{"id":4367,"date":"2020-02-08T20:59:58","date_gmt":"2020-02-08T11:59:58","guid":{"rendered":"https:\/\/sasamath.com\/blog\/?p=4367"},"modified":"2020-06-01T11:41:06","modified_gmt":"2020-06-01T02:41:06","slug":"calculus-ii-prehomework-2020-spring","status":"publish","type":"post","link":"https:\/\/sasamath.com\/blog\/articles\/calculus-ii-prehomework-2020-spring\/","title":{"rendered":"\ubbf8\uc801\ubd84\ud559 II \uc790\uae30\uc8fc\ub3c4\uc801 \ud559\uc2b5 \uacfc\uc81c (\uc804\ubc18\ubd80)"},"content":{"rendered":"<p>\u2018\uc790\uae30\uc8fc\ub3c4\uc801 \ud559\uc2b5 \uacfc\uc81c\u2019\ub294 \uc2a4\uc2a4\ub85c \uacf5\ubd80\ud558\ub294 \ud559\uc0dd\ub4e4\uc5d0\uac8c \ud559\uc2b5\uc758 \ubc29\ud5a5\uc744 \uc548\ub0b4\ud574\uc8fc\uae30 \uc704\ud55c \ubb38\uc81c\uc785\ub2c8\ub2e4. \ub9e4\uc8fc 5\ubb38\uc81c\uac00 \uc81c\uacf5\ub429\ub2c8\ub2e4. Thomas Calculus \uad00\ub828 \ub2e8\uc6d0\uc744 \uacf5\ubd80\ud55c \ud6c4 \ucda9\ubd84\ud788 \uc0dd\uac01\ud558\uba74\uc11c \ubb38\uc81c\ub97c \ud480\uc5b4\ubcf4\uc138\uc694. \uc5ec\ub7ec\ubd84\uc758 \uc2e4\ub825 \ud5a5\uc0c1\uc5d0 \ub3c4\uc6c0\uc774 \ub420 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<p><a name=\"week01\"><\/a><\/p>\n<p class=\"aligncenter margintop2 marginbottom2\">**** **** ****<\/p>\n<h3>1\uc8fc\ucc28<\/h3>\n<div class=\"box\">\n<p>1\uc8fc\ucc28 \ubb38\uc81c\uc758 \uad00\ub828 \ub2e8\uc6d0\uc740 12.1 ~ 12.4\uc808\uc785\ub2c8\ub2e4.<\/p>\n<\/div>\n<ol>\n<li>\u2018\uc720\ud074\ub9ac\ub4dc \uacf5\uac04\u2019\uc758 \uc815\uc758\ub294 \ubb34\uc5c7\uc778\uac00\uc694?<\/li>\n<li>\uc218\ud559\uc5d0\uc11c \u2018\uacf5\uac04(space)\u2019\uc774\ub780 \uc5b4\ub5a4 \uc758\ubbf8\ub97c \uac16\ub098\uc694? \u2018\uacf5\uac04\uc744 \uc815\uc758\ud55c\ub2e4\u2019\ub77c\ub294 \uac83\uc740 \ubb34\uc2a8 \ub73b\uc778\uac00\uc694?<\/li>\n<li>Thomas Calculus\uc5d0\uc11c\ub294 \uc720\ud074\ub9ac\ub4dc \uacf5\uac04\uc5d0\uc11c \ubca1\ud130\uc758 \ub0b4\uc801(inner product)\uc744 \uae30\ud558\ud559\uc801 \ubc29\ubc95\uc73c\ub85c \uc815\uc758\ud558\uc600\uc2b5\ub2c8\ub2e4. \uadf8\ub7ec\ub098 \ubca1\ud130\uc758 \ub0b4\uc801\uc740 \uc131\ubd84\ubcc4 \uacf1\uc758 \ud569\uc73c\ub85c\ub3c4 \uc815\uc758\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub450 \uac00\uc9c0 \uc815\uc758\uc758 \uc7a5\uc810\uacfc \ub2e8\uc810\uc744 \uac01\uac01 \uc11c\uc220\ud558\uace0, \ub450 \uc815\uc758\uac00 \uc11c\ub85c \ub3d9\uce58\uc784\uc744 \uc99d\uba85\ud558\uc138\uc694.<\/li>\n<li>Thomas Calculus\uc5d0\uc11c\ub294 3\ucc28\uc6d0 \uc720\ud074\ub9ac\ub4dc \uacf5\uac04\uc5d0\uc11c \ubca1\ud130\uc758 \uac00\uc704\uacf1(\uc678\uc801, cross product)\uc744 \uae30\ud558\ud559\uc801 \ubc29\ubc95\uc73c\ub85c \uc815\uc758\ud558\uc600\uc2b5\ub2c8\ub2e4. \ub0b4\uc801\uacfc \ub9c8\ucc2c\uac00\uc9c0\ub85c \uc678\uc801 \ub610\ud55c \ubca1\ud130\uc758 \uc131\ubd84\uc744 \uc774\uc6a9\ud558\uc5ec \uc815\uc758\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub450 \uac00\uc9c0 \uc815\uc758\uc758 \uc7a5\uc810\uacfc \ub2e8\uc810\uc744 \uac01\uac01 \uc11c\uc220\ud558\uace0, \ub450 \uc815\uc758\uac00 \uc11c\ub85c \ub3d9\uce58\uc784\uc744 \uc99d\uba85\ud558\uc138\uc694.<\/li>\n<li>2\ucc28\uc6d0 \ubca1\ud130(\ud3c9\uba74 \ubca1\ud130)\uc758 \uc678\uc801\uc744 \uc815\uc758\ud560 \uc218 \uc788\uc744\uae4c\uc694? \uc815\uc758\ud560 \uc218 \uc788\ub2e4\uba74 \uc5b4\ub5bb\uac8c \uc815\uc758\ud560\uae4c\uc694? \uc815\uc758\ud560 \uc218 \uc5c6\ub2e4\uba74 \uadf8 \uc774\uc720\ub294 \ubb34\uc5c7\uc778\uac00\uc694? \uc790\ub8cc\ub97c \uac80\uc0c9\ud558\uc9c0 \ub9d0\uace0, Thomas Calculus\uc758 \ub0b4\uc6a9\ub9cc \ubcf4\uace0 \uae4a\uc774 \uc0dd\uac01\ud55c \ud6c4 \uc790\uc2e0\uc758 \uc758\uacac\uc744 \uc11c\uc220\ud558\uc138\uc694.