czech technical university in prague calculus 2 acollection of solved exercises miroslav korbelar paola vivi department of mathematics faculty of electrical engineering prague 2016 contents 1 sets in rn and ...
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...Czech technical university in prague calculus acollection of solved exercises miroslav korbelar paola vivi department mathematics faculty electrical engineering contents sets rn and their properties limits functions several variables directional derivatives gradient total derivative the taylor s polynomial local extremes global extrems with constraints double integrals tripple path integral surface green gauss stokes theorems fourier series exercise construct examples a nonempty set m r that i has no interior point ii boundary iii exterior iv accumulation v isolated solution any countable for example q circle line many other from condition it follows thusm is both open closed only such equal to thus we need have called dense wemayagain choose nite n determine closure following b where all rational numbers given may be adjusted transform on clearer shape completing squares rewrite rst inequality or k similarly second means can seen as u intersection two balls x use notation kx now know ...