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Professor V.S. PrasadOH428Q Department of Mathematical SciencesCollege of Science, U Mass Lowell
Vita (Nov 2010) (pdf) and Talks Email Address
In order to order this book you can visit amazon.com. At 655 words per dollar, it's a bargain at twice the price! For the Table of Contents (or to order from CUP) click Cambridge University Press, |
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Publication List as of 2006 (from MathSciNet):
Math Reviews of my papers (downloaded from MathSciNet).
See my book: with S. Alpern (London School of Economics)
Typical Dynamics of Volume Preserving Homeomorphisms
published by Cambridge University Press, Tracts in Mathematics series Volume 139. Klaus Schmidt has reviewed this book for Monatshefte fur Mathematik. Click here for the review
CURRENT COURSES:
All students, regardless of which courses they take should print out the following collection of common math errors. One stop solutions to all your calculus questions at calc.org (http://www.calculus.org). Here is link to a collection of all purpose math links provided by the McGraw Hill Publishers - enjoy. Some of my students like this SOS site for algebra help.
Here is a nice supplement, written by Marty Guterman (Tufts), on sign diagrams (for determining where functions are positive or negative). Find your favorite numbers here. For some experiments with Fibonacci numbers and pi
For some really cool math visit the geometry junkyard. Are you up to the challenge presented by these puzzles? Visit the MAA's Math Digital Library.
Math regularly appears in The Simpsons at simpsonsmath.com (their writers took plenty of math). Get your Ban Dihydrogen Monoxide T-shirts and learn why we should support this cause (for another point of view visit the Hydrogen Hydroxide site). I enjoy Clifford Pickover's ESP experiment. For sheer joy and fun in math, music, and art become a fan of Vi Hart and her blog - I especially adore her doodles, but it's all fun.
The Department Fax number is 978-934-3053. If you cannot get through try the DEAN'S fax number 978-934-3003.
Summer 2011
Here is the Calc III homepage.
Here is the Engineering Differential Equations (92.236) homepage
PAST COURSES:
Spring 2011
Calculus C 92.225 students - this is your homepage.
Here is the Engineering Differential Equations (92.236) homepage
Fall 2010
Here is the link to the graduate Real Analysis 92.501 course.
Here is the link to the Mathematical Analysis 92.503 (teacher option) course.
Calc D (92.226) students - this is your homepage.
Summer I (2010)
Here is the Calc III homepage.
Here is the Engineering Differential Equations (92.236) homepage.
Spring 2010
92.570 Probability and Statistics (Teacher Option) (meets in OH522 from 2/2)
92.126 Calculus B
Summer I (2009)
Here is the Calc III homepage.
Here is the Engineering Differential Equations (92.236) homepage.
Spring 09:
Differential Equations 92.236
Calculus C 92.225
Fall 08:
Differential Equations 92.236 and 92.234
Real Analysis (note this is new syllabus and text - different from previous years) 92.305
MathLab Info (LaTeX, Tablets, and Mathematica)
Great stuff about Tablet PC's in education, as well as links to other tablet sites can be found at http://www.studenttabletpc.com/
Need to write a paper. What should you put in, and how should it be organized? Here are some suggestions from Simon Peyton Jones of Microsoft Research. A good collection of advice on writing and research can be found at this link. More good advice on presentations and writing a thesis can be found in this article from SIAM on Communicating Applied Math.
The technical mechanics of putting mathematics to paper in a beautiful way using LaTeX follows:
First a short guide to LaTeX
and a not so short guide
and LaTeX's real strength in processing mathematics (a short guide using AMS symbols)
ftp://ftp.ams.org/pub/tex/doc/amsmath/short-math-guide.pdf
A short article
Winston Chang has made the following very useful 2 page cheat sheet for LaTeX:
Finally, here is a guide to inserting fancy diagrams in LaTeX using the xy-pic package
Here are the files for Frank Langenbrenner's notes on LaTeX
And here is our sample tex file I've been working on over the term
Let's use Beamer documentclass to give a short talk about the Bridges of Konigsberg. First download
Template for a short 15-40 min talk with a couple of graphics. Here is the BeamerUserGuide (a pdf file). Here are Euclid's beamer presentations, Euclid 1, Euclid 2 and Euclid 3.
Here is short guide to using MathSciNet. The guide was written in 2000, and very recently the user interface to MathSci changed, so although the pictures in the guidebook may look different from what you'll see now, the essentials and the functions in using MathSci are all still the same. Here's a short one page intro to MathSci Net that is all you will need.
Here is a Zipped File for all of the MapleEssentials that you'll need to get going. I also recommend the link from MAPLE where you can find tons of especially designed worksheets for almost anything you'd like to use Maple to do for at
Here is the Maple worksheet which I've been going through in class for you: FirstMaplesheet.mws.
Spring 08:
Differential Equations Homepage 92.236.201, 203
Andover High students, here is your Calc III homepage.
Real Analysis Homepage and Lecture Notes.
Summer I, 07:
Engineering Differential Equations homepage.
Spring 07:
Business Calc students, the link to the 92.122 (MWF OH 204, 11: 30 section) course home page, schedule etc will be posted here by the weekend. Here are some practice tests (including last year's final) Test 1, Test 2, Test 3, Final
Calc II students, the course home page has all of the homework problems listed. For our section some notes on how we are grading 92.132.204. Here is Test 1
Andover High students, the Differential Equations homepage is here.
Fall 06:
Differential Equations Homepage
Real Analysis Homepage and Lecture Notes.
Calc III homepage.
Spring 2006:
Calculus II Section 204: for the students in my section here is our own section specific homepage. Be sure to visit the course home page at Calc II.
Click on Differential Equations for the DE homepage.
Andover High School students: Here is your home page for Calc III
Fall 2005:
Click on Differential Equations for the DE homepage.
92.305 Real Analysis Meets MWF 10:30-11:20 in OH 521.
The Calc III home page
For those taking Chaos theory follow the link.
Fall 2004: 92.305 Real Analysis Meets MWF 10:30-11:20 in OH 521.
Calc II takes you to the Calc II homepages - for our own section requirements click section 204 and 205 grading procedures . Calc II students please note that I have changed the schedule for our second exam to Nov 5 (Fri).
Fall 2003:
92.231 Calculus III
92.236 Differential Equations
Spring '03:
92.132 Calculus II This will link you to Professor Levasseur's Calc II web page - or you should click on Problems for study to get the assignments for the course, and the Schedule for when the material will be covered and dates for exams. Homework is due the second class after the material has been covered in class. Our class meets MWRF 1:30-2:20 in OS401. Test 3 solutions here
92.305 Real Analysis Meets MWF 10:30-11:20 in OS 406. If you would like to see the solutions to the final exam click here. Real Analysis students: you may pick up your homework, projects and class notes folders in the box just outside of my office (they are in a box under the table next to the office).
Research Interests:
Ergodic Theory, Dynamical Systems, Manifolds and Measure Preserving Homeomorphisms.
Probability Theory and Stochastic Processes.
Information Theory.
Other Things
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Select your math fortune for the day with this link from http://www.dynamical-systems.org.
