MAT 213E - Calculus III

Course Objectives

1. To provide the applications of limit, continuity, partial differentiation and multiple integrals.
2. To give an ability to apply knowledge of mathematics on engineering problems

Course Description

Functions of several variables, limit, continuity, partial derivative, chain rules, directional
derivative, gradient vector, the equation of tangent plane and normal line, linearization and
differentaiability, extrama of multivariable functions, Lagrange multipliers method, Taylor formula,
double and triple integrals, substitutions in multiple integrals, applications of multiple integrals,
line integrals, vector fields, path independence, potential functions, the fundamental theorem of
line integrals, Green’s theorem in the plane, surface area and surface integral, Stokes’ theorem,
Divergence theorem