[MAT 120] Calculus for Functions of Several Variables

Course Content

Complex numbers. Vectors, lines and planes in space, scalar and vector products. Vector valued functions. Space curves.Functions of everal variables: Limit, continuity, partial derivatives, directional derivatives. Tangent plane. Extreme values. Method of Lagrange multipliers. Multiple integrals. Cylindrical and spherical coordinates. Line, surface integrals. Green´s Theorem. Gauss´ and Stokes´ Theorems.

Course Objectives

At the end of this course, the student will

  • know the literal meaning of limit, continuity, differentiability and integration in multi dimensional setting
  • analyze functions using limits, derivatives, and integrals in multi dimensional setting
  • master differentiation and integration theory and techniques which are needed in various branches of sciences.
  • be able to apply these theories and techniques to life problems.
  • recognize the appropriate tools of multivariable calculus to solve applied problems
  • master mathematical reasonining and writing.