Student Learning Outcomes

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