Coverage List for Exam I

Please plan to attend the review section - more complete information will be given there.

Exam I covers sections 1.1 - 1.6, 2.1 - 2.3.

The following topics and ideas may appear on the exam.

  • Properties of |a|; on number line distance(a,b) = |a-b|
  • Intervals ( a, b), etc
  • Solution of inequalities
  • Distances in the plane, circle equations
  • Functions - domain, range, types of monotone functions,
    odd and even functions, symmetries, 1-1 functions
    Don't worry about scaliong and shift
  • Slope of lines, equations of lines
  • Quadratic formula - disregard completion of square, max, min for now
  • Types of functions: polynomial, rational, algebraic
    trigonometric, logarithmix, exponential
  • Constructing functions - sum, difference, product, quotient,
    scalar multiple, composition
  • Definitions (triangle and circle) of sin, cos, tan (skip the other 3 for now
  • Periods and graphs of these
  • trig identities (p 29)
  • Law of Cosines
  • finding inverse function of 1-1 f(x)
  • restricted domain for sin, cos, tan
  • computing inverse of sin, cos, tan using triangles
  • Exponential fcn y = b^x, laws of exponents
  • Log to the base b , laws of logs
  • Solving exponential equations
  • Defns of hyperbolic fcns ( sinh, cosh, tanh)
  • Motion on a line, average velocity for t in an interval
  • Esitimating limits with a table
  • Existence of limits
  • Laws of limits