7.1 Derivatives7.2 Par?tial Derivatives7.3 Applications of Derivatives. Tangents, Asymptotes, Extreme Points and Turning Points7.4 Differentiation of Functions of Several Variables7.5 Maxima and Minima of Functions of Several Variables7.6 Conditional Minima and Maxima. The Method of “Lagrange Multipliers”7.7 Vector Differential Calculus7.8 The Composite Function Theorem7.9 The Implicit Function Theorem7.10 The Inverse Function Theorem7.11 The Change of Variables Theorem7.12 Series Expansions in Several Variables7.13 Vector Fields. Curl, Divergence and the LaplacianSpherical, Cylindrical and Rectangular Coordinates