# Lecture Notes for MATH 231 - CALCULUS WITH FUNCTIONS I [C3T1G1] with Walton at James Madison (JMU)

## Notes Information

 Material Type: Review Sheet Professor: Walton Class: MATH 231 - CALCULUS WITH FUNCTIONS I [C3T1G1] Subject: Mathematics University: James Madison University Term: Fall 2004 Keywords: ParticularlyParticular PointsUnfortunatelyImmediatelyContrapositiveDifferent ValuesSmall NumberSubstitutingNegative NumbersImplications

## Sample Document Text

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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