This page is now out of date: See my page at the University of Wisconsin-Madison for more up to date information. I've removed most info that was here so that it won't go out of date.

Jiří's UCSD Page

Jiří Lebl
Teaching Visitor (2010-2011)
Department of Mathematics,
University of California, San Diego
9500 Gilman Drive # 0112,
La Jolla, CA 92093-0112 USA

Teaching

Past:
Math 20B Spring 2011, Math 140B Spring 2011, UCSD Math 10C Winter 2011, UCSD Math 140A Winter 2011, UCSD Math 20C Fall 2010, UCSD Math 20D Fall 2010, UIUC Math 285 Spring 2010, UIUC Math 595 Spring 2010, UIUC Math 444 Fall 2009, UIUC Math 225 Spring 2009, UIUC Math 286 Spring 2009, UIUC Math 286 Fall 2008, UIUC Math 124 Spring 2008, UIUC Math 380 Fall 2007.

Here are some wxMaxima scripts I used in math 10c and 20c (multivariable calculus) at UCSD.

Textbooks/Notes

	Notes on Diffy Qs: Differential Equations for Engineers. A set of notes/textbook for Math 286 at UIUC. Covers first and second order ODE, systems of linear ODEs, Fourier series methods and PDEs, boundary and eigenvalue problems, and Laplace transform (Laplace transform is not covered in Math 286). These notes can be used as a stand alone textbook. 291 pages, available as a PDF download (free) or get it as cheap paperback. It is also browsable as webpages.
	Basic Analysis: Introduction to Real Analysis. A set of notes/textbook for Math 444 at UIUC. Covers the real number system, sequences and series, continuous functions, the derivative, the Riemann integral, and sequences of functions (including a proof of Picard's existence and uniqueness theorem as an application). These notes can be used as a stand alone textbook. 161 pages, avaiable as a PDF download, or get it as cheap paperback.
	Hermitian Forms Meet Several Complex Variables: Minicourse on CR Geometry Using Hermitian Forms. A set of notes for a half-semester graduate mini-course on Hermitian forms and CR geometry given at UIUC in the spring of 2010. Should serve as a quick introduction to the subject of CR geometry from a somewhat different viewpoint than is usual. 62 pages, avaiable as a PDF download.

Mathematics Computer Software

Genius - A free software (GPL) mathematics package for Unix/Linux (also works on MacOS X). See the website for more information and the latest release. Some sort of release is usually included in most linux software repositories (e.g. universe in Ubuntu). I have been working on this since about '97 and it is quite capable nowdays.

UCSD real analysis qual prep problem sets

I suppose the following may still be useful for UCSD grad students. These were used for the real analysis qualification exam preparation sessions in spring of 2007.
Qual preparation sessions problem sets: first, second, third, fourth, fifth, sixth, seventh.