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Math 231 Overview
The final exam will be comprehensive. However, the course has naturally built on earlier material.
So early concepts are more likely to be applied in a synthesized way with later material.
Chapter 0
. Section 0.1: Numbers and sets
- Key concepts: types of numbers, sets, intervals, union/intersections, absolute value and
distance
- Reappearances:
? Intervals occur frequently: solution sets to inequalities, and then later to describe
where functions have different properties
? Unions/Intersections: again, in solution sets to inequalities; also, when we describe a
function in curve sketching analysis, we are implicitly doing intersections of intervals.
? Absolute value: The most important application is in the definition of a limit. It
also appears in inequalities and as an excellent example of a function with a corner
(so not differentiable)
? Distance and Midpoint: usually appear in applications, although distance is the
generalization of absolute value in later math courses.
...

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