Some of this software was devopled by Tom Banchoff. For the rest we are using mathematica.

Calc III Demos

Chapter 13

  • 13.1 and 13.2 Points and Vectors, Adding 2 Vectors in 2-space, Adding Vectors in 3-space, Spheres in 3 space
  • 13.3 Dot Product and Projection on a Vector.
  • 13.4 Cross Product, Cross Product of Vectors in the x-y plane Scalar Triple Product, and Scalar Triple Product 2.
  • 13.5 Lines, How lines intersect, Planes determined by a Normal Vector, Planes determined by two vectors, Line intersecting x-y plane, Projection on Plane, Distance from a P to a Plane, and How planes intersect

    • Chapter 14

  • Path of Genesis Space Craft and Possible Pathways between Planets
  • 14.1: Vector Functions and Space Curves and Curves on Cylinders
  • 14.2: Derivatives of Vector Functions
  • 14.3: T, N, B, Osculating and Normal Planes and Driving along a Curve
  • 14.4: Acceleration
  • A handout on Chapter 14. (the .tex code for handout.)

    • Chapter 15

  • 15.1: The Wigwams, Another View, Graphing z=f(x,y) and level curves, Slice Curves and Some mathematica demos
  • 15.2: Continuity 1, Continiuty 2, and Approaching along a line, and Handout on limits
  • 15.3: Partial Derivatives and Tangent Plane
  • 15.5: 1D Chain Rule, 2D Chain Rule
  • 15.6: Direction Derivative, Hessian Determinant, and Max/Min
  • 15.8: Lagrange

    • Chapter 16

  • 16.1: Integrals in 1D and Integrals in 2D.
  • 16.2: Fubini's Theorem.
  • 16.4: Integrals in Polar Coor.
  • 16.5: Mass
  • 16.6: Integrals in 3D.
  • 16.7 and 16.8: Mass of a Region in Cylindrical and Spherical Coordinates.

    • Chapter 17

  • 17.2: Line Integral wrt to arc length
  • 17.1: Vector Fields
  • 17.2: Work, Work on curves, Work in 2d with r'(t) showing, and Work in 3d with r'(t) showing
  • 17.3: Potential
  • 17.6: Surfaces Notebook,Surface Area, Surface Area II, and Orientation Notebook
    • Last modified: Sun Oct 11 12:04:48 EDT 2009