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    Hi! START HERE: Course overview
  • Урок 2. 00:04:53
    Introduction to functions
  • Урок 3. 00:06:11
    Vertical line test
  • Урок 4. 00:08:40
    Domain and range
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    Domain and range from a graph
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    Even, odd, or neither
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    Equation modeling
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    Modeling a piecewise-defined function
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    Sketching graphs from story problems
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    Equation of a line in point-slope form
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    Equation of a line in slope-intercept form
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    Graphing parabolas
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    Center and radius of a circle
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    Graphing circles
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    Combinations of functions
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    Composite functions
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    Composite functions, domain
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    Horizontal line test (1-to-1)
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    Inverse functions
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    Finding the equation of a function from points on its inverse
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    Laws of logarithms
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    Quadratic formula
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    Completing the square
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    Long division of polynomials
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    Unit circle
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    Introduction to idea of the limit
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    Idea of the limit
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    One-sided limits
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    Proving that the limit does not exist
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    Precise definition of the limit
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    Introduction to combinations and composites
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    Limits of combinations
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    Limits of composites
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    Introduction to continuity
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    Point discontinuities
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    Jump discontinuities
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    Infinite discontinuities
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    Introduction to intermediate value theorem
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    Intermediate value theorem with an interval
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    Intermediate value theorem without an interval
  • Урок 41. 00:00:57
    Introduction to solving limits
  • Урок 42. 00:02:47
    Solving with substitution
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    Solving with factoring
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    Solving with conjugate method
  • Урок 45. 00:13:26
    Infinite limits and vertical asymptotes
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    Crazy graphs
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    Trigonometric limits
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    Making the function continuous
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    Introduction to squeeze theorem
  • Урок 50. 00:04:36
    Squeeze theorem
  • Урок 51. 00:03:07
    Squeeze theorem, limit of an inequality
  • Урок 52. 00:01:02
    Introduction to definition of the derivative
  • Урок 53. 00:12:15
    Definition of the derivative
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    Introduction to derivative rules
  • Урок 55. 00:05:22
    Power rule
  • Урок 56. 00:07:32
    Power rule for negative powers
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    Power rule for fractional powers
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    Product rule, two functions
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    Product rule, three or more functions
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    Quotient rule
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    Introduction to chain rule
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    Chain rule with power rule
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    Chain rule with product rule
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    Chain rule with quotient rule
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    Introduction to derivatives of trig functions
  • Урок 66. 00:19:08
    Trigonometric derivatives
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    Inverse trigonometric derivatives
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    Hyperbolic derivatives
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    Inverse hyperbolic derivatives
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    Introduction to derivatives of ln(x) and e^x
  • Урок 71. 00:06:48
    Exponential derivatives
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    Logarithmic derivatives
  • Урок 73. 00:06:55
    Logarithmic differentiation
  • Урок 74. 00:01:04
    Introduction to tangent and normal lines
  • Урок 75. 00:08:00
    Tangent lines
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    Value that makes two tangent lines parallel
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    Values that make the function differentiable
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    Normal lines
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    Average rate of change
  • Урок 80. 00:01:14
    Introduction to implicit differentiation
  • Урок 81. 00:10:24
    Implicit differentiation
  • Урок 82. 00:07:24
    Equation of the tangent line with implicit differentiation
  • Урок 83. 00:08:15
    Second derivatives with implicit differentiation
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    Introduction to optimization and sketching graphs
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    Critical points
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    Increasing and decreasing
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    First derivative test
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    Concavity
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    Second derivative test
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    Vertical asymptotes
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    Horizontal asymptotes
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    Slant asymptotes
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    Sketching graphs
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    Extrema on a closed interval
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    Sketching f(x) from f'(x)
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    Introduction to linear approximation
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    Linear approximation
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    Estimating a root
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    Introduction to related rates
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    Radius of the balloon
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    Price of the product
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    Water level in the tank
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    Observer and the airplane
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    Ladder sliding down the wall
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    Introduction to applied optimization
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    Dimensions of a rectangle that maximize its area
  • Урок 107. 00:10:25
    Dimensions of a rectangle that minimize its perimeter
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    Dimensions that minimize page size with a given printed area
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    Two real numbers with minimum product
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    Two real numbers with minimum sum of squares
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    Point on the line closest to another point
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    Time when velocity is minimum
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    Dimensions that maximize the volume of a box
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    Dimensions that minimize the surface area of an open top box
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    Width that minimizes the surface area of an open top box
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    Dimensions that maximize the volume of a cylinder
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    Dimensions that minimize the surface area of a cylinder
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    Maximum volume of a cone-shaped cup
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    Production level and sale price that maximize profit
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    Sales level that maximizes revenue
  • Урок 121. 00:15:47
    Maximum area of a rectangle inscribed in a semicircle
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    Dimensions that maximize the area of a rectangle inscribed in a triangle
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    Maximum volume of a cylinder inscribed in a sphere
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    Introduction to derivative theorems
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    Mean Value Theorem
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    Rolle's Theorem
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    Newton's Method
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    L'Hospital's Rule
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    Introduction to physics
  • Урок 130. 00:03:52
    Position function
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    Position function of a particle
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    Ball thrown up from the ground
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    Coin dropped from the roof
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    Introduction to economics
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    Marginal cost, revenue, and profit
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    Introduction to exponential growth and decay
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    Half life
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    Sales decline
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    Compounding interest
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    Wrap-up
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