MAA 4211, Fall 2001
Miscellaneous handouts

You will need the Adobe Acrobat reader to view some or all of the handouts below (the pdf files). If you do not already have this capability, your browser should prompt you with instructions on how to download it for free.

Taking notes in a college math class (pdf file)
What is a proof? (pdf file) Ignore the references to the textbook; this handout was originally written for a linear algebra class (MAS 4105).
Mathematical grammar and correct use of terminology (pdf file) Same comment as above.
Sets and Functions (pdf file)
Difference Between Inverse Functions and Inverse Images (pdf file)
Equivalence Relations (pdf file)
One-to-one and onto: What you are really doing when you solve equations (pdf file) This was written for a more elementary class, but you may still find it useful.
Peano Axioms for the Natural Numbers (pdf file)
Establishing some familiar properties of the natural numbers. (pdf file) This has more to do with the foundations of arithmetic than with advanced calculus, but every student of mathematics should have an idea of which properties of arithmetic can be proven and which need to be assumed.
Constructing Z from N. (pdf file)
Constructing Q from Z. (pdf file)
Constructing R from Q: Dedekind cut approach (pdf file)
Interiors, Closures, and Boundaries (pdf file)

MAA 4211 home page

Last update made by D. Groisser Sun Oct 21 14:28:59 EDT 2001

MAA 4211, Fall 2001 Miscellaneous handouts

MAA 4211, Fall 2001
Miscellaneous handouts