10.3 | Polar Coordinates | Questions |
10.4 | Areas and Lengths in Polar Coordinates | Questions |
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11.1 | Sequences | Questions |
11.2 | Series | Questions |
11.3 | The Integral Test and Estimates of Sums | Questions |
11.4 | The Comparison Tests | Questions |
11.5 | Alternating Series | Questions |
11.6 | Absolute Convergence and the Ratio and Root Tests | Questions |
11.8 | Power Series | Questions |
11.9 | Representations of Functions as Power Series | Questions |
11.10 | Taylor and Maclaurin Series | Questions |
11.11 | Applications of Taylor Polynomials | none |
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12.1 | Three-Dimensional Coordinate Systems | none |
12.2 | Vectors | none |
12.3 | The Dot Product | Questions |
12.4 | The Cross Product | Questions |
12.5 | Equations of Lines and Planes | Questions |
12.6 | Cylinders and Quadric Surface | Questions |
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13.1 | Vector Functions and Space Curves | Questions |
13.2 | Derivatives and Integrals of Vector Functions
| Questions |
13.3 | Arc Length And Curvature | Questions |
13.4 | Motion in Space: Velocity and Acceleration | Questions |
| | |
14.1 | Functions of Several Variables | none |
14.2 | Limits and Continuity | Questions |
14.3 | Partial Derivatives | Questions |
14.4 | Tangent Planes and Linear Approximations | Questions |
14.5 | The Chain Rule | Questions |
14.6 | Directional Derivatives and the Gradient Vector | Questions |
14.7 | Maximum and Minimum Values
| Questions |
14.8 | Lagrange Multipliers | Questions |
| | |
15.1 | Double Integrals over Rectangles | Questions |
15.2 | Double Integrals over General Regions | Questions |
15.3 | Double Integrals in Polar Coordinates | Questions |
15.4 | Application of Double Integrals | Questions |
15.5 | Surface Area | Questions |
15.6 | Triple Integrals | Questions |
15.7 | Triple Integrals in Cylindrical Coordinates | Questions |
15.8 | Triple Integrals in Spherical Coordinates | Questions |
15.9 | Change of Variables in Multiple Integrals | Questions |
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