Math 5C – Calculus

SLO #1. Apply vector operations to find equations of lines and planes and analyze the motion of a particle in space.

SLO #2. Find limits, partial derivatives, directional derivatives, gradient vectors, and differentials and linear approximations of functions of two or more variables.

SLO #3. Find local and absolute extrema of functions of two variables.

SLO #4. Compute integrals over a region, curve, solid and surface, of both scalar and vector fields, and use them to solve application problems.

SLO #5. Apply the Fundamental Theorem for Line Integrals, Green's Theorem, Stokes' Theorem and the Divergence Theorem.