This page contains a list of important definitions, theorems, and standard examples. The content of this page will be developed collaboratively by the members of the class and will be available to use on each in-class exam.

## how to add entries to this page

To add an entry to this page, click the button that says `edit` in the bottom righthand corner of the page or in the sidebar on the left. The format of your entry should be in the following form:

**title-of-entry**

Write content of entry here.

Use double stars around the title of the term to make it **bold**. See the quick LaTeX guide if you need help with typesetting mathematics. Here is an example:

cyclic group

A group $G$ iscyclicif there exists $a\in G$ such that $\langle a \rangle = G.$

The syntax for this entry is:

**cyclic group**

A group [[$G$]] is //cyclic// if there exists [[$a\in G$]] such that [[$\langle a \rangle = G.$]]

# guidelines & suggestions

**New:**For the second exam and for the final, each student is required to contribute a**minimum of one entry**to each collection of chapter summaries that correspond to the material covered on that given exam.- Entries should be accurate but written in your own words and not copy & pasted from elsewhere. However…
- You must use proper grammar and mathematical formatting using $\LaTeX$. (For help with typesetting $\LaTeX$, see the quick LaTeX guide.)
- Follow the directions in the box on the right to get an idea for how you should be formatting your entry.
- You shouldn't wait till the week before the exam to add entries to the summary. I suggest that you add entries as we go.
- It might be a good idea to develop a collective plan for adding entries.
- You should order the entries in a way that makes sense, which may not be the order in which they were created.