MAT 253 Calculus III
4 hours
In this course, which is the third course in the calculus sequence, multi-variable calculus along with an introduction to vector analysis are discussed. Subjects studied include three-dimensional coordinate systems, dot and cross products, equations of lines and planes, quadric surfaces, vector-valued functions. Limits, partial derivatives, the gradient vector, maximum and minimum values, double and triple integrals over general regions, and the computation of multiple integrals using alternative coordinate systems. Vector fields, line integrals, path independence, Green’s theorem, the divergence theorem, surface integrals and Stokes’ theorem are also considered.
Notes
This course satisfies the Required Core: Math and Quantitative Reasoning area of the Gen Ed Program.
This course is part of a new, three-course calculus sequence that has superseded the old, four-course sequence that consisted of MAT 241 Calculus I, MAT 242 Calculus II, MAT 243 Calculus III, and MAT 244 Calculus IV.