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This semester I teach an introductory graduate course in solid mechanics. Following a suggestion made by Mark Walter, I posted an outline of my course in iMechanica.
This is the first time I teach the course at Harvard, but I taught a similar course at UCSB, and an upper-level undergraduate course of similar content at Princeton. The students for the three courses have different backgrounds. At Harvard, I assume that students have taken an undergraduate course on strength of materials (tension, bending, torsion, etc.), a course on multi-variable calculus, and a course on linear algebra. I try to avoid excessive math, and try to bring out features of mechanics. (My students may disagree with me, but at least my heart is in right place.) Most students will not be specialized in mechanics, as evident from their descriptions of themselves.