<\/li>\n<\/ol>\n<p><a name=\"week02\"><\/a><\/p>\n<p class=\"aligncenter margintop2 marginbottom2\">**** **** ****<\/p>\n<h3>2\uc8fc\ucc28<\/h3>\n<div class=\"box\">\n<p>2\uc8fc\ucc28 \ubb38\uc81c\uc758 \uad00\ub828 \ub2e8\uc6d0\uc740 12.5 ~ 12.6\uc808\uc785\ub2c8\ub2e4.<\/p>\n<\/div>\n<ol start=\"6\">\n<li>3\ucc28\uc6d0 \uc720\ud074\ub9ac\ub4dc \uacf5\uac04\uc5d0\uc11c \uc11c\ub85c \ub9cc\ub098\uc9c0 \uc54a\ub294 \ub450 \uc9c1\uc120\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc774\ub4e4 \ub450 \uc9c1\uc120 \uc0ac\uc774\uc758 \uac70\ub9ac\ub97c \uad6c\ud558\ub294 \uacf5\uc2dd\uc744 \ub9cc\ub4e4\uc5b4 \ubcf4\uc138\uc694. (\uc9c1\uc120\uc774 \uc8fc\uc5b4\uc84c\ub2e4\ub294 \uac83\uc740 \uc9c1\uc120\uc758 \ubc29\uc815\uc2dd\uc774 \uc8fc\uc5b4\uc84c\ub2e4\ub294 \uac83\uc744 \ub73b\ud569\ub2c8\ub2e4.) \uc774\uac83\uc744 \\(n\\)\ucc28\uc6d0 \uacf5\uac04\uc73c\ub85c \ud655\uc7a5\ud574 \ubcf4\uc138\uc694. (\ub2e8, \\(n\\)\uc740 \\(4\\) \uc774\uc0c1\uc778 \uc790\uc5f0\uc218.)<\/li>\n<li>\u2018\uace1\uc120(curve)\u2019\uc758 \uc815\uc758\ub294 \ubb34\uc5c7\uc778\uac00\uc694? \ubbf8\uc801\ubd84\ud559(\ub610\ub294 \ubbf8\ubd84\uae30\ud558\ud559)\uc758 \uad00\uc810\uc5d0\uc11c \u2018\uace1\uc120\u2019\uc744 \uc815\uc758\ud558\uace0, \uace1\uc120\uc744 \ubd84\ub958\ud574 \ubcf4\uc138\uc694.<\/li>\n<li>\ud398\uc544\ub178 \uace1\uc120(Peano curve, space filling curve)\uc758 \uc815\uc758\uc640 \uc131\uc9c8\uc744 \uc870\uc0ac\ud574 \ubcf4\uc138\uc694.<\/li>\n<li>\ud0c0\uc6d0\uba74(ellipsoid)\uc740 3\uac1c\uc758 \ucd95\uc744 \uac00\uc9c0\uace0 \uc788\uc2b5\ub2c8\ub2e4. \ud0c0\uc6d0\uba74\uc774 3\uac1c\uc758 \ucd95 \uc911 \uc5b4\ub290 \ud558\ub098\uc640 \uc218\uc9c1\uc778 \ud3c9\uba74\uacfc \ub9cc\ub09c\ub2e4\uba74 \uad50\ucc28\ud558\ub294 \ubd80\ubd84\uc740 \ud0c0\uc6d0\uc774 \ub429\ub2c8\ub2e4. \uadf8\ub807\ub2e4\uba74 \ud0c0\uc6d0\uba74\uacfc \ub9cc\ub098\ub294 \ud3c9\uba74\uc758 \ubc29\ud5a5\uacfc\ub294 \uc0c1\uad00 \uc5c6\uc774 \uad50\ucc28\ud558\ub294 \ubd80\ubd84\uc740 \ud0c0\uc6d0\uc774 \ub420\uae4c\uc694? \uc633\ub2e4\uba74 \uc99d\uba85\ud558\uace0 \ud2c0\ub9ac\ub2e4\uba74 \ubc18\ub840\ub97c \uc81c\uc2dc\ud558\uc138\uc694. (\ub2e8, \uad50\ucc28\ud558\ub294 \ubd80\ubd84\uc774 \ud55c \uc810\uc778 \uacbd\uc6b0\ub294 \uc0dd\uac01\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4.)<\/li>\n<li>\uce74\ubc1c\ub9ac\uc5d0\ub9ac\uc758 \uc6d0\ub9ac(Cavalieri&#8217;s principle)\ub97c \uc774\uc6a9\ud558\uc5ec \ud0c0\uc6d0\uba74\uc73c\ub85c \ub458\ub7ec\uc2f8\uc778 \ubd80\ubd84\uc758 \ubd80\ud53c \uad6c\ud558\ub294 \uacf5\uc2dd\uc744 \ub9cc\ub4e4\uc5b4 \ubcf4\uc138\uc694. \uadf8\ub9ac\uace0 \uadf8 \uacb0\uacfc\ub97c \\(n\\)\ucc28\uc6d0 \uacf5\uac04\uc73c\ub85c \ud655\uc7a5\ud574 \ubcf4\uc138\uc694. (\ub2e8, \\(n\\)\uc740 \\(4\\) \uc774\uc0c1\uc778 \uc790\uc5f0\uc218.)<\/li>\n<\/ol>\n<p><a name=\"week03\"><\/a><\/p>\n<p class=\"aligncenter margintop2 marginbottom2\">**** **** ****<\/p>\n<h3>3\uc8fc\ucc28<\/h3>\n<div class=\"box\">\n<p>\ub2e4\uc74c \ubb38\uc81c 11~15\uc5d0\uc11c \\(V\\)\ub294 \\(n\\)\ucc28\uc6d0 \uc720\ud074\ub9ac\ub4dc \uacf5\uac04\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4. (\\(n\\)\uc740 \\(2\\) \uc774\uc0c1\uc778 \uc790\uc5f0\uc218.) 