Course Outline

1. Differential Calculus
   • Partial derivatives
   • The gradient and directional derivative
   • Differentials
   • The chain rule
   • Extrema of multivariable functions
2. Multiple Integrals
   • Double and triple integrals
   • Iterated integrals
   • Change of variable and the Jacobian
3. Vector Integral Calculus
   • Line and surface integrals
   • Divergence and curl
   • Green's theorem
   • The divergence theorem
   • Stokes' theorem

Textbook

R.A. Adams, Calculus of Several Variables, 2nd edition (Addison-Wesley, 1991).

Reference

M.R. Spiegel, Theory and Problems of Advanced Calculus, (Schaum's outline series, 1963). Chapters 6 - 10 are relevant.

last updated Sat Oct 20 00:43 EDT 2001 by RAE