Differentiable Mappings, Taylor's Formula, Local Invertibility, Implicit Function Theorem, Morse's Lemma, Differentiable Manifolds, Lagrange Multipliers, Integration Theory, Fubini's Theorem, Change of Variables Formula, Elements of Fourier Analysis.
Particulars: Primary emphasis will be placed on conceptual developments and proofs.
Prerequisite: Math 411 (Real Analysis I).
J. E. Marsden and M. J. Hoffmann, Elementary Classical Analysis (Second Edition), W. H. Freeman, San Francisco, 1993.
Return to Michele's homepage