Multivariable Calculus

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                                                Independent study contract

 

Week

Topic(s)

Quiz Due

 

Problem set

Problem set

1

Parametric equations and curves

 

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Answers

2

Polar coordinates

 

 

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3

Conic sections

 

 

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4

3D coordinate systems, vectors

 

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5

Dot product and cross product

 

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6

Equations of lines and planes

 

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7

Equations of cylinders and quadratic surfaces

 

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8

Vector functions and their derivatives

 

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9

Arc length and curvature, motion in space

 

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10

Functions of several variables

 

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11

Partial derivatives

 

 

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12

Tangent planes and linear approximations

 

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13

The chain rule

 

 

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14

Directional derivatives and the gradient vector

 

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15

Minimum and maximum values, Lagrange multipliers

 

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16

Introduction to double integrals and iterated integrals

 

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17

Double integrals

 

 

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18

Applications of double integrals and surface area

 

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19

Triple integrals

 

 

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