SENG 102: Calculus II: Multivariable

Objectives: This course covers differentiation and integration of functions of multiple variables and their applications in engineering. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics, and computer graphics.

Description: The course involves Introduction to Multivariable Calculus, Derivatives of Multivariable Functions (partial derivatives, gradient and directional derivatives, divergence, curl, multivariable chain rule, Laplacian, Jacobian, applications, etc.), Integrating Multivariable Functions (line integrals for scalar functions, line integrals in vector fields, double integrals, triple integrals, change of variables, polar, spherical, and cylindrical coordinates, surface integrals, flux in 3D, and applications, etc.), Green's, Stokes', and the divergence theorems.