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University of Connecticut College of Liberal Arts and Sciences Department of Mathematics

Welcome to History of Mathematics (2720W) 2015

Please check weekly for updates!

Catalog course description

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

Time Line :

Sylabus

  • CH 4
  • Archimedes Cattle Problem
  • D: Chapter 5
  • An overview of Arabic mathematics
  • B&G: Sketch 10
  • Italian Renaissance:D: Chapter 6
  • B&G: Sketch 11
  • Isaac Newton D: Chapter 7
  • Newton, Leibniz, and the Bernoullis Ch 8
  • Claculus Overview
  • Peer Review
  • Present a mathematician
  • Paper 3 guidelines
  • Euler and his legacy:D: Chapter 9 (p 207-222) and Chapter 10 (p223-235)
  • Cantor D: Chapter 11 (p 245-266)
    B&G: Sketch 25 (p 237-242)        D: Chapter 12 (p 267-283)
  • Presentations
  • Peer review due

Assignmets:


  • 3)Group Work: Ancient Numerals (done in class)
  • Paper 1
  • Draft Paper 1: due Feb 9
  • 4)Writing Exercises from OWL: Eliminating Wordiness
  • 5)In Class Group Work:

    Teaching Detailed Writing and Procedural Transitions-Mouse Trap

  • 6)In Class Group Work:           APA-An Interview
  • 7 )In Class Group Work:Number theory problems
  • Paper 1 (to be submited both formats: hard copy and .Pdf)
  • 8)In Class Group Work:PI B&G: Sketch 7 (p 107-110)
  • 9)In Class Group Work: comma
  • Paper 2 due
  • 10) Sketch 8 (p 113-118) 
  • (Reconstruct a paper: revision paper 2 in process)
  • 12) "Show and Tell" about mathematics during class Monday March 30
  • Paper 3 guidelines
  • Peer review due
  • Proposal Paper 3
  • Draft Paper 3
  • Paper 3 due at Final exam time (FINAL PAPER DUE: TBA)
  • Extra help:
  • Uconn Writing Center: All UConn students are invited to visit the University Writing Center for individualized tutorials. The Writing Center staff includes talented and welcoming graduate and undergraduate students from across the humanities, social sciences, and sciences. They work with writers at any stage of the writing process, from exploring ideas to polishing final drafts. Their first priority is guiding each student's revisions, so they frequently provide a sounding board for a writer's ideas, arguments, analytical moves, and uses of evidence. They can also work with you on sentence-level concerns, but please note that they will not proofread for you; instead, they will help you become a better editor of your own work. You should come with a copy of the assignment you are working on, a current draft (or notes if you are not yet at the draft stage), and ideas about what you want out of a session. Tutorials run 45 minutes and are free. You can drop in or make an appointment.
  • Academic Integrity                        In this course we aim to conduct ourselves as a community of scholars, recognizing that academic study is both an intellectual and ethical enterprise. You are encouraged to build on the ideas and texts of others; that is a vital part of academic life. You are also obligated to document every occasion when you use another’s ideas, language, or syntax. You are encouraged to study together, discuss readings outside of class, share your drafts during peer review and outside of class, and go to the Writing Center with your drafts. In this course, those activities are well within the bounds of academic honesty. However, when you use another’s ideas or language—whether through direct quotation, summary, or paraphrase—you must formally acknowledge that debt by signaling it with a standard form of academic citation. Even one occasion of academic dishonesty, large or small, on any assignment, large or small, will result in failure for the entire course and referral to Student Judicial Affairs. For University policies on academic honesty, please see UConn’s Responsibilities of Community Life: The Student Code and the Office of Community Standards: http://www.community.uconn.edu
  • Students With Disabilities    
    Students who think that they may need accommodations because of a disability are encouraged to meet with me privately early in the semester. Students should also contact the Center for Students with Disabilities as soon as possible to verify their eligibility for reasonable accommodations.  For more information, please go to http://www.csd.uconn.edu/.
  • Counseling and Mental Health Services http://www.cmhs.uconn.edu/
  • Career Services http://www.career.uconn.edu/
  • Alcohol and Other Drug Services http://www.aod.uconn.edu/
  • Dean of Students Office 486-3426
  • About Writing:

  • APA citation style from Cornell
  • general APA style http://writing.wisc.edu/Handbook/DocAPA.html from the University of Wisconsin (note that the only APA formatting you must apply is the citation style; you don't need to worry about formatting headings as APA requires, for instance)
  • Evaluationg sourses:
  • the CSRS checklist from Univ. of Cape Town http://www2.lib.uct.ac.za/infolit/cars.htm
Simple Range SearchingSimple Range Searching


About the course
According to university-wide policies for W courses, you cannot pass this courseunless you receive a passing grade for its writing components.

Text book

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):

Grading Policy

The course grade will be determined as follows:

The final version of each paper will be graded using the following grading scheme: content (writing style, depth and elaboration of points, evidence of supporting research), argument (focus and organization), mechanics (correct grammar). For details see the Paper Grading Rubric. 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).
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

ALL PAPERS ARE TO BE SUBMITTED BOTH FORMATS:
HARD COPY (IN CLASS AND .PDF VIA EMAIL)

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 each paper is assigned)
Paper 1

Paper 1
Guidelines
Draft Cover Letter Template
Final Version Cover Letter Template
Paper 2
Paper 2
Guidelines
Draft Cover Letter Template
Final Version Cover Letter Template
Paper 3
Paper 3
Guidelines
Draft Cover Letter Template
Final Version Cover Letter Template
Guidelines for Peer Review
Peer Review Template


Individual and Group-Work 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 Friday after they were assigned. 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.