3\uc8fc\ucc28 \ubb38\uc81c\uc758 \uad00\ub828 \ub2e8\uc6d0\uc740 13.1\uc808, 14.2\uc808\uc785\ub2c8\ub2e4.<\/p>\n<\/div>\n<ol start=\"11\">\n<li>\\(V\\)\uc758 \ub450 \uc810 \\(p,\\) \\(q\\)\uac00 \uc788\uc744 \ub54c, \\(p\\)\uc640 \\(q\\) \uc0ac\uc774\uc758 \uac70\ub9ac\ub97c \uad6c\ud558\ub294 \uacf5\uc2dd\uc744 \uae30\uc220\ud558\uc138\uc694.<\/li>\n<li>\\(D\\)\uac00 \\(V\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc774\uace0 \\(p\\in D,\\) \\(L\\in V\\)\ub77c\uace0 \ud569\uc2dc\ub2e4. \ub610\ud55c \\(f\\)\uac00 \\(D\\)\ub85c\ubd80\ud130 \\(V\\)\ub85c\uc758 \ud568\uc218\ub77c\uace0 \ud569\uc2dc\ub2e4. \uc774\ub54c \uadf9\ud55c &#8220;\\(x \\to p\\)\uc77c \ub54c \\(f(x) \\to L\\)\uc774\ub2e4&#8221;\ub97c \uc5c4\ubc00\ud558\uac8c \uc815\uc758\ud558\uc138\uc694.<\/li>\n<li>\\(D\\)\uac00 \\(V\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc774\uace0 \\(p\\in D\\)\uc774\uba70 \\(f\\)\uac00 \\(D\\)\ub85c\ubd80\ud130 \\(V\\)\ub85c\uc758 \ud568\uc218\ub77c\uace0 \ud569\uc2dc\ub2e4. \uc774\ub54c \u201c\\(f\\)\uac00 \\(p\\)\uc5d0\uc11c \uc5f0\uc18d\uc774\ub2e4\u201d\ub97c \uc5c4\ubc00\ud558\uac8c \uc815\uc758\ud558\uc138\uc694.<\/li>\n<li>\\(\\left\\{ x_k \\right\\}\\)\uac00 \\(V\\)\uc758 \uc810\ub4e4\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uc218\uc5f4\uc774\ub77c\uace0 \ud569\uc2dc\ub2e4. \uadf8\ub9ac\uace0 \\(L\\in V\\)\ub77c\uace0 \ud569\uc2dc\ub2e4. \uc774\ub54c \uadf9\ud55c \u201c\\(k \\to \\infty\\)\uc77c \ub54c \\(x_k \\to L\\)\uc774\ub2e4\u201d\ub97c \uc5c4\ubc00\ud558\uac8c \uc815\uc758\ud558\uc138\uc694.<\/li>\n<li>\\(D\\)\uac00 \\(V\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc774\uace0 \\(f\\)\uac00 \\(D\\)\ub85c\ubd80\ud130 \\(V\\)\ub85c\uc758 \ud568\uc218\uc774\uba70 \\(\\left\\{ x_k \\right\\}\\)\uac00 \\(D\\)\uc758 \uc810\ub4e4\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uc218\uc5f4\uc774\ub77c\uace0 \ud569\uc2dc\ub2e4. \uadf8\ub9ac\uace0 \\(p\\in D,\\) \\(L\\in V\\)\ub77c\uace0 \ud569\uc2dc\ub2e4. \ub9cc\uc57d \u201c\\( ( k \\to \\infty\\)\uc77c \ub54c \\(x_k \\to p)\\) \uadf8\ub9ac\uace0 \\((x \\to p\\)\uc77c \ub54c \\(f(x) \\to L)\\)\u201d\uc774\uba74 \u201c\\(k \\to \\infty\\)\uc77c \ub54c \\(f( x_k ) \\to L\\)\u201d\uc784\uc744 \uc99d\uba85\ud558\uc138\uc694.<\/li>\n<\/ol>\n<p><a name=\"week04\"><\/a><\/p>\n<p class=\"aligncenter margintop2 marginbottom2\">**** **** ****<\/p>\n<h3>4\uc8fc\ucc28<\/h3>\n<div class=\"box\">\n<p>4\uc8fc\ucc28 \ubb38\uc81c\uc758 \uad00\ub828 \ub2e8\uc6d0\uc740 6.3\uc808, 11.2\uc808, 13.1 ~ 13.3\uc808\uc785\ub2c8\ub2e4.<\/p>\n<\/div>\n<ol start=\"16\">\n<li>\\(3\\)\ucc28\uc6d0 \uc88c\ud45c\uacf5\uac04\uc5d0 \ud3c9\uba74 \\(\\gamma\\)\uac00 \uc788\uace0, \uc774 \ud3c9\uba74\uc758 \ubc95\uc120\ubca1\ud130\uac00 \uc5b4\ub290 \ucd95\uc5d0\ub3c4 \ud3c9\ud589\ud558\uc9c0 \uc54a\ub2e4\uace0 \ud569\uc2dc\ub2e4. \ub610 \uc774 \ud3c9\uba74 \uc704\uc5d0 \uc810 \\(\\mathrm{C}\\)\uac00 \ub193\uc5ec \uc788\ub2e4\uace0 \ud569\uc2dc\ub2e4. \uc774\uc81c \\(R > 0\\)\uc774\ub77c\uace0 \ud569\uc2dc\ub2e4. \uc774\ub54c \uadf8 \uadf8\ub798\ud504\uac00 \\(\\gamma\\)\uc5d0 \ub193\uc5ec \uc788\uace0 \uc911\uc2ec\uc774 \\(\\mathrm{C}\\)\uc774\uba70 \ubc18\uc9c0\ub984\uc774 \\(R\\)\uc778 \uc6d0\uc774 \ub418\ub3c4\ub85d \ubca1\ud130\ud568\uc218 \\(\\mathbb{r}\\)\ub97c \uc815\uc758\ud574 \ubcf4\uc138\uc694. (\uae40\uc218\uc5f0 \ud559\uc0dd \uc544\uc774\ub514\uc5b4\uc785\ub2c8\ub2e4.)