Math 284. Analysis IV

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The Riemann-Stieltjes integral. Diffeomorphisms. Gradient, tangent plane. Extrema of functions of several variables, Lagrange multipliers. Orthogonal curvilinear coordinates (polar, spherical and cylindrical coordinates). Divergence, curl and Laplace operators. Transformation of multiple integrals. Line and surface integrals of vector fields. Curl and divergence. Differential forms. Theorems of Green, Gauss, and Stokes.
Prerequisite: Math 281 or consent of the instructor.
Core for Math.

Instructors: Selçuk Demir
Assistants:

Credits: 2

Analysis Lecture Notes (Ali Nesin): dvi pdf ps
Analysis HWs, Quizzes, MTs and Finals