diff --git a/doc/pub/week35/html/._week35-bs010.html b/doc/pub/week35/html/._week35-bs010.html
index a62fea7b4..182f6bb0f 100644
--- a/doc/pub/week35/html/._week35-bs010.html
+++ b/doc/pub/week35/html/._week35-bs010.html
@@ -381,10 +381,10 @@ $$
 
 <p>which means that (using our previous example) we have</p>
 $$
-\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=bm{A}^T\boldsymbol{y}.
+\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=\boldsymbol{A}^T\boldsymbol{y}.
 $$
 
-<p>Note that the resulting vector elements are the same for \( \boldsymbol{z}^T \) and \( \boldsymbol{z} \), the only difference is that one if just the transpose of the other.</p>
+<p>Note that the resulting vector elements are the same for \( \boldsymbol{z}^T \) and \( \boldsymbol{z} \), the only difference is that one is just the transpose of the other.</p>
 
 <p>Since \( \alpha \) is a scalar we have \( \alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y} \). Defining now \( \boldsymbol{z}=\boldsymbol{x}^T\boldsymbol{A}^T \) we find that</p>
 $$
diff --git a/doc/pub/week35/html/week35-reveal.html b/doc/pub/week35/html/week35-reveal.html
index 8c089a4a5..55f07a32b 100644
--- a/doc/pub/week35/html/week35-reveal.html
+++ b/doc/pub/week35/html/week35-reveal.html
@@ -539,11 +539,11 @@ $$
 <p>which means that (using our previous example) we have</p>
 <p>&nbsp;<br>
 $$
-\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=bm{A}^T\boldsymbol{y}.
+\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=\boldsymbol{A}^T\boldsymbol{y}.
 $$
 <p>&nbsp;<br>
 
-<p>Note that the resulting vector elements are the same for \( \boldsymbol{z}^T \) and \( \boldsymbol{z} \), the only difference is that one if just the transpose of the other.</p>
+<p>Note that the resulting vector elements are the same for \( \boldsymbol{z}^T \) and \( \boldsymbol{z} \), the only difference is that one is just the transpose of the other.</p>
 
 <p>Since \( \alpha \) is a scalar we have \( \alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y} \). Defining now \( \boldsymbol{z}=\boldsymbol{x}^T\boldsymbol{A}^T \) we find that</p>
 <p>&nbsp;<br>
diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html
index 3ec226ea1..515785c60 100644
--- a/doc/pub/week35/html/week35-solarized.html
+++ b/doc/pub/week35/html/week35-solarized.html
@@ -603,10 +603,10 @@ $$
 
 <p>which means that (using our previous example) we have</p>
 $$
-\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=bm{A}^T\boldsymbol{y}.
+\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=\boldsymbol{A}^T\boldsymbol{y}.
 $$
 
-<p>Note that the resulting vector elements are the same for \( \boldsymbol{z}^T \) and \( \boldsymbol{z} \), the only difference is that one if just the transpose of the other.</p>
+<p>Note that the resulting vector elements are the same for \( \boldsymbol{z}^T \) and \( \boldsymbol{z} \), the only difference is that one is just the transpose of the other.</p>
 
 <p>Since \( \alpha \) is a scalar we have \( \alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y} \). Defining now \( \boldsymbol{z}=\boldsymbol{x}^T\boldsymbol{A}^T \) we find that</p>
 $$
diff --git a/doc/pub/week35/html/week35.html b/doc/pub/week35/html/week35.html
index ae8a0743a..2c7037166 100644
--- a/doc/pub/week35/html/week35.html
+++ b/doc/pub/week35/html/week35.html
@@ -680,10 +680,10 @@ $$
 
 <p>which means that (using our previous example) we have</p>
 $$
-\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=bm{A}^T\boldsymbol{y}.
+\frac{\partial \alpha}{\partial \boldsymbol{x}} = \boldsymbol{z}=\boldsymbol{A}^T\boldsymbol{y}.
 $$
 
-<p>Note that the resulting vector elements are the same for \( \boldsymbol{z}^T \) and \( \boldsymbol{z} \), the only difference is that one if just the transpose of the other.</p>
+<p>Note that the resulting vector elements are the same for \( \boldsymbol{z}^T \) and \( \boldsymbol{z} \), the only difference is that one is just the transpose of the other.</p>
 