<\/li>\n<li>\\(I\\)\uac00 \uae38\uc774\uac00 \uc591\uc218\uc778 \ub2eb\ud78c \uad6c\uac04\uc774\uace0 \ud568\uc218 \\(\\mathbb{r}\\)\uac00 \\(I\\)\ub85c\ubd80\ud130 \\(\\mathbb{R}^3\\)\ub85c\uc758 \ud568\uc218\uc774\uba70\\[\\mathbb{r} (t) = f(t) \\mathbb{i} + g(t) \\mathbb{j} + h(t) \\mathbb{k}\\]\uc758 \uaf34\ub85c \uc815\uc758\ub418\uc5c8\ub2e4\uace0 \ud569\uc2dc\ub2e4. \uc5ec\uae30\uc11c \\(f,\\) \\(g,\\) \\(h\\)\ub294 \uac01\uac01 \\(I\\)\ub85c\ubd80\ud130 \\(\\mathbb{R}\\)\ub85c\uc758 \ud568\uc218\uc785\ub2c8\ub2e4. \uc774\uc81c \\(p\\in I\\)\uc774\uace0 \\(\\mathbb{L} = \\left( L_1 ,\\, L_2 ,\\, L_3 \\right)\\)\ub77c\uace0 \ud569\uc2dc\ub2e4. \uc774\ub54c\\[\\lim_{t\\to p}\\mathbb{r}(t) = \\mathbb{L}\\]\uc77c \ud544\uc694\ucda9\ubd84\uc870\uac74\uc774 \\[\\lim_{t\\to p}f(t)=L_1 ,\\,\\, \\lim_{t\\to p}g(t)=L_2 ,\\,\\, \\lim_{t\\to p}h(t)=L_3\\]\uac00 \ubaa8\ub450 \uc131\ub9bd\ud558\ub294 \uac83\uc784\uc744 \uc99d\uba85\ud558\uc138\uc694.<\/li>\n<li>\u2018\ub9e4\ub044\ub7ec\uc6b4 \uace1\uc120(smooth curve)\u2019\uacfc \u2018\uc870\uac01\ub9c8\ub2e4 \ub9e4\ub044\ub7ec\uc6b4 \uace1\uc120(piecewise smooth curve)\u2019\uc758 \ub73b\uc744 \uae30\uc220\ud558\uace0, \uc608\ub97c \ub4e4\uc5b4 \uc124\uba85\ud558\uc138\uc694.<\/li>\n<li>\ub9e4\ub044\ub7ec\uc6b4 \uace1\uc120\uc758 \uae38\uc774\ub97c \uc5b4\ub5bb\uac8c \uc815\uc758\ud560\uae4c\uc694? \ub9e4\ub044\ub7fd\uc9c0 \uc54a\uc740 \uace1\uc120\uc758 \uae38\uc774\ub294 \uc5b4\ub5bb\uac8c \uc815\uc758\ud560\uae4c\uc694? \uc815\uc758\uc5ed\uc774 \ub2eb\ud78c \uad6c\uac04\uc778 \ub9e4\ub044\ub7ec\uc6b4 \uace1\uc120\uc758 \uae38\uc774\uac00 \ubb34\ud55c\uc77c \uc218 \uc788\uc744\uae4c\uc694? \uc815\uc758\uc5ed\uc758 \uae38\uc774\uac00 \ubb34\ud55c\ub300\uc778 \uc5f4\ub9b0 \uad6c\uac04\uc778 \ub9e4\ub044\ub7ec\uc6b4 \uace1\uc120\uc758 \uae38\uc774\uac00 \uc720\ud55c\uc77c \uc218 \uc788\uc744\uae4c\uc694? [\ub3c4\uc6c0\ub9d0: \u2018rectifiable curve\u2019\ub97c \uc870\uc0ac\ud574 \ubcf4\uc138\uc694.]<\/li>\n<li>\\(I = [0,\\,1]\\)\uc774\uace0 \\(p\\)\uac00 \uc591\uc218\uc774\uba70, \ud568\uc218 \\(f : I \\to \\mathbb{R}\\)\uac00 \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ub418\uc5c8\ub2e4\uace0 \ud569\uc2dc\ub2e4.\\[f(x) = \\begin{cases} x^p \\sin \\frac{1}{x} \\quad&#038; \\text{if} \\,\\, x > 0 \\\\ 0 \\quad&#038; \\text{if} \\,\\, x=0 \\end{cases}\\] <\/li>\n<p>\uc774\ub54c \\(f\\)\uc758 \uadf8\ub798\ud504\uc758 \uae38\uc774\uac00 \uc720\ud55c\uc774 \ub418\ub3c4\ub85d \ud558\ub294 \\(p\\)\uc758 \uac12\uc758 \ubc94\uc704\ub97c \uad6c\ud558\uc138\uc694.\n<\/ol>\n<p><a name=\"week05\"><\/a><\/p>\n<p class=\"aligncenter margintop2 marginbottom2\">**** **** ****<\/p>\n<h3>5\uc8fc\ucc28<\/h3>\n<ol start=\"21\">\n<li>\uace1\uc120\uc758 \uace1\ub960(curvature)\uacfc \ube44\ud2c0\ub9bc\ub960(torsion)\uc758 \uc815\uc758\ub97c \uae30\uc220\ud558\uace0, \ub450 \uac1c\ub150\uc774 \uae30\ud558\ud559\uc801\uc73c\ub85c \uc5b4\ub5a0\ud55c \uc758\ubbf8\ub97c \uac16\ub294\uc9c0 \uc124\uba85\ud558\uc138\uc694.<br \/>\n(\uad00\ub828 \ub2e8\uc6d0: 13.4 ~ 13.5\uc808)\n<\/li>\n<li>\uc5f4\ub9b0 \uc9d1\ud569(open set), \ub2eb\ud78c \uc9d1\ud569(closed set), \uc5f0\uacb0 \uc9d1\ud569(connected set)\uc758 \uc815\uc758\ub97c \uae30\uc220\ud558\uace0, \uc9d1\ud569\uc758 \uc5f0\uc0b0(\ud569\uc9d1\ud569, \uad50\uc9d1\ud569, \uc5ec\uc9d1\ud569)\uacfc \uad00\ub828\ub41c \uc774\ub4e4 \uc9d1\ud569\uc758 \uc131\uc9c8\uc744 \uc124\uba85\ud558\uc138\uc694.