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.


4 credits