## SE102 : Multivariable Calculus (다변수 미적분학)

The goal of this course is to understand the concepts of differentiations and integrations of multivariable functions. We introduce the concepts of vectors and vector spaces, differentiability, and applications to optimization problems. We also emphasize the meaning of line and surface integrals. Student will also learn how to use MATLAB to compute and visualize concepts above.

__Basic linear algebra__: matrix, determinant, vector space__Vector functions__: graphs quadric surfaces__Differentiation__: continuity, directional derivatives, partial derivative, differentiability, tangent planes, chain rule__Optimization__: Hessians, Lagrange multipliers__Integration__: double and triple integrals, linear transformations, Jacobians, Integration by substitution__Line integrals__: vector fields__Surface integrals__: Green's theorem, Stokes' theorem, divergence theorem