Calculus 3
Partial derivatives
Functions of several variables
\( \textnormal{A function } f \textnormal{ of two variables is a rule that assigns to each ordered pair of real numbers (x, y) in a set } H \textnormal{ a unique real number denoted by f(x, y). The set } H \textnormal{ is the domain of f and its range is the set of values which } f \textnormal{ takes, that is, } \{ \, f(x, y) \, | \, (x, y) \, \epsilon \, H \, \} \qquad (\textnormal{Definition of multivariable function}) \)
Lmits and continuity
Partial derivatives
Tangent planes and linear approximations
Chain rule
Directional derivatives and the gradient vector
Maximum and minimum values
Lagrange multipliers