Del Mar College
Math 2316
Calculus IV
The textbook for 2000-2001 is Calculus, Swokowski, PWS, Fifth Edition, 1991. The following topics are to be covered in Calculus IV.
16.1 Functions of Several Variables
16.2 Limits and Continuity
16.3 Partial Derivatives
16.4 Increments and Differentials
16.5 Chain Rules
16.6 Directional Derivatives
16.7
Tangent Planes and
16.8 Extrema of Functions of Several Variables
16.9 Lagrange Multipliers
17.1 Double Integrals
17.2 Area and Volume
17.3 Double Integrals in Polar Coordinates
17.4 Surface Area
17.5 Triple Integrals
17.6 Moments and Center of Mass
17.7 Cylindrical Coordinates
17.8 Spherical Coordinates
18.1 Vector Fields
18.2 Line Integrals
18.3
18.4 Green's Theorem
18.5 Surface Integrals
18.6 The Divergence Theorem
18.7 Stokes' Theorem