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محتوى الدورة
Calculus A Kuwait University
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section 1-1 : Four Ways to Represent a Function
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section 1-2 : Mathematical Models: A Catalog of Essential Functions
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section 1-3 : New Functions from Old Functions
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section 1-4 : Exponential Functions Exponential Functions
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section 1-5 : Inverse Functions and Logarithms
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Review
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section 2-2 : The Limit of a Function
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section 2-3 : Calculating Limits Using the Limit Laws
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section 2-5 : Continuity
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section 2-6 : Limits at Infinity; Horizontal Asymptotes
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section 2-7 : Derivatives and Rates of Change
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section 2-8 : The Derivative as a Function
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Review
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section 3-1 : Derivatives of Polynomials and Exponential Functions
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section 3-2 : The Product and Quotient Rules
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section 3-3 : Derivatives of Trigonometric Functions
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section 3-4 : The Chain Rule
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section 3-5 : Implicit Differentiation
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section 3-6 : Derivatives of Logarithmic and Inverse Trigonometric Functions
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section 4-1 : Maximum and Minimum Values
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section 4-3 : What Derivatives Tell Us about the Shape of a Graph
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section 4-4 : Indeterminate Forms and l’Hospital’s Rule
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section 4-5 : Summary of Curve Sketching
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section 4-7 : Optimization Problems
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section 4-9 : Antiderivatives
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Review
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