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Lecture 01: Derivatives, slope, velocity, rate of change
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Lecture 02: Limits, continuity. Trigonometric limits.
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Lecture 03: Derivatives of products, quotients, sine, cosine.
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Lecture 04: Chain rule. Higher derivatives.
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Lecture 05: Implicit differentiation, inverses.
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Lecture 06: Exponential and log. Logarithmic differentiation; hyperbolic functions.
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Lecture 07: Continuation and Review
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Lecture 38: Taylor's series
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Lecture 01: Derivatives, slope, velocity, rate of change.
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Lecture 09: Linear and quadratic approximations
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Lecture 37: Infinite series and convergence tests
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Lecture 15: Differentials, antiderivatives
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Lecture 10: Curve sketching
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Lecture 18: Definite integrals
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Lecture 27: Trigonometric integrals and substitution
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Lecture 36: Improper integrals
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Lecture 16: Differential equations, separation of variables
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Lecture 39: Final review
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Lecture 11: Max-min problems
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Lecture 12: Related rates
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Lecture 29: Partial fractions
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Lecture 13: Newton's method and other applications
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Lecture 24: Numerical integration
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Lecture 31: Parametric equations, arclength, surface area
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Lecture 30: Integration by parts, reduction formulae
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Lecture 22: Volumes by disks and shells
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Lecture 28: Integration by inverse substitution; completing the square use
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Lecture 19: First fundamental theorem of calculus
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Lecture 14: Mean value theorem; Inequalities
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Lecture 32: Polar coordinates; area in polar coordinates
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Lecture 23: Work, average value, probability
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Lecture 20: Second fundamental theorem
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Lecture 21: Applications to logarithms and geometry
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Lecture 25: Exam 3 review
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Lecture 33: Exam 4 review
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Lecture 35: Indeterminate forms - L'Hôspital's rule
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Lecture 35: Indeterminate forms - L'Hôspital's rule
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Lecture 06: Exponential and log. Logarithmic differentiation
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Lecture 03: Derivatives of products, quotients, sine, cosine
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1 - Derivatives, slope, velocity, rate of change
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Lecture 11: Sketching (cont.); max-min problems
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2 - Limits, Continuity, Trigonometric limits
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mit.edu-dz.3303824020.03303824022
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Lecture 12: Max-min (cont.); related rates
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