<br \/>\n(\uad00\ub828 \ub2e8\uc6d0: 14.1\uc808, \uc628\ub77c\uc778\uc5d0\uc11c \uad00\ub828 \uc815\ubcf4\ub97c \uac80\uc0c9\ud574 \ubcf4\uc138\uc694.)<\/li>\n<li>\\(U\\)\uac00 \\(\\mathbb{R}^2\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc774\uace0 \uacf5\uc9d1\ud569\uc774 \uc544\ub2c8\uba70 \uc5f0\uacb0\ub41c \uc5f4\ub9b0 \uc9d1\ud569\uc774\ub77c\uace0 \ud569\uc2dc\ub2e4. \ub610\ud55c \\(f\\)\uac00 \\(U\\)\ub85c\ubd80\ud130 \\(\\mathbb{R}\\)\ub85c\uc758 \ud568\uc218\uc774\uace0 \\(\\textbf{a} \\in U\\)\ub77c\uace0 \ud569\uc2dc\ub2e4. \uc774\ub54c \\(\\textbf{a}\\)\uc5d0\uc11c \\(f\\)\uc758 \ud3b8\ubbf8\ubd84\uc758 \uc815\uc758\ub97c \uae30\uc220\ud558\uace0, \ud3b8\ubbf8\ubd84\uacc4\uc218\uac00 \uac16\ub294 \uae30\ud558\ud559\uc801 \uc758\ubbf8\ub97c \uc124\uba85\ud558\uc138\uc694.<br \/>\n(\uad00\ub828 \ub2e8\uc6d0: 14.2 ~ 14.3\uc808)<\/li>\n<li>\ud568\uc218 \\(f\\)\uc640 \uc810 \\(\\textbf{a}\\)\uac00 \ubb38\uc81c 23\uc5d0\uc11c \uc815\uc758\ub41c \uac83\uc774\ub77c\uace0 \ud569\uc2dc\ub2e4. \ub9cc\uc57d \\(f\\)\uac00 \\(\\textbf{a}\\)\uc5d0\uc11c \ub450 \ubcc0\uc218 \ubaa8\ub450\uc5d0 \ub300\ud558\uc5ec \ud3b8\ubbf8\ubd84 \uac00\ub2a5\ud558\uba74 \\(f\\)\ub294 \\(\\textbf{a}\\)\uc5d0\uc11c \uc5f0\uc18d\uc77c\uae4c\uc694? \ub9cc\uc57d \uc544\ub2c8\ub77c\uba74 \\(f\\)\uac00 \\(\\textbf{a}\\)\uc5d0\uc11c \ud3b8\ubbf8\ubd84 \uac00\ub2a5\ud558\ub2e4\ub294 \uc870\uac74 \uc678\uc5d0 \uc5b4\ub5a0\ud55c \uc870\uac74\uc774 \ucd94\uac00\ub418\uc5b4\uc57c \\(f\\)\uac00 \\(\\textbf{a}\\)\uc5d0\uc11c \uc5f0\uc18d\uc774\ub77c\ub294 \uacb0\ub860\uc744 \ub04c\uc5b4\ub0bc \uc218 \uc788\uc744\uae4c\uc694? (\uad00\ub828 \ub2e8\uc6d0: 14.3\uc808)<\/li>\n<li>\ubcc0\uc218\uac00 1\uac1c\uc778 \uc2e4\ud568\uc218\uc758 \ubbf8\ubd84\uacc4\uc218\ub294 \ud558\ub098\uc758 \uc2e4\uc22b\uac12\uc73c\ub85c \uc815\ud574\uc9d1\ub2c8\ub2e4. \uadf8\ub807\ub2e4\uba74 \ubcc0\uc218\uac00 2\uac1c\uc778 \ud568\uc218\uc758 \ubbf8\ubd84\uacc4\uc218\ub294 \ud558\ub098\uc758 \uac12\uc73c\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\uc744\uae4c\uc694? \uac00\ub2a5\ud558\ub2e4\uba74 \uadf8 \uac12\uc740 \uc5b4\ub5bb\uac8c \uacc4\uc0b0\ud560\uae4c\uc694? \uac00\ub2a5\ud558\uc9c0 \uc54a\ub2e4\uba74 \uadf8 \uc774\uc720\ub294 \ubb34\uc5c7\uc778\uac00\uc694? \uc790\ub8cc\ub97c \uac80\uc0c9\ud558\uc9c0 \ub9d0\uace0, Thomas Calculus\uc758 \ub0b4\uc6a9\ub9cc \ubcf4\uace0 \uae4a\uc774 \uc0dd\uac01\ud55c \ud6c4 \uc790\uc2e0\uc758 \uc758\uacac\uc744 \uc11c\uc220\ud558\uc138\uc694. (\uad00\ub828 \ub2e8\uc6d0: 3.11\uc808)<\/li>\n<\/ol>\n<p><a name=\"week06\"><\/a><\/p>\n<p class=\"aligncenter margintop2 marginbottom2\">**** **** ****<\/p>\n<h3>6\uc8fc\ucc28<\/h3>\n<div class=\"box\">\n<p>6\uc8fc\ucc28 \ubb38\uc81c\uc758 \uad00\ub828 \ub2e8\uc6d0\uc740 14.4 ~ 14.5\uc808\uc785\ub2c8\ub2e4.<\/p>\n<\/div>\n<ol start=\"26\">\n<li>Thomas Calculus 14.4\uc808\uc744 \ubcf4\uba74 \ud568\uc218\uac00 \uac00\uc9c4 \ubcc0\uc218\uc758 \uac1c\uc218\uc5d0 \ub530\ub77c \uc5f0\uc1c4\ubc95\uce59\uc774 \ub2e4\ub974\uac8c \uae30\uc220\ub418\uc5b4 \uc788\uc2b5\ub2c8\ub2e4(\uc815\ub9ac 6~7). \ud568\uc218\uac00 \uac00\uc9c4 \ubcc0\uc218\uc758 \uac1c\uc218\uc5d0 \uc0c1\uad00 \uc5c6\uc774 \ud558\ub098\uc758 \uc2dd\uc73c\ub85c \uc5f0\uc1c4\ubc95\uce59\uc744 \ub098\ud0c0\ub0bc \uc218 \uc788\uc744\uae4c\uc694? \uadf8\uac83\uc774 \uac00\ub2a5\ud558\ub2e4\uba74 \uc5b4\ub5bb\uac8c \ub098\ud0c0\ub0bc\uae4c\uc694? \ubd88\uac00\ub2a5\ud558\ub2e4\uba74 \uadf8 \uc774\uc720\ub294 \ubb34\uc5c7\uc778\uac00\uc694?