Egyptian mathematics B&G: Sketch 1(p 6772); Sketch 3 (p 8184) 
Individual Assignment: Paper 1 draft and draft cover letter (see guidelines in Papers section) Groupwork 1: Ancient Numerals 

Week 3 Sept1216 
* Early Greek mathematics * Euclid's Elements: Geometry 
D: Chapter 1
(p 111), Chapter 2 (p 27 53, you may skip the proof of propositions I.15, I.16, I.26, I.27, I.32, I.41) 
Groupwork 2: Pythagoras Theorem 
Draft: Paper 1 Due: Tue, Sept 13 
Week 4 Sept 1923 
* NonEuclidean
geometries * Euclid's Elements: Number theory 
B&G:
Sketch 19 (p 195200) D: Chapter 2 (p 5360, you may skip the proof of Theorem AAA) Chapter 3 (p 6875 and 8183) 
Individual Assignment: Paper 1 final version and final version cover letter (see guidelines in Papers section) Groupwork 3: Eliminating Wordiness (use Conciseness and Active versus passive voice) 

Week 5 Sept 2630 
* Archimedes
and the circular area * Greek mathematics after Archimedes 
* Archimedes
Cattle Problem (Not required. Read for fun!) D: Chapter 4 (p 84112, you may skip the proofs) Chapter 5 (p 113132, you may skip the proofs) 
Individual Assignment: Paper 2 draft and draft cover letter (see guidelines in Papers section) GroupWork 4: Late Greek Mathematics 
Final version: Paper 1 Due: Tue, Sept 27 
Week 6 Oct 37 
* The history
of π 
* The
Mountains of Pi by Richard Preston (Not required.
Read for fun!) B&G: Sketch 7 (p 109112) 
GroupWork 5: Comma Usage (use Rules
for using commas) 
No class: Tuesday, Oct 4 
Week 7 Oct 1014 
*
Arabic mathematics * The cossic art 
MTM: An
overview of Arabic mathematics * Earliest Uses of Various Mathematical Symbols (Not required. Check for fun!) B&G: Sketch 10 (p 129132), Sketch 8 (p 115120) 
GroupWork 6: Organization and Focus (use: Structure of a general expository essay) 
Draft: Paper 2 Due: Tue, Oct 11 
Week 8 Oct 1721 
* Renaissance: solutions to cubic and quartic equations * The quintic equation and group theory: Abel and Galois 
B&G:
Sketch 11 (p 135138) D: Chapter 6 (p 133154) MTM: A biography of Abel A biography of Galois 
Individual Assignment: Paper 2 final version and final version cover letter (see guidelines in Papers section) GroupWork 7: Cubic Equations 

Week 9 Oct 2428 
* Descartes, Fermat and a
gem from Isaac Newton 
D: Chapter 7 (p 155174 and
177183) B&G: Sketch 13 (p149154) * The enigmatic number e (Not required. Read for fun!) 
Group Work 8: Common Mistakes  Final version: Paper 2 Due: Tue, Oct 25 
Week 10 Oct 31Nov 4 
* Calculus: Newton, Leibniz, and the Bernoullis 
D: Chapter 8
(p 184206) B&G: Sketch 30 (p279284) 
Individual Assignment: Paper 3 proposal (see guidelines in Papers section) GroupWork 9: Some Series of Newton and Leibniz 

Week 11 Nov 711 
* Euler and
his legacy 
D: Chapter 9 (p 207222) Chapter 10 (p223235,You may skip the proofs) 
GroupWork 10: Euler's Seven Bridges of
Konigsberg 
Proposal: Paper 3 Due: Tue, Nov 8 
Week 12 Nov 1418 
* From Gauss to Cantor * Overview of 19 century mathematics 
MTM: A
biography of Gauss B&G: Sketch 6 (p 103106) D: Chapter 11 (p 245266) 
Individual Assignment: Paper 3 draft and draft cover letter (see guidelines in Papers section) GroupWork 11: Gauss' Congruent Integers 

Thanksgiving
Recess 
Enjoy and have
fun! 

Week 13 Nov 28Dec 2 
* Cantor, Hilbert, Russell,
Goedel * The foundations of mathematics 
* Hilbert's
Problems * Goedel and the limits of logic D: Chapter 12 (p 267283) B&G: Sketch 25 (p 239244), Sketch 29 (p271276) 
Individual Assignment (counts as a
groupwork): Paper 3 Peer Review Forms (see guidelines and the list of peer review groups in Papers section) 
Draft: Paper 3 Due: Tue, Nov 29 
Week 14 Dec 59 
* Tuesday (attendance mandatory): PeerReview Workshop for Paper 3 (Counts as a GroupWork) * A brief look at today's mathematics. 
Recommended reading (not required): * Poetry Inspired by Mathematics: A brief journey through history * List of Unsolved Problems in Mathematics B&G: Sketch 23 (p225230) 
Final Exam Individual Assignment: Paper 3 final version and final version cover letter (see guidelines in Papers section) 
Peer Review Forms: Due: Tue, Dec 6 
Final Exam Week Dec 1218 
Final version: Paper 3 Due: Wednesday, December 14, 12:30  2:30 pm Location: My office MONT 230 
A fundamental tenet of all educational institutions is academic
honesty; academic work depends upon respect for and acknowledgment
of the research and ideas of others. Misrepresenting someone
else's work as one's own is a serious offense in any academic
setting and it will not be condoned. Academic misconduct includes,
but is not limited to, providing or receiving assistance in a
manner not authorized by the instructor in the creation of work to
be submitted for academic evaluation (e.g. papers, projects, and
examinations); any attempt to influence improperly (e.g. bribery,
threats)any member of the faculty, staff, or administration of the
University in any matter pertaining to academics or research;
presenting, as one's own,the ideas or words of another for
academic evaluation; doing unauthorized academic work for which
another person will receive credit or be evaluated; and presenting
the same or substantially the same papers or projects in two or
more courses without the explicit permission of the instructors
involved. A student who knowingly assists another student in
committing an act of academic misconduct shall be equally
accountable for the violation, and shall be subject to the
sanctions and other remedies described in The Student Code.
Student Support Services
This page is maintained by Sarah Glaz
Last modified: Fall 2016