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TOPICS COVERED
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Prerequisites for Calculus
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• Review of Powers and Exponents
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• Evaluating Functions
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• The Coordinate System
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• The Slope of a Line
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Introducing Differential Calculus
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• The Derivative
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• Derivative of Monomials
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• Derivative of Sum of Monomials
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• Product Rule
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• Quotient Rule
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More Differential Calculus
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• The Chain Rule
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• Higher Order Differentiation
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• Implicit Differentiation
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• Max/Min of Quadratic Functions
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• Max/Min Word Problems
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Introducing Integral Calculus
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• The Integral
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• Integration of Monomials I
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• Integration of Monomials II
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• Integration of Sum of Monomials
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• Integration of du/u
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More Integral Calculus
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• Area Under a Curve
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• Integration by Parts
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Trig., Exponential, Log Functions
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• Derivative of Trig. Functions: Proofs
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• Derivative of Trig. Functions: Problems
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• Integration of Trig. Functions
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• Differentiation/Integration of e^u
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• Derivative of a^nx
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Advanced Topics
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• Solids of Revolution
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• L'Hospital's Rule
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• Convergence/Divergence of Series
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