<\/li>\n<li>\ubc29\ud5a5\ub3c4\ud568\uc218(directional derivative)\uc758 \uc815\uc758\ub97c \uae30\uc220\ud558\uace0, \ubc29\ud5a5\ub3c4\ud568\uc218\uc758 \uae30\ud558\ud559\uc801 \uc758\ubbf8\ub97c \uc124\uba85\ud558\uc138\uc694.<\/li>\n<li>\uae30\uc6b8\uae30 \uc5f0\uc0b0(\uadf8\ub798\ub514\uc5b8\ud2b8, gradient)\uc758 \uc815\uc758\ub97c \uae30\uc220\ud558\uace0, \uae30\uc6b8\uae30 \uc5f0\uc0b0\uc758 \uae30\ud558\ud559\uc801 \uc758\ubbf8\ub97c \uc124\uba85\ud558\uc138\uc694.<\/li>\n<li>\ub2e4\uc74c \uc138 \uc870\uac74\uc744 \ubaa8\ub450 \ub9cc\uc871\uc2dc\ud0a4\ub294 \ud568\uc218 \\(f\\)\ub97c \ub9cc\ub4e4\uc5b4 \ubcf4\uc138\uc694. (i) \\(f\\)\uc758 \uc815\uc758\uc5ed\uc740 \\(\\mathbb{R}^2\\)\uc774\uace0 \uacf5\uc5ed\uc740 \\(\\mathbb{R}\\)\uc774\ub2e4. (ii) \\(f\\)\ub294 \\(\\textbf{0}\\)\uc5d0\uc11c \ubaa8\ub4e0 \ubc29\ud5a5\uc73c\ub85c \ubc29\ud5a5\ubbf8\ubd84\uacc4\uc218\ub97c \uac00\uc9c4\ub2e4. (iii) \\(f\\)\ub294 \\(\\textbf{0}\\)\uc5d0\uc11c\ub9cc \ubd88\uc5f0\uc18d\uc774\uace0 \ub2e4\ub978 \ubaa8\ub4e0 \uc810\uc5d0\uc11c\ub294 \uc5f0\uc18d\uc774\ub2e4.<\/li>\n<li>\uc815\uc758\uc5ed\uacfc \uacf5\uc5ed\uc774 \ubaa8\ub450 \ubcf5\uc18c\uc218 \uc9d1\ud569 \\(\\mathbb{C}\\)\uc778 \ud568\uc218\ub97c \ubcf5\uc18c\ud568\uc218\ub77c\uace0 \ubd80\ub985\ub2c8\ub2e4. \ubcf5\uc18c\ud568\uc218\uc758 \ubbf8\ubd84\uc740 \uc5b4\ub5bb\uac8c \uc815\uc758\ub420\uae4c\uc694? \ubcf5\uc18c\ud568\uc218\ub3c4 \ud3b8\ubbf8\ubd84\uc774\ub77c\ub294 \uac1c\ub150\uc774 \uc788\uc744\uae4c\uc694? \uad00\ub828 \ub0b4\uc6a9\uc744 \uc870\uc0ac\ud574 \ubd05\uc2dc\ub2e4.<\/li>\n<\/ol>\n<p><a name=\"week07\"><\/a><\/p>\n<p class=\"aligncenter margintop2 marginbottom2\">**** **** ****<\/p>\n<h3>7\uc8fc\ucc28<\/h3>\n<div class=\"box\">\n<p>7\uc8fc\ucc28 \ubb38\uc81c\uc758 \uad00\ub828 \ub2e8\uc6d0\uc740 13.3 ~ 13.6\uc808\uc785\ub2c8\ub2e4. \uc774\ubc88 \ubb38\uc81c\ub294 \uc5b4\ub824\uc6b4 \ud3b8\uc774\ub2c8 \uad00\ub828 \ub0b4\uc6a9\uc744 \uac80\uc0c9\ud558\uba70 \ub2f5\uc744 \ucc3e\uae30 \ubc14\ub78d\ub2c8\ub2e4. (\ubb3c\ub860, \uc9c1\uc811 \ud480\uba74 \ub354 \uc88b\uc2b5\ub2c8\ub2e4.)<\/p>\n<\/div>\n<ol start=\"31\">\n<li>\ub2e8\uc704\uc18d\ub825\uace1\uc120(unit speed curve)\uc758 \ub73b\uc744 \uc870\uc0ac\ud574 \ubcf4\uc138\uc694. \ub610\ud55c \uc5b4\ub290 \uc810\uc5d0\uc11c\ub3c4 \uc18d\ub825\uc774 \\(0\\)\uc774 \ub418\uc9c0 \uc54a\ub294 \ub9e4\ub044\ub7ec\uc6b4 \uace1\uc120\uc740 \ub2e8\uc704\uc18d\ub825\uace1\uc120\uc774 \ub418\ub3c4\ub85d \uc7ac\ub9e4\uac1c\ud654\ud560 \uc218 \uc788\uc74c\uc744 \uc99d\uba85\ud558\uc138\uc694.<\/li>\n<li>3\ucc28\uc6d0 \uacf5\uac04\uc5d0 \ub193\uc778 \uace1\uc120\uc758 \\(\\textbf{T},\\) \\(\\textbf{N},\\) \\(\\textbf{B}\\)\ub97c 4\ucc28\uc6d0 \uacf5\uac04\uc5d0 \ub193\uc778 \uace1\uc120\uc73c\ub85c \ud655\uc7a5\ud55c \uc815\uc758\ub97c \uc870\uc0ac\ud574 \ubcf4\uc138\uc694.<\/li>\n<li>3\ucc28\uc6d0 \uacf5\uac04\uc5d0 \ub193\uc778 \uace1\uc120\uc758 \uace1\ub960(\\(\\kappa\\))\uacfc \ube44\ud2c0\ub9bc\ub960(\\(\\tau\\))\uc744 4\ucc28\uc6d0 \uacf5\uac04\uc5d0 \ub193\uc778 \uace1\uc120\uc73c\ub85c \ud655\uc7a5\ud55c \uc815\uc758\ub97c \uc870\uc0ac\ud574 \ubcf4\uc138\uc694.