HOME PAGE OF MATH 2720W,  SECTION 004:

History of Mathematics

Fall 2016


Sarah Glaz

sarah.glaz@uconn.edux
(click on link and remove end x)

Office: MONT 230
Phone
: (860) 486 9153

Office Hours
: Tuesday, Thursday 12:30-1:30
Open Door Policy: You are welcome to drop by to discuss any aspect of the course, anytime, on the days I am on campus-- Tuesdays and Thursdays.


Class Meeting Times/Place and Course Website

Tuesday, Thursday: 11:00 - 12:15. Classroom:  MONT 419
Course website: http://www.math.uconn.edu/~glaz/math2720f16

Catalog Course Description

A historical study of the growth of the various fields of mathematics.

Textbooks

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:
Grading Policy

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 Group-Work Homework Assignments

Small individual or group-work assignments, aimed at practicing mathematical concepts and writing techniques, will be given almost every week. Some of the assignments will be worked at during class-time; 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 group-works: the group will submit one completed assignment and each member of the group will receive the grade awarded for this joint submission. Most group-works will be started in class, and absent students will not be able to receive credit for the group-work 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.

UCONN policies for W courses require that the combined lengths of the three papers (papers 1, 2 and 3), excluding bibliography, is at least 15 pages. Page length assumes a 12-point Times New Roman font, double-spaced, 1" margin page. There are about 250 words per page. Since typing-software affect page length, please use word count when calculating the length of your paper.

NO LATE SUBMISSIONS of proposals, drafts, or final versions of papers 1, 2 and 3 are accepted, unless there is a serious emergency for which you provide proof. Paper 3 is considered to be the final exam for this course and as such rescheduling its submission needs approval from UCONN's Dean of Students Office, see UCONN Final Exam Policy.

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

Extra Help: UCONN Writing Center

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.

Syllabus, Homework Assignments, and Reading Assignments

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 group-works 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 5-9

* 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 67-72); Sketch 3 (p 81-84)
Individual Assignment:
Paper 1 draft and draft cover letter (see guidelines in Papers section)
Group-work 1: Ancient Numerals

Week 3
Sept12-16

* Early Greek mathematics
* Euclid's Elements: Geometry 
D: Chapter 1 (p 1-11), Chapter 2 (p 27- 53,
you may skip the proof of  propositions I.15, I.16, I.26, I.27, I.32, I.41) 
Group-work 2: Pythagoras Theorem
Draft: Paper 1
Due: Tue, Sept 13
Week 4
Sept 19-23
* Non-Euclidean geometries 
* Euclid's Elements: Number theory
B&G: Sketch 19 (p 195-200)
D:
Chapter 2 (p 53-60, you may skip the proof of Theorem AAA)
Chapter 3 (p 68-75 and 81-83)
Individual Assignment:
Paper 1 final version and final version cover letter (see guidelines in Papers section)
Group-work 3: Eliminating Wordiness
(use Conciseness and Active versus passive voice)

Week 5
Sept 26-30

* Archimedes and the circular area
* Greek mathematics after Archimedes
* Archimedes Cattle Problem (Not required. Read for fun!)
D:
Chapter 4 (p 84-112, you may skip the proofs)
Chapter 5 (p 113-132, you may skip the proofs)
Individual Assignment:
Paper 2 draft and draft cover letter (see guidelines in Papers section)
Group-Work 4: Late Greek Mathematics
Final version:
Paper 1

Due: Tue, Sept 27
Week 6
Oct 3-7
* The history of  π

* The Mountains of Pi by Richard Preston (Not required. Read for fun!)
B&G: Sketch 7 (p 109-112)
Group-Work 5: Comma Usage (use Rules for using commas)
No class:
Tuesday, Oct 4


Week 7
Oct 10-14
* 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 129-132), Sketch 8 (p 115-120)
Group-Work 6: Organization and Focus
(use: Structure of a general expository essay)
Draft: Paper 2
Due: Tue, Oct 11
Week 8
Oct 17-21
* Renaissance: solutions to
   cubic and quartic equations
*  The quintic equation and group theory: Abel and Galois
B&G: Sketch 11 (p 135-138)
D: Chapter 6 (p 133-154)
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)
Group-Work 7: Cubic Equations


Week 9
Oct 24-28
* Descartes, Fermat and a gem from Isaac Newton
D: Chapter 7 (p 155-174 and 177-183)
B&G: Sketch 13 (p149-154)
* 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 31-Nov 4
* Calculus:
Newton, Leibniz, and the Bernoullis
D: Chapter 8 (p 184-206)
B&G: Sketch 30 (p279-284)
Individual Assignment:
Paper 3 proposal (see guidelines in Papers section)
Group-Work 9: Some Series of Newton and Leibniz

Week 11
Nov 7-11
* Euler and his legacy
D:
Chapter 9 (p 207-222)
Chapter 10 (p223-235,You may skip the proofs)
Group-Work 10: Euler's Seven Bridges of Konigsberg
Proposal: Paper 3
Due: Tue, Nov 8
Week 12
Nov 14-18
* From Gauss to Cantor
* Overview of 19 century mathematics
MTM: A biography of Gauss
B&G: Sketch 6 (p 103-106)
D: Chapter 11 (p 245-266) 
Individual Assignment:
Paper 3 draft and draft cover letter (see guidelines in Papers section)
Group-Work 11: Gauss' Congruent Integers

Thanksgiving Recess
Enjoy and have fun!



Week 13
Nov 28-Dec 2
* Cantor, Hilbert, Russell, Goedel
* The foundations of mathematics 
* Hilbert's Problems
* Goedel and the limits of logic
D: Chapter 12 (p 267-283)
B&G: Sketch 25 (p 239-244), Sketch 29 (p271-276)
Individual Assignment (counts as  a group-work):
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 5-9
* Tuesday (attendance mandatory):
   Peer-Review Workshop for Paper 3 
   (Counts as a Group-Work)
* 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 (p225-230)
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 12-18



Final version:
Paper 3

Due:
Wednesday, December 14,
12:30 - 2:30 pm
Location: My office  MONT 230


Academic Integrity

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

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This page is maintained by Sarah Glaz pooh                  
Last modified: Fall 2016