Mathematics Department

**Office:** NSM A125

**Office hours:** None during spring 2018

**Phone:** (310)243-3592

**Email:** gjennings@csudh.edu

**Website:** http://math.csudh.edu/~gjennings/

Updated Wed Jan 31 09:07:59 PST 2018

Conic Sections and Dandelin's Conics notes from a talk given in Serban's TOES teaching seminar, Friday, Apr. 20, 2018.

I'm not teaching during spring 2018. I'll return in the fall.

- Desmos (https://www.desmos.com/) basic, simple, fast, easy-to-use web-based graphing calculator. Enables users to share calculations and graphs with each other. Desmos is intendeded for basic calculations, for more advanced math and programming try CoCalc.
- CoCalc (https://cocalc.com/), formerly called
**Sage Math Cloud**. Free, or pay if you choose to. Enables users to perform advanced math calculations and write programs directly on the web without installing anything. Provides**Sage**, a free computer algebra system for calculus, differential equations, linear algebra, number theory, abstract algebra, ... with 2D and 3D graphics. Also provides**R**for statistics,**Octave**(a command line program similar to MATLAB),**Python**a powerful and popular object-oriented computer language,**Scientific Python**a set of Python packages for scientific computeing,**Julia**a modern programming language for fast numerical computing,**Jupyter notebooks**,**LaTex**typesetting, a**Gnu-Linux**(unix) terminal, and more. - GeoGebra (https://www.geogebra.org/). Free, downloadable, dynamic geometry software package that is very useful for graphing. Download or use directly on the web. Share constructions with others.
- Octave Free software similar to MATLAB. Runs on Windows, Macintosh, GNU/Linux. Has optional graphical user interface.

CSU Dominguez Hills has a site-license that enables CSU Dominguez Hills faculty and students to download and use **Mathematica** software for free.

*Mathematica*. A comprehensive, professional system for doing mathematics on a computer with excellent documentation, graphics, more. Similar to*CoCalc*, but*Mathematica*is unified by its own language and its documentation is easier to navigate. Students and faculty have unlimited access to*Mathematica*on campus computers, and may may obtain free copies to use at home by following these instructions.- Wolfram Alpha, a
free website for solving math problems and accessing scientific
information hosted by the company that sells
*Mathematica*. CSU Dominguez Hills students and faculty may obtain access to the more powerful**Wolfram Alpha Pro**through the university's site license, following these instructions. - MATLAB Powerful,
comprehensive, professional system for doing mathematics on a
computer, with an emphasis on matrices. Excellent graphics. Widely used in industry, especially in engineering.
**MATLAB**is Prof. Stanoyevitch's favorite. CSU Dominguez Hills has a limited site license that enables students and faculty to use*MATLAB*for free in our computer labs, but students must pay to install*MATLAB*on their home computers or laptops. Students get a big discount on the price, so it costs less than many textbooks.

- Math Classifieds MAA math careers website
- Career info for Math Majors AMS site with info about grad school, summer internships, jobs, etc.

- LSAMP Workshop schedule http://www4.csudh.edu/biology/
- Workshop director: Dr. Helen Chun, Asst. Prof. of Biology. NSM A-138. (301)243-3397.
- AMP Office: NSM A143. (310)243-3381.

The Louis Stokes Alliance for Minority Participation (LSAMP) program offers free workshops to supplement selected science and math classes at CSUDH. The workshops are voluntary and are open to ALL science and math students. The program pays for the workshops and pays stipends to students who attend the workshops if they meet certain other conditions.

Workshops generally meet 4 hours per week and are led by a advanced student facilitators. Students work cooperatively in the workshops on challenging material that enhances their performance in class. Experience shows that students who regularly attend workshops score from one- half to one full grade point higher in class than their peers who do not attend workshops. The friendships and contacts with other workshop students that workshop participants develop through their participation help them excel throughout their college years.

- http://mathispower4u.yolasite.com/ Video tutorials, organized by course and topic. Algebra, geometry, trig, calculus I,II,III, linear algebra, differential equations ...
- http://www.onlinecourses.com/Math/

- "Street-fighting mathematics" by Sanjoy Mahajan, MIT. Great stuff.
- Bill Casselman's home page Mathematical graphics and lots of other things.
- http://xahlee.org/ Art site with many beautiful mathematical illustrations.
- JSXGraph a JavaScript library for creating web pages with interactive geometry, function plotting, etc. Similar to embedding GeoGebra in a web page, but faster.
- http://curvebank.calstatela.edu/home/home.htm National Curve Bank at Cal State LA.
- http://www.maa.org/ Mathematical Association of America.
- http://www.ams.org/ American Mathematical Society.

- How to Succeed and How to Fail in Mathematics
- Modern Geometry with Applications: Corrections Errata and corrections for my geometry book.

I was trained in differential geometry, a field that combines geometry with calculus to study shapes in multidimensional spaces, and algebraic geometry, a field that uses abstract algebra to study shapes in multidimensional spaces. Lately my interests are turning toward applied mathematics, a very broad area which focuses on using mathematics to solve "real-world" problems using any mathematical tools that shed light on the problem.

I have taught mathematics at Cal State University Dominguez Hills since fall 1987.

- "Does the Jordan Form of a Matrix have the Maximum Number of Zeros?" (with F. Brulois and S. Raianu), Bull. Math.Soc. Sc. Math. Roumanie Tome 48(96) No. 4, 2005.
- "Projections, geometric", "Similarity", and "Relativity". Articles in the Encyclopedia of Mathematics Education, edited by L. Grinstein and S. Lipsey. RoutledgeFalmer, NY, 2001.
- Modern Geometry with Applications. Springer-Verlag, New York, 1994. Errata and corrections.
- (with Judy Arms and Mark Gotay) "Geometric and algebraic reduction for singular momentum maps". Advances in Mathematics, Vol. 79, No. 1 (1990), pp. 43-103.
- "Tangential Chow forms - hypersurfaces of rank one in a Grassmannian". Geometriae Dedicata 28 (1988), pp. 1-6.
- "Lines having contact four with a projective hypersurface". Pacific Journal of Mathematics, Vol. 129, no. 2 (1987), pp. 321-335.
- "Lines having high contact with a projective variety". Pacific Journal of Mathematics, Vol 125, no. 1 (1986), pp. 103-115.
- Algebro-geometric invariants arising from the local differential geometry of projective varieties. Thesis, UCLA. 1984.

Ph.D. in Mathematics, 1984, University of California, Los
Angeles

Thesis Title "Algebro- Geometric Invariants Arising from the
Local Differential Geometry of Projective Varieties."

Thesis advisor: Professor Mark Green

B.A. in Mathematics, 1975, University of California, Berkeley

My mathematical interests include algebraic and differential geometry, applied mathematics, and physics. My hobbies include, hiking, gardening, fixing old cars, electronics, and reading. Also I'm trying to learn how to play the piano.

I am married to Dr. Linda Cohen Jennings, professor of economics at UC Irvine. We have two fine sons, Andy and Rob.

Questions? Send email to gjennings@csudh.edu