MAT1300Review
1.
Precalculus
•
Exponents and radicals, Absolute Values
•
Solving inequalities
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Factorization of polynomials
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Rationalizing denominator or numerator
2.
Functions
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Linear functions
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Polynomials, rational functions, power functions, exponential functions (Com
pounded continuously, Exponential Growth and Decay), logarithmic functions,
inverse functions
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Continuity
3.
Limits
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Basic rules, leftright limits
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Vertical asymptotes
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Horizontal asymptotes
4.
Differentiation
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Definition (as a limit)
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Constant rule, Constant multiple rule, Sum rule and difference rule, Power rule,
Product rule, Quotient rule, Chain Rule
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Derivative of exponential and logarithmic functions
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Higher derivatives
•
Implicit Differentiation
•
Applications
1
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Rate of change
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Slope of the tangent line
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Velocity and Acceleration
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Marginals: marginal revenue, marginal cost, marginal profit
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Relative (local) max and min: Critical numbers, FirstDerivative Test and
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 Fall '09
 Calculus, Polynomials, Radicals, Exponents, Derivative, Power Rule, Inequalities, Rational Functions, general power rule, Constant Multiple Rule, increase/decrease – Concavity

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