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.
Click here for the syllabus.
HW 1: Do problems 2, 4, 5 on p. 330; 3, 4, 5 on p. 334.
HW 2: Do problems 1-5 on p. 344.
HW 3: Do problems 1-5 on pp. 348-349.
There will be a quiz on Thursday, February 1st.
HW 4: Do problems 1-4 on p. 352, and 4-5 p. 355.
There will be a quiz on Tuesday, February 13.
HW 5: Do problems 5-6 on p. 362.
HW 6: Do problems 1-6 on p. 367.
There will be a quiz on Thursday, February 22.
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