Colorado State University, Pueblo
Math 330 — Introduction to Higher Geometry
Spring 2008

Here is a shortcut to the course schedule/homework page.

Lectures: MWF in Phys/Math 116, 12-12:50pm      Office Hours: M-F 9-9:50am or by appointment

Instructor: Jonathan Poritz     Office: PM 248     E-mail:
Phone: 549-2044 (office — any time); 337-1210 (cell) and 473-8928 (home) (both for emergencies only, please)

Text: Geometry with Geometry Explorer, by Michael Hvidsten.

Content/objectives: We will cover (most of) Chapters 1—8 of the textbook, along with supplemental topics including perhaps some elementary topology and differential geometry (from class lectures and supplemental readings to be provided during the term), depending upon time and interest. Students should, by the end of the course, be comfortable using definitions and axioms to build mathematical systems and proving theorems within these systems. We will examine some questions and issues in geometry from several different perspectives and using different approaches and different kinds of abstraction based on, e.g., analysis (calculus) and algebra. Students should also become familiar with many kinds of geometric transformations and constructions and have some experience with one or more software tools which allow hands-on, interactive exploration of these techniques.

The Textbook: is not too bad, but I will sometimes supplement it with handouts. Please note that I will assume in class that students will actually read the text sections (or handouts) I assign on the HW/schedule web page, usually before we cover them in class, but certainly the same week.

Homework: will generally be due each Monday. You will probably enjoy it more, and learn more from it, if you work with your classmates, so I encourage you to do so. However, you must each turn in your own write-up of the solutions, and I will sometimes ask students to present HW solutions in class.

Exams and a project: We will have two take-home midterm exams, on dates to be announced (which announcements will be at least a week or two before the corresponding test). Instead of a final exam, there will be a project due in the last weeks of class, culminating in a paper and short presentation. The project presentations will take place during our scheduled final exam time Thursday, May 1st, 2008, from 10:30am-12:50pm, in our usual classroom.

Grades: I will drop your lowest homework score. After that, the various parts of the course will be weighted as follows:
                                        Homework: 20%
2 Midterms: 20% (each)
Final Project: 40%

Office hours: Feel free to come to my office to talk about anything during my above-specified office hours. In fact, most any time you can find me in my office I am happy to talk to you, unless I am on my way to a meeting or to another class -- the point of the official office hours is that in those times I will always be sure to be there and to be available to you. Note please, however, that I sometimes have to change the official hours partway into the term, if it becomes apparent that many more students would be able to come at a different time; the version on my office door and website will always be current, though.

Academic integrity: Aside from the collaborative homework efforts I mentioned above, everything you submit to me must be entirely your own, or else you must give complete and accurate attribution to the true source. Deviation from this will result in all involved parties being given a final grade of F. Similarly, late or missed homeworks, exams, or projects will receive a zero, unless either a major emergency occurs at the last moment or we have discussed the situation in advance and I have accepted your reasons. Please also always provide me with some paper documentation to support your needs for special treatment.

A request about e-mail: E-mail is a great way to keep in touch with me, but as a consequence I get a lot of e-mail. So to help me stay organized, please put your full name and mention the course name or number somewhere in all of your messages to me.

Students with disabilities: The University abides by the Americans with Disabilities Act and Section 504 of the Rehabilitation Act of 1973, which stipulate that no student shall be denied the benefits "solely by reason of a handicap." If you have a documented disability that may impact your performance in this class for which you may require accomodations, please see me as soon as possible to arrange these accomodations. In order to receive this assistance, you must be registered with, and provide documentation of your disability to, the Disability Services Office, which is located in the Pschology Building, Room 232.

Euclid alone has looked on Beauty bare
Edna St. Vincent Millay

Euclid alone has looked on Beauty bare.
Let all who prate of Beauty hold their peace,
And lay them prone upon the earth and cease
To ponder on themselves, the while they stare
At nothing, intricately drawn nowhere
In shapes of shifting lineage; let geese
Gabble and hiss, but heroes seek release
From dusty bondage into luminous air.
O blinding hour, O holy, terrible day,
When first the shaft into his vision shone
Of light anatomized! Euclid alone
Has looked on Beauty bare. Fortunate they
Who, though once only and then but far away,
Have heard her massive sandal set on stone.

[Sonnet XXII from The Harp-Weaver and Other Poems (1923)]