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...Amath pmath winter elementary differential geometry course outline instructor ruxandra moraru email math uwaterloo ca office hours mc w and th subject to change or by appointment lectures mwf web page can be found at http uwace this contains a description of the handouts class schedule suggested problems assignments solutions other is used make announcements it important that you register site enter your current address receive goals purpose serve as an introduction local with view towards providing student strong background for global general relativity applications in both pure applied emphasis placed squarely on calculations every geometric object studied will subset r n but without losing sight theoretical framework into which fit topics parametrized embedded curves arc length curvature torsion frenet formulas simple closed surfaces three dimensions surface patches tangent spaces normal vectors isometries conformal maps first second fundamental form minimal notions principal gaussi...