# Math 1

Catenary
A hanging chain with short links forms a catenary. Freely-hanging transmission lines also form catenaries. The silk on a spider's web forming multiple elastic catenaries.

Undergraduate Mathematics Majors
Graduate School · Summer · REU · Special Semesters · Math · Clubs · Conferences · On-line Journals · Competitions · Prizes ·Honorary Societies · Careers· Jobs · Internships· Brochure Considering Graduate School in the Mathematical Sciences? Applying to Graduate School offers some helpful links. Find a Graduate Program, explore graduate programs in the mathematical sciences - search and sort by specialties, requirements, masters or PhD, size, location (U.S. & Canada). Graduate School Fair at the January Meeting Mathematical Sciences Graduate Programs in the U.S. is a list based on overall rankings, taken from survey groupings. Current Employment Trends in the Mathematical Sciences an article for math majors who are considering graduate school (at the beginning of the Assistantships and Graduate Fellowships book) NSF Graduate Research Fellowships support individuals in the early years of a Ph.D. program.

MCM: The Mathematical Contest in Modeling

Study Mathematics in Hungary - Budapest Semesters in Mathematics

Math in Moscow

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Throughout this post, we will work only at the formal level of analysis, ignoring issues of convergence of integrals, justifying differentiation under the integral sign, and so forth. (Rigorous justification of the conservation laws and other identities arising from the formal manipulations below can usually be established in an a posteriori fashion once the identities are in hand, without the need to rigorously justify the manipulations used to come up with these identities). It is a remarkable fact in the theory of differential equations that many of the ordinary and partial differential equations that are of interest (particularly in geometric PDE, or PDE arising from mathematical physics) admit a variational formulation; thus, a collection of one or more fields on a domain taking values in a space will solve the differential equation of interest if and only if

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advice
John Baez March 25, 2007 I have reached the stage where young mathematicians and physicists sometimes ask me for advice. Here is my advice. Most of it applies to grad students and postdocs in any branch of science who seek an academic career involving research.

This page lists some sources for books on the Web. There are a few electronic books already available, but the primary sources remain the publishers whether fully commercial or university publishers; in addition, book dealers can provide out-of-print and antiquarian material. Of course, libraries are the most important resource for the literature of mathematics. Directories of books available on the Internet Electronic Books
Mathematics on the Web: Books

Career Information
Learn More About How Mathematics Can Help You Build Your Career Graduate Students: Begin Now to Plan Your Career Students: Prepare for a Career in Mathematics

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

GAMS : Guide to Available Mathematical Software

Math on the Web: Mathematics by Classifications
Mathematical Awareness Month Math in the Media [Monthly magazine from the AMS] AMS Feature Column [Monthly essay from the AMS] MAA Online Columns Collection [Peterson, Devlin, Colm, Bressoud, Adams and Narayan, Sandifer, Morgan, Bogomolny, Peterson, Pegg]

Mathematics on the Web

Welcome to the Calculus Resources On-line area of the Mathematics Archives. This area contains information and links to numerous Internet resources, which could be used for teaching and learning of calculus. If you would like to suggest adding information to this area, or have comments or questions, please contact Przemyslaw Bogacki, the calculus moderator.
Mathematics Archives Calculus Resources On-Line

Manifesto. Interactive Mathematics Miscellany and Puzzles
The answer is simple. You cannot design an efficient engine without good knowledge of Calculus. Still you can drive a car without any understanding of the internal workings of the engine; much less of the mathematics needed to design or build one. In pragmatic terms we need mathematics very rarely, and, when we do, the mathematics we need is mostly trivial. Counting change in a supermarket, mortgage cost, interest on a loan, the best time to start a driving trip, frequent flier mile count, and what else?

Geometric Folding Algorithms: Linkages, Origami, Polyhedra
This is the start of a collection of web pages supporting the monograph Geometric Folding Algorithms: Linkages, Origami, Polyhedra. In particular, the pages consist of the book's table of contents and errata; an electronic copy for owners of the physical book; applets and other supplementary material; related PowerPoint presentations; and a survey paper that in some sense a short form of the book. Monograph: Geometric Folding Algorithms: Linkages, Origami, Polyhedra

Geometric Folding Algorithms: Linkages, Origami, Polyhedra (Fall 2010)
Prof. Erik Demaine [Home] [Problem Sets] [Project] [Lectures] [Problem Session Notes] Overview the algorithms behind building TRANSFORMERS and designing ORIGAMI

JavaGami

How to Make Mobius Strip Love Hearts

This book is an introduction to the standard methods of proving mathematical theorems. It has been approved by the American Institute of Mathematics' Open Textbook Initiative. Also see the Mathematical Association of America Math DL review (of the 1st edition), and the Amazon reviews. The second edition is identical to the first edition, except some mistakes have been corrected, new exercises have been added, and Chapter 13 has been extended. (The Cantor-Bernstein-Schröeder theorem has been added.) The two editions can be used interchangeably, except for the last few pages of Chapter 13.