MAT-275 Multivariable Calculus
This course is an extension of calculus to
higher-dimensional spaces. Main topics include
differentiation of functions of two and three
variables, an introduction to vector analysis and
parametrization, and a study of definite
integration in both rectangular and curved
coordinate systems. Topics may include a review
of functions of several variables, vector
geometry of 3-dimensional space, partial
derivatives, gradient vectors, optimization
techniques, multiple integration in the three
classical curvilinear coordinate systems,
parametric equations, vector fields, line
integrals and Green's Theorem, and the other
classical integral theorems of differential
geometry.
Prerequisites: MAT-175 with minimum grade of C,
or meet the criteria of the Math placement guide,
or Instructor permission.