## MAT 1004: Multivariable Calculus

Syllabus: Review of vectors and matrices. Curves and surfaces. Partial derivatives. Total differential and gradients. Maximum and minimum values. Lagrange multipliers. Double integrals, Fubini’s theorem. Line integrals in the plane. Green’s theorem. Triple integrals and surface integrals in 3-space. Stokes theorem. Applications of multivariable calculus.

Prerequisite(s): Calculus

References:

1. James Stewart: Calculus, Cengage Publishers, 2012.
2. J.E. Marsden and A. J. Tromba: Vector Calculus, W. H. Freeman, 2003.
3. S. Lang: Calculus of several variables, Springer, 3rd edition, 1996.