12-6 Cylinders and Quadric Surface, 12-7 Cylindrical and Spherical Coordinates, Chapter13 Vector Functions, 13-1 Vector Functions and Space Curves

WeekCourse ContentCourse Video
Chapter11 Functions and Model
11-1 Sequences
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11-2 Series
11-3 The Integral Test and Estimates of Sums
11-4 The Comparison Tests
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11-4 The Comparison Tests
11-5 Alternating Series
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11-6 Absolute Convergence and the Ratio and Root Tests
11-8 Power Series
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11-9 Representations of Functions as Power Series
11-10 Taylor and Maclaurin Series
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11-10 Taylor and Maclaurin SeriesWatch Online
11-11 The Binomial Series
11-12 Applications of Taylor Polynomials
Chapter12 Vectors and the Geometry of Space
12-1 Three-Dimensional Coordinate Systems
12-2 Vectors
12-3 The Dot Product
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12-4 The Cross Product
12-5 Equations of Lines and Planes
12-6 Cylinders and Quadric Surface
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12-6 Cylinders and Quadric Surface
12-7 Cylindrical and Spherical Coordinates
Chapter13 Vector Functions
13-1 Vector Functions and Space Curves
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13-1 Vector Functions and Space Curves
13-2 Derivatives and Integrals of Vector Functions
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13-2 Derivatives and Integrals of Vector Functions
13-3 Arc Length and Curvature
13-4 Motion in Space:Velocity and Acceleration
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Chapter14 Partial Derivatives
14-1 Functions of Several Variables
14-2 Limits and Continuity
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14-3 Partial DerivativesWatch Online
14-4 Tangent Lanes and Linear ApproximationsWatch Online
14-5 The Chain Rule
14-6 Directional Derivatives and the Gradient Vector
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14-6 Directional Derivatives and the Gradient Vector
14-7 Maximum and Minimum Values
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14-7 Maximum and Minimum Values
14-8 Lagrange Multipliers
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14-8 Lagrange MultipliersWatch Online
Chapter15 Multiple Integrals
15-1 Double Integrals over Rectangles
15-2 Iterated Integrals
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15-3 Double Integrals over General Regions
15-4 Double Integrals in Polar Coordinates
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15-6 Surface Area
15-7 Triple Integrals
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15-7 Triple Integrals
15-8 Triple Integrals in Cylindrical and Spherical Coordinates
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15-9 Change of Variables in Multiple Integrals
Chapter16 Vector Calculus
16-1 Vector Fields
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16-2 Line Integrals
16-3 The Fundanental Theorem for Line Integrals
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16-3 The Fundanental Theorem for Line Integrals
16-5 Curl and Divergence
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16-6 Parametric Surface and Their Areas
16-7 Surface Area
16-8 Stokes Theorem
16-9 The Divergence Theorem
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