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The goal of the lab projects is to develop geometric intuition by using computer graphics to help visualize and understand the mathematical objects discussed in the course.

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Labs

• An introduction to Maple
  A practical demonstration of the Maple commands used in this course.
• Space Curves and Motion
  Using Maple to plot space curves.
• Functions of two variables, contour plots and level curves
  A geometric first look at contour plots and surfaces.
  
• Continuity and Differentiability
  Zooming in on the graph of a function of two variables.
  
• Gradients and Vector Fields
  The relationship between the gradient vectors of a function and its graph, contours, tangent plane and directional derivatives.
• Critical Points of Functions of Two Variables
  Identification of critical points and exploration of different critical point behaviors.
• When is a Vector Field a Gradient Vector Field?
  Visual identification of conservative and non-conservative vector fields.

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Supplemental Materials

Advanced Lagrange Multipliers
Information and links about Maple.
Using linear algebra to navigate from Chicago to Timbuktu