Interpret functions of more than one variable by holding all but one variable fixed. Graph cross sections for a function given by its contour diagram. Represent and recognize linear functions as tables of values, parallel, equally spaced contour lines, flat surfaces, and first degree equations. Represent functions of three variables as level surfaces.
Vectors Find the magnitude, direction and component form of displacement vectors.
Use vector models for applications of velocity, force, work, finding angles between vectors, and projections. Interpret units and signs of partial derivatives. Find tangent plane approximations and discuss local linearity for functions of two variables. Find and interpret differentials for functions of two variables. Compute gradients geometrically and algebraically.