<\/li>\n<li>3\ucc28\uc6d0 \uacf5\uac04\uc5d0 \ub193\uc778 \uace1\uc120\uc758 \ube44\ud2c0\ub9bc\ub960\uc774 \ud56d\uc0c1 \\(0\\)\uc774\uba74, \uadf8 \uace1\uc120\uc740 \ud55c \ud3c9\uba74 \uc704\uc5d0 \ub193\uc5ec \uc788\uc74c\uc744 \uc99d\uba85\ud558\uc138\uc694.<\/li>\n<li>Thomas Calculus 13.6\uc808\uc744 \ubcf4\uba74 \uadf9\uc88c\ud45c\uacc4\uac00 \uc8fc\uc5b4\uc9c4 2\ucc28\uc6d0 \uacf5\uac04(\ud3c9\uba74)\uc5d0 \ub193\uc778 \uace1\uc120\uc758 \uc18d\ub3c4\uc640 \uac00\uc18d\ub3c4\ub97c \uad6c\ud558\ub294 \uacf5\uc2dd\uc774 \uae30\uc220\ub418\uc5b4 \uc788\uc2b5\ub2c8\ub2e4. \uadf8\ub807\ub2e4\uba74 3\ucc28\uc6d0 \uacf5\uac04\uc5d0 \uad6c\uba74\uc88c\ud45c\uacc4\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc774 \uacf5\uac04\uc5d0 \ub193\uc778 \ub9e4\ub044\ub7ec\uc6b4 \uace1\uc120\uc758 \uc18d\ub3c4\uc640 \uac00\uc18d\ub3c4 \uad6c\ud558\ub294 \uacf5\uc2dd\uc740 \uc5b4\ub5bb\uac8c \ub420\uae4c\uc694?<\/li>\n<\/ol>\n<p><a name=\"week08\"><\/a><\/p>\n<p class=\"aligncenter margintop2 marginbottom2\">**** **** ****<\/p>\n<h3>8\uc8fc\ucc28<\/h3>\n<div class=\"box\">\n<p>8\uc8fc\ucc28 \ubb38\uc81c\uc758 \uad00\ub828 \ub2e8\uc6d0\uc740 14.5 ~ 14.7\uc808\uc785\ub2c8\ub2e4.<\/p>\n<\/div>\n<ol start=\"36\">\n<li>\uad6d\uc18c\uadf9\uac12(local extremum)\uacfc \uc808\ub300\uadf9\uac12(absolute extremum)\uc744 \uc815\uc758\ub97c \uae30\uc220\ud558\uace0, \uc608\ub97c \ub4e4\uc5b4 \uc124\uba85\ud558\uc138\uc694.<\/li>\n<li>\\(D\\)\uac00 \uacf5\uc9d1\ud569\uc774 \uc544\ub2cc \uc720\ud55c\uc9d1\ud569\uc774\uace0 \\(\\mathbb{R}^2\\)\uc758 \ubd80\ubd84\uc9d1\ud569\uc774\uba70 \\(f\\)\uac00 \\(D\\)\uc5d0\uc11c \uc815\uc758\ub41c \uc2e4\uc22b\uac12 \ud568\uc218\ub77c\uace0 \ud569\uc2dc\ub2e4. \ub2e4\uc74c \ubb38\uc7a5\uc740 \ucc38\uc77c\uae4c\uc694, \uac70\uc9d3\uc77c\uae4c\uc694: \u201c\\(f\\)\ub294 \\(D\\)\uc758 \ubaa8\ub4e0 \uc810\uc5d0\uc11c \uad6d\uc18c\uadf9\ub313\uac12\uacfc \uad6d\uc18c\uadf9\uc19f\uac12\uc744 \uac00\uc9c4\ub2e4.\u201d \ucc38\uc774\uba74 \uc99d\uba85\ud558\uace0, \uac70\uc9d3\uc774\uba74 \uadf8 \uc774\uc720\ub97c \uc124\uba85\ud558\uc138\uc694.<\/li>\n<li>\\(\\mathbb{Q}\\)\uac00 \ubaa8\ub4e0 \uc720\ub9ac\uc218\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uc9d1\ud569\uc774\uace0, \ud568\uc218 \\(f : \\mathbb{Q} \\rightarrow \\mathbb{R}\\)\uac00 \\(f(x) = \\cos x\\)\ub85c \uc815\uc758\ub418\uc5b4 \uc788\ub2e4\uace0 \ud569\uc2dc\ub2e4. \uc774\ub54c \\(f\\)\ub294 \uc5b4\ub514\uc5d0\uc11c \uadf9\uac12\uc744 \uac00\uc9c8\uae4c\uc694? \\(f\\)\uac00 \uadf9\uac12\uc744 \uac16\ub294 \uc810(\uc815\uc758\uc5ed\uc758 \uc6d0\uc18c)\uc744 \ubaa8\ub450 \uad6c\ud558\uc138\uc694. <\/li>\n<li>\ud568\uc218 \\(f\\)\uac00 \uc2e4\ud568\uc218\uc774\uace0 \\(a\\)\uc5d0\uc11c \ubbf8\ubd84 \uac00\ub2a5\ud560 \ub54c, \\(a\\)\uc5d0\uc11c \\(f\\)\uc758 \uc77c\ucc28\uadfc\uc0ac\ud568\uc218(linear approximation)\ub97c \ub2e4\uc74c\uacfc \uac19\uc774 \uc815\uc758\ud569\ub2c8\ub2e4.\\[L(x)=f(a) + f &#8216; (a) (x-a)\\]\ub9cc\uc57d \\(f\\)\uac00 \uc2e4\uc22b\uac12\uc744 \uac16\ub294 \uc774\ubcc0\uc218\ud568\uc218\ub77c\uba74 \\(f\\)\uc758 \uc77c\ucc28\uadfc\uc0ac\ud568\uc218\ub97c \uc5b4\ub5bb\uac8c \uc815\uc758\ud560\uae4c\uc694? \uc989 \\(D\\)\uac00 \\(\\mathbb{R}^2\\)\uc758 \uc5f4\ub9b0\ubd80\ubd84\uc9d1\ud569\uc774\uace0 \\(\\textbf{p}=\\left( x_0 ,\\, y_0 \\right)\\in D\\)\uc774\uba70 \\(f : U \\rightarrow \\mathbb{R}\\)\uac00 \\(\\textbf{p}\\)\uc5d0\uc11c \ubbf8\ubd84 \uac00\ub2a5\ud560 \ub54c \\(\\textbf{p}\\)\uc5d0\uc11c \\(f\\)\uc758 \uc77c\ucc28\uadfc\uc0ac\ud568\uc218\ub97c \uc5b4\ub5bb\uac8c \uc815\uc758\ud560\uae4c\uc694?