SUNY at Stony Brook MAT 322: Analysis in Several Dimensions
Spring 2015

Welcome to MAT 322

This is a mathematically rigorous course with complete proofs. Topics covered will include:
  • topology of
  • derivatives
  • the inverse function theorem
  • the Riemann integral
  • the change of variables theorem for multiple integrals
  • manifolds and differential forms in
  • Stokes's theorem and applications
  • and other topics if time permits.

    Textbook: "Analysis on Manifolds" by James R. Munkres, Westview Press, 1997

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