Analysis is terminology intensive.
It is impossible to understand the theorems, which are stated in the terminology of Analysis, unless you first understand the definitions that make up the terminology.
Quiz 1 will consist entirely of definitions and terminology. As on quizzes in MA361, you will be given a table with a column of terms and a column of definitions, and asked to match each term to the definition that best fits.
The terms will be taken from the following list:
| Term | Text Reference |
| connected set | Definition 3.4.4 |
| disconnected set | |
| separated sets | |
| totally disconnected set | Exercise 3.4.8 |
| perfect set | Definition 3.4.1 |
| isolated point | Definition 3.2.6 |
| limit point | Definition 3.2.4 |
| dense subset | P.95: G is dense in R if every element of R is a limit point of G |
| nowhere dense set | Definition 3.5.3 |
| closure of a set | Definition 3.2.11 |
| open set | Definition 3.2.1 |
| closed set | Definition 3.2.7 |
| compact set | Definition 3.3.1 |
| bounded set | Definition 3.3.3 |
| G-delta set | Definition 3.5.1 |
| F-sigma set | |
| open cover | Definition 3.3.6 |
| finite subcover | |
| function limit | Definition 4.2.1 |
| continuous function | Definition 4.3.1 |
| uniformly continuous function | Definition 4.4.5 |
| right hand limit | Definition 4.6.2 |
| left hand limit | |
| removeable discontinuity | Exercise 4.6.3 |
| jump discontinuity | |
| essential discontinuity | |
| monotone function | Definition 4.6.1 |
| increasing function | |
| decreasing function |