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Version I of this lecture course was offered a year ago. This version II will have about half of its material overlapping with version I; the rest will be created afresh The purpose, as in last year, is to show beautiful surprises and instructive paradoxes in a maximal diversity of fluid phenomena, and to understand them with minimal models. The prerequisites are fluency in the so-called `mathematical methods¿, plus ability to think physics at the advanced undergraduate level. We emphasize that this is a graduate course, and an undergraduate may enroll exceptionally only after passing a written test by the lecturer. nnNOTE: Undergraduates require instructor permission to enroll. Undergraduates interested in taking the course should contact the instructor for permission, providing information about relevant background such as performance in prior coursework, reading, etc.