<\/li>\n<li>\uc2e4\uc22b\uac12\uc744 \uac16\ub294 \uc774\ubcc0\uc218\ud568\uc218 \\(f\\)\uac00 \\(\\textbf{p}\\)\ub97c \uc6d0\uc18c\ub85c \uac16\ub294 \ud55c \uc5f4\ub9b0\uc9d1\ud569\uc5d0\uc11c \uc5f0\uc18d\uc778 \uc774\uacc4\ud3b8\ub3c4\ud568\uc218\ub97c \uac00\uc9c8 \ub54c, \\(\\textbf{p}\\)\uc5d0\uc11c \\(f\\)\uc758 \uc774\ucc28\uadfc\uc0ac\ud568\uc218(quadratic approximation)\ub97c \uc5b4\ub5bb\uac8c \uc815\uc758\ud560\uae4c\uc694?<\/li>\n<\/ol>\n<p><!-- p>\ub0b4\uace0 \uc2f6\uc740 \ubb38\uc81c\uac00 \ub9ce\uc740\ub370, \uc774\ubc88\uc5d0\ub3c4 \ub2e4\uc12f \ubb38\uc81c\ub9cc \ub0c5\ub2c8\ub2e4. \ub2e4\uc74c\uc8fc\ub3c4 \uc788\uc73c\ub2c8\uae4c\uc694. \uc6b0\ub9ac \ubaa8\ub450 \uc0c8\ub85c\uc6b4 \ud55c \uc8fc \uba4b\uc9c0\uac8c \ubcf4\ub0c5\uc2dc\ub2e4!< \/p --><\/p>\n<p><!--\n\n<a name=\"week0n\"><\/a>\n\n\n<p class=\"aligncenter margintop2 marginbottom2\">**** **** ****<\/p>\n\n\n\n\n\n<h3>n\uc8fc\ucc28<\/h3>\n\n\n\n\n<ol start=\"41\">\n\n\n<li><\/li>\n\n\n\n\n<li><\/li>\n\n\n\n\n<li><\/li>\n\n\n\n\n<li><\/li>\n\n\n\n\n<li><\/li>\n\n\n<\/ol>\n\n\n--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u2018\uc790\uae30\uc8fc\ub3c4\uc801 \ud559\uc2b5 \uacfc\uc81c\u2019\ub294 \uc2a4\uc2a4\ub85c \uacf5\ubd80\ud558\ub294 \ud559\uc0dd\ub4e4\uc5d0\uac8c \ud559\uc2b5\uc758 \ubc29\ud5a5\uc744 \uc548\ub0b4\ud574\uc8fc\uae30 \uc704\ud55c \ubb38\uc81c\uc785\ub2c8\ub2e4. \ub9e4\uc8fc 5\ubb38\uc81c\uac00 \uc81c\uacf5\ub429\ub2c8\ub2e4. Thomas Calculus \uad00\ub828 \ub2e8\uc6d0\uc744 \uacf5\ubd80\ud55c \ud6c4 \ucda9\ubd84\ud788 \uc0dd\uac01\ud558\uba74\uc11c \ubb38\uc81c\ub97c \ud480\uc5b4\ubcf4\uc138\uc694. \uc5ec\ub7ec\ubd84\uc758 \uc2e4\ub825 \ud5a5\uc0c1\uc5d0 \ub3c4\uc6c0\uc774 \ub420 \uac83\uc785\ub2c8\ub2e4. **** **** **** 1\uc8fc\ucc28 1\uc8fc\ucc28 \ubb38\uc81c\uc758 \uad00\ub828 \ub2e8\uc6d0\uc740 12.1 ~ 12.4\uc808\uc785\ub2c8\ub2e4. \u2018\uc720\ud074\ub9ac\ub4dc \uacf5\uac04\u2019\uc758 \uc815\uc758\ub294 \ubb34\uc5c7\uc778\uac00\uc694? \uc218\ud559\uc5d0\uc11c \u2018\uacf5\uac04(space)\u2019\uc774\ub780 \uc5b4\ub5a4 \uc758\ubbf8\ub97c \uac16\ub098\uc694? \u2018\uacf5\uac04\uc744 \uc815\uc758\ud55c\ub2e4\u2019\ub77c\ub294 \uac83\uc740 \ubb34\uc2a8 \ub73b\uc778\uac00\uc694? Thomas Calculus\uc5d0\uc11c\ub294 \uc720\ud074\ub9ac\ub4dc \uacf5\uac04\uc5d0\uc11c \ubca1\ud130\uc758 \ub0b4\uc801(inner product)\uc744 \uae30\ud558\ud559\uc801 \ubc29\ubc95\uc73c\ub85c&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"","_lmt_disable":"","footnotes":""},"categories":[47],"tags":[],"class_list":["post-4367","post","type-post","status-publish","format-standard","hentry","category-calculus-ap"],"_links":{"self":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/posts\/4367","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/comments?post=4367"}],"version-history":[{"count":60,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/posts\/4367\/revisions"}],"predecessor-version":[{"id":4692,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/posts\/4367\/revisions\/4692"}],"wp:attachment":[{"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/media?parent=4367"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/categories?post=4367"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sasamath.com\/blog\/wp-json\/wp\/v2\/tags?post=4367"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}