11/28/2023 0 Comments Advanced calculus questions![]() Chapter 14 is on Variational Calculus: the main chapter and some extra and the central force problem.Chapter 13 is on Hodge duality ( part of this ).Chapter 12 is on the Generalized Stokes Theorem ( part of this ).Chapter 11 is on exterior algebra of forms on Rn ( part of this ).Chapter 10 on basics of abstract manifold theory.Chapter 9 on generalized Newton's method and how it justifies the implicit and inverse function and mapping theorems (wow).Chapter 8 on manifolds as level sets and Lagrange multipliers.Chapter 7 on local extrema from lense of multivariate Taylor and the joy of quadratic forms.Chapter 6 with what was said in lecture more or less.Coriolis effect adjoined to end of chapter.Chapter 4 with what was said in lecture more or less.Chapter 3 with what was said in lecture more or less.Chapter 2 (version 2) with what was said in lecture more or less.Notice the blank spots are filled in in the pdfs below. the first version of my Math 332 course notes.They are partly based on my Math 430 notes and in Chapter 14 my notes from a Junior level classical mechanics course I took at NCSU as an undergraduate. What is posted below are the notes I provided during that semester. ![]() I partly used Hildebrand for the variational calculus portion of the course as well. In my first run through this course we used C.H.
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