Math 495, Independent Study/Capstone Seminar:

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

**Class meetings:** W 8-8:50am in PM 221

**Instructors:** various mathematics department faculty, including

- Janet Barnett (PM 222, 549-2540,
`janet.barnett@csupueblo.edu`) - Darren Funk-Neubauer (PM 202, 549-2693,
`darren.funkneubauer@csupueblo.edu`) - Bruce Lundberg (PM 224, 549-2482,
`bruce.lundberg@csupueblo.edu`) -
Jonathan Poritz (PM 248, 549-2044,
`jonathan.poritz@gmail.com`) [instructor of record so has superpowers to handle course-related bureaucracy] - Frank Zizza, (PM 216B, 549-2444,
`frank.zizza@csupueblo.edu`)

**Prerequisite:** Upper division standing and declared mathematics
major or minor, plus successful completion of three approved upper division
mathematics courses or successful completion of two approved upper division
mathematics courses and co-requisite of one additional upper division
mathematics course. (Non-approved courses include Math 360, Math 361 and Math
362.) Or approval of (an) instructor.

**Description:** This one-credit seminar is intended for junior and
senior mathematics majors and minors. Its major objectives are:

- Experience in independent reading in and learning of 'new' mathematics
- Learning some tools of mathematical exposition, including
**LaTeX** - Practicing written and oral exposition of mathematics

You may be wondering: "What is this **LaTeX**"?
`\int_{-\infty}^{\infty} e^{-x^2}dx = \sqrt{\pi}`
in
**LaTeX** produces the output
$$\int_{-\infty}^{\infty} e^{-x^2}\,dx=\sqrt{\pi}\quad.$$
So: a little cumbersome, not at all WYSIWYG [="What You See Is What You Get"],
but powerful!

One answer is that it is to today's global scientific communication what
Latin was the European intellectual community from the Middle Ages until at
least the 18^{th} century: understood and accepted by everyone, hard
to get along without, the default tool for publication of [nearly] all new
results....

Another answer is that it is a program which enables users to create documents
with very sophisticated typesetting — particularly of mathematical
formulæ and diagrams, but also including automatically generated
references, indices, tables of contents, *etc.* — very simply (well,
after you learn the basics ... as we will in this class!). For example,
the code

**Required assignments** will include:

- Attendance at all seminar sessions and assigned special lectures
(
*e.g.*, Math/Physics Club Talks) - 3-5 "small presentations" (in the seminar — so, among friends) such as solutions of assigned "homework" problems
- A final project

**Final Projects:** will consist of a 15-20 minute presentation on an
approved topic and a 3-5 page write-up of that presentation
(using **LaTeX**). Project topics might be an interesting topic or
technique from another upper division mathematics (or science) class, a
topic you find in an expository mathematics journal, a topic from the
history of mathematics, an interesting connection between art and
mathematics, *etc.*

Participation will be a large part of the class, so that attendance will be mandatory!

**Grades** to be determined by quality of participation in the course,
based on attendance, quality of presentations and other assignments, and
quality of the final project.

**Academic integrity:** Mathematics is more effectively and easily
learned — and more fun — when you work in groups.
However, all work you turn in must be your own, and any form of cheating
is grounds for an immediate **F** in the course for all involved parties.
All violations of academic integrity will be reported to the Vice President of
Student Services and Enrollment Management and may also be reported to advisors
and/or program chairs (*e.g.,* the Associate Dean of Education) of the
parties involved. For further information about what constitutes academic
dishonesty, please read the University Statement on Academic Dishonesty which
appears on pp. 46-47 of the 2014-2015 University Catalog. If you
are not sure whether a particular action constitutes "cheating" in this
particular course, please ask!

**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 of education
"solely by reason of a handicap." If you have a documented disability that
may impact your work in this class for which you may require accommodations,
please see the Disability Resource Coordinator as soon as possible to arrange
accommodations. In order to receive accommodations, you must be registered
with and provide documentation of your disability to: the Disability Resource
Office, which is located in the Library and Academic Resources Center, Suite
169.

Jonathan Poritz (jonathan.poritz@gmail.com) |
Page last modified: Tuesday, 09-Sep-2014 01:51:24 UTC |