Section 1.2: Inductive and Deductive Reasoning

1.2 Outline

  1. Magic squares
  2. A pattern of nines
  3. Order of operations (see below)
  4. Inductive reasoning (see below)
    1. conjecture
    2. exponentiation
      1. b2; b squared
      2. b3; b cubed
  5. Deductive reasoning (see below)
    1. undefined terms
    2. axioms or premises
    3. conclusion
    4. syllogism
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Section 18.1: What is Calculus?

18.1 Outline

  1. What is Calculus?
    1. Calculus is the mathematics of motion and change.
    2. The three main ideas of calculus are limit, derivative, and integral.
  2. The Limit: Zeno’s Paradox
    1. Achilles and the tortoise
    2. limit of a sequence
  3. The derivative: the tangent
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