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Week
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Topics
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Study Metarials
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1
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Definition of the derivative, rules of differentiation, a derivative of a composition, derivatives of higher order, Derivatives of the exponential and logarithmic functions
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R2 - Section 4
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2
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Derivative of an implicit function, Derivatives of parametric functions, Notion of differential, geometric and physical interpretations of the derivative
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R2 - Section 4
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3
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Mean value theorem, increasing and decreasing functions, Extremum values and first derivative test
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R2 - Section 4
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4
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Concavity and reflection points, second derivative test, L`Hospital rule
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R2 - Section 4
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5
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Asymptotes and graph plotting
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R2 - Section 4
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6
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Optimization problems, relative ratio
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R2 - Section 4
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7
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Indefinite integral and basic integration formulas
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R2 - Section 5
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8
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Methods of indefinite integration, changing variables method
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R2 - Section 5
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9
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Integration by parts and integration by simple fractions
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R2 - Section 5
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10
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Definite integral and its properties, the mean value theorem of the integral
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R2 - Section 6
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11
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Area under a curve
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R2 - Section 7
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12
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The volume of a solid of revolution
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R2 - Section 7
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13
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Multivariable functions
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R1 - Section 13
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14
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Partial derivatives
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R1 - Section 14
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