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

Notes Information

Material Type:Review Sheet
University:James Madison University
Term:Fall 2004
  • Particularly
  • Particular Points
  • Unfortunately
  • Immediately
  • Contrapositive
  • Different Values
  • Small Number
  • Substituting
  • Negative Numbers
  • Implications
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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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