## Return to Ravenel's home page .

Current and future courses:

Midnight breakfast study session in 1996.

The student standing behind me

is now a hotshot theoretical physicist.

Previous courses

Office hours in Hylan 819:

- TBA
- Phone: 54415

Fax: (716) 273-4655

E-mail:

Pages and links for undergraduate math topics:

- Archimedes Biography Page

- Archimedes Palimpsest Page The 1997 discovery of a long lost mathematical manuscript that reveals Archimedes' use of calculcus.

- Biographies of mathematicians

Life stories of hundreds of mathematicians across the centuries.

Click on "Full Mac Tutor biography" after finding the person you want.

- Fermat's Last Theorem A centuries old problem that was finally solved in 1995.

- The Gabriel's horn paradox Gabriel's Horn (also called Torricelli's trumpet) is a figure invented by Evangelista Torricelli which has infinite surface area, but finite volume. This is explained in Math 162.

- Galois page The tragic story of the mathematician whose visionary work is the subject of a course (Math 237) taught in every major university and who was killed in a duel at the age of 20.

- Gauss page His mathematical abilities and exploits caused his contemporaries to dub him princeps, and biographers customarily place him on a par with Archimedes and Newton.

- Sophie Germain The 18th-century woman who assumed a man's identity in order to pursue her passion for mathematics.

- Benoit Mandelbrot The father of fractal geometry.

- The Great Internet Mersenne Prime Search How you can use your computer to discover the largest known prime number.

- Mathematical Aphrodisiac You have to try this.

- Origami constructions Learn how to trisect an angle by folding paper, something that cannot be done with ruler and compass.

- Quintic equations page It is known that there is no formula for the general solution to a polynomial equation of degree 5 or higher. This is a consequence of the famous theorem of Galois, which is taught in Math 237.

- Ramanujan page Read about the self trained Indian mathematical genius who dazzled Cambridge mathematicians in 1913.

- Research Experience for Undergraduates A big list of summer programs maintained by the American Mathematical Society.

- Ruler and Compass Classical Greek geometry.

- Alan Turing page The father of computer science and war hero who was prosecuted for being gay.

- Wallpaper groups This topic is extensively documented on the web perhaps because of its great visual appeal.

- Why are there so many primes numbers? Slides for a talk given to SUMS on October 15, 2008. Alternate version with white background.

- Zeno's Paradox Page Calculus provides the solution to a 2000 year old riddle.

Previous courses:

## Math 549 and 550 Special topics in algebraic topology

- Spring 2016, Equivariant stable homotopy theory and the Kervaire invariant
- Spring 2015, Foundations of Stable Homotopy Theory
- Fall 2012, Equivariant Stable Homotopy Theory
- Spring 2010, A Solution to the Arf-Kervaire Invariant Problem
- Spring 2007, Algebraic Curves in Stable Homotopy Theory
- Fall 2003, Elliptic Cohomology
- Fall 2001, Model categories
## Math 443 Algebraic topology

Fall 2016 Fall 2015 Fall 2014 Spring 2014 Spring 2013 Spring 2012 Spring 2011 Spring 2008 Spring 2006 Spring 2005 Spring 2004 Spring 2003 Spring 2002 ## Math 236H Introduction to Algebra I Honors version

Spring 2017 Spring 2012 Spring 2010

Spring 2008 Spring 2006## Math 237 Introduction to Algebra II

Fall 2013 Fall 2012 Fall 2010 Fall 2008 Fall 2006 ## Math 215 Fractals and computer graphics Spring 1998

## Math 165 Linear algebra with differential equations

Fall 2004 Spring 1999 ## Math 162 Calculus IIA

Fall 2016 Fall 2015 Fall 2014 Fall 2013 Fall 2011 Fall 2010 Fall 2009 Fall 2007 Spring 2007 ## Math 142 Calculus II Spring 2001

## Math 141 Calculus I Fall 2000