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Student Learning Outcomes

Course Name: Calculus and Analytic Geometry
Course Number: Math 280
Course Objectives:
  • Students can analytically describe the physical states of objects with mass traveling in three dimensions.
  • Students can compute partial and directional derivatives for functions of several variables
  • Students can evaluate multiple integrals to compute volumes, surface areas, moments and centers of mass, flux, and work.
  • Students can apply partial derivatives to optimization problems.
  • Math students feel they have the resources necessary for their success.
  • Students will feel that mathematics is a beneficial part of their education
  • Plot points, graph cylinders and quadric surfaces, computer distances and give equations of lines and planes in three dimensional rectangular, cylindrical and spherical coordinate systems.
  • Perform vector operation, including linear combinations, dot and cross products and projections.
  • Plot and parameterize space curves, compute velocity and acceleration vectors, decompose acceleration vector into normal and tangential components, compute arc length and curvature.?
  • Compute domain of functions of several variables, plot surfaces, level curves and level surfaces for functions of several variables. ?
  • Evaluate limits for functions of several variables and test for continuity.?
  • Determine differentiability and evaluate partial derivatives, including the use of Chain Rule.
  • Compute the total differential for a function of several variables, and apply this to error estimation.
  • Compute directional derivatives and the gradient vector, solve application problems using their properties. ?
  • Compute the equations for tangent planes and normal lines to surfaces.?
  • Identify and classify extrema and saddle points of functions of several variables, using the second partials test.