calculus 45s slides february 11, 2008

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How much math do YOU remember? hard math

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Review of fundamental algebraic concepts and techniques required for calculus.

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Page 1: Calculus 45S Slides February 11, 2008

How much math do YOU remember?

hard math

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What you should already know ...

Properties of Exponents• Multiplying powers• Dividing powers• Power of a power• Power of a product• Power of a quotient• "Zero" exponents• Negative exponents• Rational exponents

Factoring Polynomials• Factoring out a monomial• Factoring a trinomial with a = 1 and a ≠ 1• Factoring a difference of squares• Factoring a sum or difference of cubes

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What you should already know ...

Operations on Rational Expressions• Adding rationals• Subtracting rationals• Multiplying rationals• Dividing rationals• Simplifying by factoring or reducing

Operations on Radicals• Simplifying whole to mixed radicals• 4 basic operations• Rationalizing numerator or denominator

Linear Functions• Determine the slope• Finding equations given - two points - point and a slope - point and eq'n of a parallel line - point and eq'n of a perpendicular line

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AssignmentWhite and Orange Book:All exercises to page #30

Blue Book:Pages 2, 3, 4, 5