
Allan Donsig
Professor & Vice Chair
Department of Mathematics
University of NebraskaLincoln
Office: Avery 205
Office Phone: 4024728128
Dept. Phone: 4024723731
Dept. Fax: 4024728466
Email: adonsig at unl dot edu
(Forgive the nonmachine readable address)
Office Hours (on Zoom): 10:0011:00 Monday, 3:004:00 Wednesday, noon1:00 Thursday, or by appointment
To make an appointment outside office hours, please send an email.

All records for my courses are kept on Canvas
If you have questions about a class, please send an email.
 Fall 2020
 Math 106870 Calculus I
 Spring 2020
 Math 415 Theory of Linear Transformations
 Fall 2019
 Math 106650 Calculus I
 Spring 2019
 Math 310 Introduction to Modern Algebra
 Spring 2018
 Math 314H Linear Algebra (Honors Course)
 Math 107 Calculus II
 Fall 2017
 on sabbatical
 Fall 2016
 Math 425 Mathematical Analysis
 Spring 2016
 Math 415 Theory of Linear Transformations
 Fall 2015
 Math 106650 Calculus I
 Fall 2014
 Math 923 Topics in Analysis: Operator Algebras
 Spring 2014
 Math 101 College Algebra
 Spring 2013
 Math 104 Business Calculus
 Fall 2012
 Math 811T Functions for High School Teachers
 Spring 2012
 Math 818 Introduction to Modern Algebra II
 Fall 2011
 Math 817 Introduction to Modern Algebra I
 Spring 2011
 Math 433 Nonlinear Optimization
 Fall 2010
 Math 221H Honors: Differential Equations
 Math 221005 Differential Equations
 Spring 2010
 Math 106150 Analytic Geometry and Calculus I
Useful webpages for Mathematics Students
Practice isn't the thing you do once you're good. It's the thing you do
that makes you good.Malcolm Gladwell
 Randy Pausch's Time Management Lecture This is not about math per se, but it will help you find the time to do what you need to do.

The Most Common Errors In Undergraduate Mathematics

Excerpts from How to Ace Calculus : The Streetwise Guide
 How to Study Math Guide
from the Ohio State University's Math Dept.
 How to Succeed in Math
from Saint Louis University.
 How to succeed in University
Calculus. This page is for students going to universities in atlantic Canada, but the
advice is universal.
 Calculus.org A general resource page for calculus.

HOW DO UNDERGRADUATES DO MATHEMATICS? A guide to studying mathematics at Oxford University
Although this study guide is focused on Oxford, much of its advice is relevant (indeed,
crucial) to anyone learning mathematics.

A Guide to Writing in Mathematics Classes
 If you ever find yourself preparing an abstract or a summary of your own research,
you should read How to
get your abstract rejected. Heck, read it anyway, it's quite funny and you've probably
seen all of the sins it outlines committed in the course texts you've had to read.
My research interests are in operator algebra and operator theory.
In particular, most of my papers are about limit algebras, infinitedimensional
operator algebras that are limits of finitedimensional algebras.
In spite of being "almost finitedimensional", they have some quite suprising
properties.
I've put more information, including abstracts of my papers, on a separate
page.
Together with Kenneth R. Davidson
of the University of Waterloo, I have written an introductory analysis textbook,
called Real Analysis and Applications.
The publisher, SpringerVerlag New York, has a
webpage for the book.
(This is an updated version of Real Analysis with Real Applications,
published by PrenticeHall in 2001.)
I've posted
the table of contents and the preface for the book.
There is also a table of errata.
Feel free to email us with comments on the book.
On a related note, I have a short
list of articles and books
that I've found useful in teaching analysis.
These are typesetting programs that are defacto standards for
mathematics and physics papers.
The hardest part of getting started with them is finding
good model documents to modify.
In the absence of better models, I offer a few documents of
my own, listed
here.
There are a multitude of good sites on TeX.
I would particularly recommend the
Comprehensive TeX Archive Network
and the American Mathematical Society's page on
TeX Resources.
There are two books I would particularly recommend:
 LaTeX: A Document Preparation System by Leslie Lamport,
Second Edition, AddisonWesley, ISBN: 0201529831.
 A Guide to LaTeX 2e by Helmut Kopka and Patrick W. Daly,
Second Edition, AddisonWesley, ISBN: 020142777X.
The first is the original user's manual by the author of LaTeX.
But what matters most to me, personally, is being able to communicate
to others my sense of what mathematical research is all aboutthe
quest for truth and the inner joy that comes from surrendering oneself
to it.
1
Alain Connes, Fields Medalist in Operator Algebras