MA 225
Multivariate Calculus
Section C
Fall 2001

Final exam, homework/potd grades, and final course grades (via WebCT)
Syllabus
Homework assignments:
Classroom Demos:
- September 4, 2001
  - Graph of 2x² + y²
  - Tangents for a function of two variables
  - Volumes and Riemann sums
  - Rectangular coordinates of a point
- September 6, 2001
  - Position vector
  - Line in space determined by two points
  - Position and direction vectors for a line
  - Animation of parameterized line
  - Vector form of line in the plane
- September 13, 2001
  - Two intersecting lines
  - A plane with its normal line
- September 18, 2001
  - Cross product applet from the Syracuse University Physics Department
- September 20, 2001
  - Line swept out as the values of a vector-valued function
  - Circular helix given by a vector-valued function
  - Knotted curve given by a vector-valued function
  - Graphing applet written by Professor Leathrum at Jacksonville State University
  - Elliptical helix in space with a point on it
  - Animation to illustrate the limiting process involved in the definition of the derivative
  - Animation to illustrate the limiting process involved in the definition of the derivative: control h using the slider
  - The derivative vector that results from the above two animations
  - The derivative of the elliptical helix as another vector-valued function.
- September 25, 2001
  - Tangent vector at a point on a curve
  - Derivative of a vector-valued function
  - Arc length animation(s)
  - Derivative of the curve that sweeps out the trefoil knot
- September 27, 2001
  - Two animations of area computations in polar coordinates
    (courtesy of Professor Lou Talman, Metropolitan State College of Denver)
  - Many examples of surfaces
  - Many animations of surfaces
    (one courtesy of Professor Selwyn Hollis, Armstrong Atlantic State University and
    five courtesy of Professor John Putz, Alma College)
- October 2, 2001
  - Many examples and animations of surfaces (see 9/27)
  - Mathematica notebook for parameterized surfaces
- October 11, 2001
  - Various illustrations of level sets
    (some courtesy of Professor John Putz, Alma College)
  - Various graphs to illustrate continuity
- October 18, 2001
  Various graphs related to questions of extrema including:
  - a maximum
  - a saddle
  - a monkey saddle
  - a graph with two critical points
- October 23, 2001
  Two animations
  - Type 1 Chain Rule
  - Directional derivatives and the gradient
    (courtesy of Professor John Putz, Alma College)
- October 25, 2001
  - Directional derivatives and the gradient
    (courtesy of Professor John Putz, Alma College)
- October 30, 2001
  - Lagrange multipliers
  - Limit of Riemann sums for double integral
- November 1, 2001
  - Limit of Riemann sums for double integral
  - Numerous animations to illustrate interated integration
- November 6, 2001
  - Applet to illustrate area conversion
    Area conversion applet courtesy of Professor Leathrum at Jacksonville State University
  - Figures to illustrate the computation of surface area
- November 8, 2001
  - Figures to illustrate the computation of surface area
  - Solids to illustrate triple integration
- November 13, 2001
  - Solids to illustrate triple integration
- November 20, 2001
  - Solids to illustrate triple integration using spherical coordinates
- November 22, 2001
  - Vector fields for the Problem of the Day
  - Surface whose area can be calculated as a path integral
- November 29, 2001
  - Animation illustrating a line integral
  - Visual estimation of line integrals
Frequently asked questions (FAQ)
- How do I get handouts from the computer?
- How do I play the Quicktime animations?
Antonios' Corner
- Solution to Exercise 46 in Section 9.5
Homework Cover Sheet
Professor Diane Meuser's Tuesday Night Math Help
Exam 1:
Old exams:

MA 225 Multivariate Calculus Section C Fall 2001

MA 225
Multivariate Calculus
Section C
Fall 2001