MATH 2401 Calculus III:
Maple Explorations

Here you will find a collection of Maple worksheets designed to help you in your studies. The following online resourses were written with this course in mind.

• Maple Worksheets
  • Parametric Curves: We use Maple to explain and visualize the unit tangent, normal, curvature and other quantities associated with a curve.
  • Flying in the Wind : Suppose you wish to fly (in an airplane) from point A to point B against the wind, this worksheet illustrates basic vector calculations involved.
  • A Water Whirl: The surface of a rotating fluid forms a paraboloid. An application of this is the construction of liquid mirror telescopes.
  • Three dimensional plots: We introduce methods to plot parametric surfaces with Maple.
  • Second Derivative Test: A linear algebra approach to classifying critical points.
  • Lagrange Multipliers: Maximization/Minimization under constrains. Analytic and geometric approaches.
  • Pappus' theorem: To simplify the computation of volumes of revolution.
  • Polar coordinates: Most useful when dealing with problems with the right symmetry.
  • Intersecting cylinders: An illustrative example in the computation of volumes.
  • Change of variables: In this worksheet we describe and explain changes of variables in multiple integrals.
  • Flux and circulation in two dimensions: Typical applications of the line integral.
  • Surface Area, Centroids, Moments of Inertia.
  
  
• Projects
  • Extrema of functions of several variables.
  • Lagrange Multipliers
  • Multiple Integrals
  • Centroids and centers of mass.
  • Triple integrals in cylindrical and spherical coordinates.
  • Line Integrals.
  • Green's theorem and centroids.
  • Three dimensional plots.
  
  
• Solved Problems
  • Chapter 8, Section 2
  • Chapter 8, Section 3
  • Chapter 8, Section 4
  • Chapter 8, Section 5
  • Chapter 8, Section 6
  • Chapter 8, Section 7
  • Chapter 12, Section 2
  • Chapter 13, Section 1
  • Chapter 13, Section 2
  • Chapter 13, Section 3
  • Chapter 13, Section 1
  • Chapter 13, Section 2
  • Chapter 13, Section 3
  • Chapter 14, Section 1
  • Chapter 14, Section 2
  • Chapter 14, Section 3
  • Chapter 15, Section 1
  • Chapter 15, Section 2
  • Chapter 17, Section 1
  • Chapter 17, Section 2
  • Chapter 17, Section 3
  • Chapter 16, Section 2
  • Chapter 17, Section 1
  • Chapter 17, Section 2
  • Chapter 17, Section 3
  • Chapter 18, Section 1
  • Chapter 18, Section 2
  • Chapter 18, Section 1
  • Chapter 18, Section 2

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Last Modified: . School of Mathematics, Georgia Institute of Technology.