MATH-2415 Calculus III

Topics include vectors in space, limits of the functions of several variables, directional derivatives of functions of several variables, and multiple integration. Course also includes advanced topics in calculus, including vectors and vector-valued functions, partial differentiation, Lagrange multipliers, multiple integrals, and Jacobians; application of the line integral, including Green's Theorem, the Divergence Theorem, and Stokes' Theorem. Lec 4, Cr 4

Credits

4

Prerequisite

MATH-2414

Outcomes

  1. Perform calculus operations on vector?valued functions, including derivatives, integrals, curvature, displacement, velocity, acceleration, and torsion.
  2. Perform calculus operations on functions of several variables, including partial derivatives, directional derivatives, and multiple integrals.
  3. Find extrema and tangent planes.
  4. Solve problems using the Fundamental Theorem of Line Integrals, Green's Theorem, the Divergence Theorem, and Stokes' Theorem.
  5. Apply the computational and conceptual principles of calculus to the solutions of real-world problems.