21-356 Principles of Real Analysis II

Units: 9.0 Department: Mathematical Sciences Prerequisites: 21-241 and 21-259 and 21-355 Related URLs: http://www.math.cmu.edu Topology in metric spaces, specialization to finite dimensional normed linear spaces. Vector differential calculus: continuity and the total derivative, partial derivatives, directional derivatives, gradients, Jacobians, the chain rule, implicit function theorem. Vector integral calculus: double and triple integrals, arclength and surface area, line integrals, Green's Theorem, surface integrals, Divergence and Stokes Theorems. If time permits: trigonometric series, Fourier series for orthonormal bases, minimization of square error. 3 hours lecture.

Popularity index Rank for this semester: #267 Rank in this department: #26   Students also scheduled 15-399 Special Topic: Constructive Logic 80-180 The Nature of Language 21-700 Mathematical Logic II 15-462 Computer Graphics 15-451 Algorithm Design and Analysis 33-112 Physics II for Science Students 21-373 Algebraic Structures 21-623 Complex Analysis 80-254 Analytic Philosophy 21-484 Graph Theory

Spring 2005 times

Sec	Time	Day	Instructor	Location
A	1:30 - 2:20 pm	M	Mizel	DH 1211
		W	Mizel	DH 1211
		F	Mizel	DH 1211