sarah.glaz@uconn.edux
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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
Group-Work Assignments
Individual or group-work assignments, aimed at practicing mathematical concepts and writing techniques, will be given every week. Some of the assignments will be worked at during class-time; others will be given as homework. In all cases, assignments done in class (usually group-works) are due the same day, and assignments given as homework (usually individual) are due on the Tuesday 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 completed and collected during 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 for which proof is provided.
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 12 Final Version and Final Version Cover Letter due: Tuesday, September 26 |
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 10 Final Version and Final Version Cover Letter due: Tuesday, October 24 |
Paper 2 Guidelines Draft Cover Letter Template (Word file) Final Version Cover Letter Template (Word file) |
Paper 3 Draft and Draft Cover Letter due: Tuesday, November 14 Peer Review Forms due: Tuesday, November 28 Final Version and Final Version Cover Letter due: Tuesday, December 5 |
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. Individual
homework assignments and in- class group-work will be given
every week. 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 + Papers due dates |
Topic |
Reading for each week's
topic To be read before the Tuesday class of that week |
Homework and Classwork Homework is due on the Tuesday after they were assigned, classwork is collected the day they are done in class |
Week 1:
Aug 29 |
*
Overviews
of the history of mathematics |
* Important
historical names, dates, and events * Mathematical Periods MTM: An overview of the history of mathematics B&G: Sketch 1(p 67-72); Sketch 3 (p 81-84) |
Individual Assignment: * Math Autobiography (Guidelines) * How to recognize plagiarism: Tutorial and test (complete test and hand in the signed, completed certificate) Group-work 1: Ancient Numerals |
Week 2:
Sep 5 |
* Babylonian mathematics * Egyptian mathematics |
MTM: An overview of Babylonian mathematics An overview of Egyptian mathematics The new Plimpton 322 controversy (Read for fun!) * Mystery of the Babylonian Clay Tablet, Plimpton 322 * Don't Fall for Babylonian Trigonometry Hype |
Individual Assignment: Paper 1 draft and draft cover letter (see guidelines in Papers section) Group-work 2: Eliminating Wordiness (use Conciseness and Active versus passive voice) |
Week 3:
Sep 12 Paper 1 draft: Due Tue, Sept 12 |
* Early Greek mathematics * Euclid's Elements: Geometry |
D: Chapter 1
(p 1-11) D: Chapter 2 (p 27- 53, may skip the proof of book I:15, 16, 26, 27, 32, 41) |
Group-work 3: Pythagoras Theorem |
Week 4:
Sep 19 |
* 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) Non-Euclidean art: Daina Taimina crocheted hyperbolic planes Dick Termes painted termespheres |
Individual Assignment: Paper 1 final version and final version cover letter (see guidelines in Papers section) Group-work 4: Comma Usage (use Rules for using commas) |
Week 5:
Sep 26 Paper 1 final version: Due Tue, Sept 26 |
* 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) |
Group-Work 5: Late Greek Mathematics |
Week 6:
Oct 3 |
* The history
of π * Arabic mathematics |
* The
Mountains of Pi by Richard Preston (Not required. Read for fun!) B&G: Sketch 7 (p 109-112) MTM: An overview of Arabic mathematics |
Individual Assignment: Paper 2 draft and draft cover letter (see guidelines in Papers section) Group-Work 6: Organization and Focus (use: Structure of a general expository essay) |
Week 7: Oct 10 Paper 2 draft: Due Tue, Oct 10 |
* The cossic art * Europe's awakening: Fibonacci |
* 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 7: TBA |
Week 8:
Oct 17 |
* 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 8: Cubic Equations |
Week 9:
Oct 24 Paper 2 final version: Due: Tue, Oct 24 |
* 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 9: Common Mistakes |
Week 10:
Oct 31 |
* Calculus: Newton, Leibniz, and the Bernoullis |
D: Chapter 8
(p 184-206) B&G: Sketch 30 (p279-284) |
Individual Assignment: Paper 3 draft and draft cover letter (see guidelines in Papers section) Group-Work 10: Some Series of Newton and Leibniz |
Week 11:
Nov 7 |
* Euler and
his legacy |
D: Chapter 9 (p 207-222) Chapter 10 (p223-235,You may skip the proofs) |
Group-Work 11: Euler's 7 Bridges of
Konigsberg |
Week 12:
Nov 14 Paper 3 draft: Due Tue, Nov 14 |
* 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 Peer Review Forms (see guidelines and the list of peer review groups in Papers section) Group-Work 12: Gauss' Congruent Integers |
Thanksgiving Recess Nov 20 - 24 |
Enjoy and have
fun! |
||
Week 13:
Nov 28 Peer Review Forms: Due Tue, Nov 28 |
* The foundations of
mathematics: Cantor, Hilbert, Russell, Goedel * Mandatory Attendance: Peer-Review Workshop for Paper 3 (Counts as a Group-Work) |
* Hilbert's
Problems * Goedel and the limits of logic D: Chapter 12 (p 267-283) B&G: Sketch 25 (p 239-244) B&G: Sketch 29 (p271-276) |
Individual Assignment: Paper 3 final version and final version cover letter (see guidelines in Papers section) Group-Work 13: Peer-Review Workshop for Paper 3 |
Week 14: Dec 5 Paper 3 final version: Due Tue, Dec 5 |
* 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) |
Group-Work 14: Map Coloring |
Final Exams Dec 11 - 17 |
Good Luck with all
your finals! |
No final Exam in this course. |
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 2017