AnalysisII Complete.pdfAnalysisII Complete.pdf

The course aims to discuss multivariable calculus results.  In particular it defines differentiability for functions of several variables. 

It then discusses supporting hyperplanes and the implicit function theorem before applying differentiation techniques to optimization problems.  It then passes to multivariable integration and Fubini's Theorem and concludes with differential equations.  

We use the notes of Joachim Stubbe  but other materials are also recommended.