Read the following description of how to present your work.

HW 1:

Reading:
   Sections 12.1 through 12.2
   This article on Presenting Your Work
Problems:
   12.1: 5, 9, 11, 15, 21, 40, 47
   12.2: 11, 13, 19, 25, 27, 31, 51

HW 2:

Reading:
   Read sections 12.3 through 12.5 and skim through 12.6
Web Demonstrations:
   Play around with the following applets
      Quadric Surfaces
      Cross Products
Problems:
   12.3: 1, 13, 21, 29, 31, 52, 57, 63
   12.4: 1, 5, 13, 20, 25, 26, 43, 44
   12.5: 1, 9, 11, 15, 25, 31, 53
   12.6: 27, 28, 29

HW 3:

Reading:
   Sections 13.1 through 13.5
Web Demonstrations:
   Play around with the following applets
      Curves and tangent vectors
      Velocity vector
      More velocity vectors
      Curvature of a curve in 2D
      Curvature of a curve in 3D
      Derivative of a curve
Problems:
   13.1: 5, 13, 15, 18
   13.2: 4, 14, 30, 31, 33, 41, 49
   13.3: 3, 9, 13, 14
   13.4: 1, 7, 17, 21
   13.5: 3, 6, 32

HW 4:

Reading:
   Sections 14.1 through 14.4
Web Demonstrations:
   Play around with the following applets
      Planes
      Functions of two variables
      Level curves
      Partial derivatives
      Tangent planes
Problems:
   14.1: 7, 20, 23, 27, 36, 40
   14.2: 5, 15, 27, 35
   14.3: 3, 19, 21, 39, 47, 50, 53
   14.4: 3, 4, 7, 15, 27, 33

HW 5:

Reading:
   Sections 14.5, 14.6 and 14.7
Web Demonstrations:
   Play around with the following applets
      Directional derivatives and gradients
      Directional derivatives
Problems:
   14.5: 7, 13, 27, 31, 33, 37, 39, 43
   14.6: 1, 5, 7, 17, 20, 23, 27, 30
   14.7: 1, 3, 7, 17, 19, 24, 25, 27, 29

HW 6:

Reading:
   Sections 14.8 and 15.1
Web Demonstrations:
   Play around with the following applets
      Lagrange Multipliers
      Estimating Double Integrals
Problems:
   14.8: 2, 7, 11, 13, 15
   15.1: 10, 15, 23, 25, 33, 37, 44

HW 7:

Reading:
   Sections 15.2 and 15.3
Problems:
   15.2: 3, 5, 11, 25, 32, 37, 43, 45, 49, 59
   15.3: 3, 5, 11, 15, 17, 25, 33

HW 8:

Reading:
   Sections 12.7, 15.4 and 15.5
Web Demonstrations:
   Play around with the following applets
      Area in polar vs. rectangular coordinates
      Change of variables
      Spherical coordinates
      Change of variables in triple integrals
Problems:
   12.7: 1, 5, 23, 31, 41, 43, 48, 53
   15.4: 1, 5, 9, 19, 23, 27, 31, 37, 39, 42, 47, 51, 59
   15.5: 1, 5, 14, 15, 21, 29, 33, 37

HW 9:

Reading:
   Sections 16.1 and 16.2
Web Demonstrations:
   Play around with the following applets
      Line integral of a vector field
Problems:
   16.1: 1, 3, 10, 17, 23, 27
   16.2: 3, 9, 13, 21, 27, 35, 39, 40

HW 10:

Reading:
   Sections 16.3 and 16.4
Web Demonstrations:
   Play around with the following applets
      A parametrized surface
      Another parametrized surface
      A non-orientable surface
Problems:
   16.3: 1, 5, 9, 13, 17, 19, 21
   16.4: 1, 5, 8, 11, 19, 21, 37

HW 11:

Reading:
   Sections 16.5 and 17.1
Web Demonstrations:
   Play around with the following applets
      Flux across a circle
      Flux across a surface
Problems:
   16.5: 1, 6, 9, 12, 15, 17, 23
   17.1: 1, 3, 6, 9, 12, 23, 27

HW 12:

Reading:
   Sections 17.2 and 17.3
Problems:
   17.2: 1, 5, 9, 11, 19, 23
   17.3: 1, 5, 7, 11, 14, 15, 18
Web Demonstrations:
   Play around with the following applets
      Divergence and Curl
      Stokes theorem
      The idea of Stoke's theorem


Be sure to check all your answers in the back of the book.

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