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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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Derivative, Differentials, Rules for derivative, Chain rule
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R1: Section 2.2-2.4
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2
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Increasing and decreasing functions, Mean Value Theorem
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R1: Section 2.6
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3
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Implicit differentiation, Higher order derivatives, Anti derivative
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R1: Section 2.9-2.10
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4
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Inverse functions, Exponential and logarithmic functions, Natural logarithm
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R1: Section 3.1-3.3
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5
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Inverse trigonometric functions, Hyperbolic functions
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R1: Section 3.5-3.6
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6
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Linear differential equations with constant coefficients
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R1: Section 3.7
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7
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Related rates, Concavity and inflection points
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R1: Section 4.1, 4.3
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8
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Linear approximations, Error analysis, Indeterminate forms
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R1: Section 4.7, 4.9
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9
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Sum and product symbols, Some sum and product formulas, Series and sequences
Definite integral, Fundamental Theorem of Calculus
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R1: Section 5.1-5.3, 5.5
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10
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Techniques of integration
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R1: Section 6.1-6.3
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11
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Improper integrals
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R1: Section 6.5
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12
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Volumes of solids of revolution, Multiple integrals
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R1: Section 7.1, 14.1
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13
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Line integrals, Surface integrals, Greens Theorem
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R1: Section 15.3, 15.5, 16.3
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14
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Divergence Theorem, Stokes Theorem
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R1: Section 16.4-16.5
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