Course outline

Notes: * Below we will denote by: D =  Journey through Genius by W. Dunham,  B&G = Math through the Ages by W. P. Berlinghoff and F. Q. Gouvêa,  MTM = The MacTutor History of Mathematics Archives.                        

Week 1: Introduction
Jan19-23
 Overviews of the history of mathematics


Handouts/Readings:
* Important historical names, dates, and events
* Mathematical Periods
MTM: An overview of the history of mathematics

No class: Jan19
Week 2: Arithmetic
Jan 26-30
* Babylonian mathematics
* Egyptian mathematics
* The history of numerals
* The history of zero

MTM:

* An overview of Babylonian mathematics
* An overview of Egyptian mathematics
B&G: Sketch 1(p 65-70),
B&G:Sketch 3 (p 79-82)
Alternative date (Friday Jan 30)
Week 3: Geometry
Feb 2-6
Assign Paper1

* Early Greek mathematics
* Euclid's Elements: Geometry





D: Chapter 1 (p 1-11)
D: Chapter 2 (p 27- 60, you may skip the proof of  propositions I.15, I.16, I.26, I.27, I.32, I.41 and Theorem AAA) 

Draft Paper 1: due Feb 4

Week 4: Greek Number Theory
Feb 9-13
* Euclid's Elements: Geometry
* Euclid's Elements: Number theory
  APA-Owl





D: Chapter 3 (p 68-75 and 81-83)


Week 5: Archimedes
Feb 16-20

* Archimedes and the circular area
* Euclid's Elements: Geometry Non-Euclidean geometries




D: Chapter 4 (p 84-112)
* Archimedes Cattle Problem (Not required. Read for fun!)
B&G: Sketch 19 (p 193-198)
No class: Mon. Feb.16

Final version Paper 1: due Feb 20

Week 6 : Greek mathematics after Archimedes
Feb 23-27
* The history of  π


D: Chapter 5 (p 113-118 and 129-132)
B&G: Sketch 7 (p 107-110)
Proposal Paper 2: due Feb 27
Week 7: Algebra
March 2-6
* Greek mathematics after Archimedes
* Arabic mathematics
How do we write
Rewrite paragraph
Comma quick rules



MTM:
* An overview of Arabic mathematics

* The man who counted by Malba Tahan (recommended, but not required)
* Earliest Uses of Various Mathematical Symbols (Not required. Check for fun.)

Week 8
March 9-13
* The cossic art
* Italian Renaissance: solutions to cubic and quartic equations





B&G: Sketch 10 (p 127-130), Sketch 8 (p 113-118)
Organization and Focus
(use Structure of a general expository essay)
Rewrite paragraph

D: Chapter 6 (p 133-154)
B&G: Sketch 11


Draft Paper 2: Due on March 11
Week 9
March 16-20 No class


Week 10
March 23-27
* Gems from Isaac Newton

Spring Break: Relax and have fun!



D: Chapter 7 (p 155-174 and 177-183)





Final version Paper 2
: Due March27
Week 11
March 30-April3
* Calculus: Newton, Leibniz, and the Bernoullis


"Show and Tell" about mathematics during class Monday March 30
D: Chapter 8 (p 184-206)



Proposal Paper 3
:Due April 1
No class:Feb. April3
Week 12
April 6-10
* Euler and his legacy

* Fermat's Last Theorem


D: Chapter 9 (p 207-222) and Chapter 10 (p223-235, you may skip the proofs)

B&G: Sketch 13 (p147-152)



Week 13
April 13-17
* Cantor and the challenge of the infinite


D: Chapter 11 (p 245-266)
B&G: Sketch 25 (p 237-242)

Draft Paper 3
:Due on April15
Week 14
April 20-24

  * Cantor and the transfinite

Mandatory Peer Review:Wed April 22



D: Chapter 12 (p 267-283)


Peer Review:Wed April 22
Week 15
April 27-May 1
Presentations!!!
* A brief look backward and forward
* Catch-up and wrap-up

Journal of Mathematics and the Arts:
* Poetry Inspired by Mathematics: A brief journey through history

Presentations of papers!!!

Final Exam Week
FINAL PAPER DUE:  Monday May 4 Time:10:00-13:00 in my office MSB 127
Final version: Paper 3 May 4
FINAL PAPER DUE: MSB127
News Headline

Use this area to enter an announcement or some news from your area.

Instructor Schedule:

Gageonea, Maria

  MWF:

Section 02
MSB 407     Time: 11:15-12:05
Section 03
ROWE 318  Time: 1:25-2:15



Instructor Contact:

Gageonea, Maria
Office: MSB M127 (Storrs)    Phone: (860)486-6452
Office Hours:                       MWF 12-13   (or by Appt.)
Email: maria.gageonea@uconn.edu


Maria Gageonea
Department of Mathematics
196 Auditorium Road
Storrs, CT, 06269-3009
maria.gageonea@uconn.edu
(860)486-3923