Methods in Advanced Calculus

3 credits · Undergraduate

(3 hrs Lecture) This course covers methods and applications of advanced calculus. Topics are chosen from: differentiation and integration of vector valued functions; arc length and speed; curvature and general motion in 3-dimensional space; vector fields, line integrals and surface integrals; the fundamental theorems of vector analysis (Green's Theorem, Stokes' Theorem, and the Divergence Theorem); Fourier series and other topics in harmonic analysis. Requisite Courses: MATH-2106 [prerequisite(s)].