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This course is required for second-year CCS Math students. Having taken Vector Calculus I is a requirement to get enrolled in this course While in Vector Calculus I we focused on Differentiation and Integration of real-valued functions of several variables, in this course we will study vector-valued functions. We will start with paths, adding applications of Newton's Second Law, and arc length of paths. Next we will introduce the divergence and curl of a vector field, which, in addition to the gradient, are basic operations in vector differential calculus. The basic geometry and calculus of the divergence and curl will be studied. Then, we will study integration over paths and surfaces to finally discuss the basic relation between vector differential calculus and vector integral calculus, a relation that generalizes the Fundamental Theorem of Calculus to several variables. This generalization is summarized in the Theorems of Green, Gauss, and Stokes. Required Texts: J. E. Marsden and A. J. Tromba Vector Calculus W. H. Freeman Instructor(s): Maribel Bueno Cachadina Time(s): Monday, Wednesday, Friday, 9:30 am-10:45 am Place(s): Old Little Theatre, Rm. 164B << Back |
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