Instructor   Volker Runde 

Office hours   MWF 1111:50 or by appointment 



Course Content    The implicit function theorem and applications: local properties of C^{1}functions; the implicit function theorem; local extrema with constraints.
 Change of variables and the integral theorems by Green, Gauß, and Stokes: the change of variables formula; integration on curves and surfaces; the classical integral theorems by Green, Gauß, and Stokes.
 Infinite series and improper integrals: infinite series; improper integrals.
 Sequences and series of functions: pointwise convergence; uniform convergence; power series; Fourier series.




Textbooks   None required, but all texts recommended for MATH 217 are recommended for MATH 317 as well as is
As in MATH 217, I will follow my TeXed lecture notes, which I'll continue to (slightly) revise as the term progresses. 




Grading   The grade will be based on (approximately) weekly homework assignments (30%), an inclass midterm on February 25 (20%), and a final (50%). 