 <p>Since \( \alpha \) is a scalar we have \( \alpha =\alpha^T=\boldsymbol{x}^T\boldsymbol{A}^T\boldsymbol{y} \). Defining now \( \boldsymbol{z}=\boldsymbol{x}^T\boldsymbol{A}^T \) we find that</p>
 $$
diff --git a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz
index 93fd46de8..da3b73fcf 100644
Binary files a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz and b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz differ
diff --git a/doc/pub/week35/ipynb/week35.ipynb b/doc/pub/week35/ipynb/week35.ipynb
index ce308ef85..3396b3f76 100644
--- a/doc/pub/week35/ipynb/week35.ipynb
+++ b/doc/pub/week35/ipynb/week35.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "0e8171d8",
+   "id": "0cc8798d",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d54fb4b6",
+   "id": "da5efe21",
    "metadata": {
     "editable": true
    },
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "359ef523",
+   "id": "8a9facf6",
    "metadata": {
     "editable": true
    },
@@ -49,7 +49,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "76ab9350",
+   "id": "0fe93a22",
    "metadata": {
     "editable": true
    },
@@ -67,7 +67,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "231f16d6",
+   "id": "88c554b6",
    "metadata": {
     "editable": true
    },
@@ -101,7 +101,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a163dea4",
+   "id": "cac03766",
    "metadata": {
     "editable": true
    },
@@ -117,7 +117,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e30d7141",
+   "id": "9ff9b1d8",
    "metadata": {
     "editable": true
    },
@@ -129,7 +129,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1e391e10",
+   "id": "65e2020b",
    "metadata": {
     "editable": true
    },
@@ -139,7 +139,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "440e1f2a",
+   "id": "2c1af26e",
    "metadata": {
     "editable": true
    },
@@ -151,7 +151,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f920c69",
+   "id": "f324d64b",
    "metadata": {
     "editable": true
    },
@@ -172,7 +172,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "179c4cba",
+   "id": "125dcb74",
    "metadata": {
     "editable": true
    },
@@ -184,7 +184,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82d6dd48",
+   "id": "5c9da59d",
    "metadata": {
     "editable": true
    },
@@ -197,7 +197,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb67db20",
+   "id": "a5afa34c",
    "metadata": {
     "editable": true
    },
@@ -209,7 +209,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "406fe296",
+   "id": "2022e4f2",
    "metadata": {
     "editable": true
    },
@@ -221,7 +221,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ca59383",
+   "id": "eda7900c",
    "metadata": {
     "editable": true
    },
@@ -231,7 +231,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "59b8cb83",
+   "id": "d3a51876",
    "metadata": {
     "editable": true
    },
@@ -243,7 +243,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e10e269",
+   "id": "b2e04c71",
    "metadata": {
     "editable": true
    },
@@ -256,7 +256,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c8f4a461",
+   "id": "0e554907",
    "metadata": {
     "editable": true
    },
@@ -268,7 +268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8299a747",
+   "id": "41558215",
    "metadata": {
     "editable": true
    },
@@ -278,7 +278,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3adcb3e",
+   "id": "4345873f",
    "metadata": {
     "editable": true
    },
@@ -290,7 +290,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a48bfab5",
+   "id": "12d50cdd",
    "metadata": {
     "editable": true
    },
@@ -302,7 +302,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "87754669",
+   "id": "54045737",
    "metadata": {
     "editable": true
    },
@@ -313,7 +313,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c4980f00",
+   "id": "7c53c69e",
    "metadata": {
     "editable": true
    },
@@ -325,7 +325,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a1adcd3",
+   "id": "6d3e0fad",
    "metadata": {
     "editable": true
    },
@@ -344,7 +344,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d4dd262",
+   "id": "1818740e",
    "metadata": {
     "editable": true
    },
@@ -357,7 +357,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2215a906",
+   "id": "5d5a8b34",
    "metadata": {
     "editable": true
    },
@@ -367,7 +367,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d293ee98",
+   "id": "c9675043",
    "metadata": {
     "editable": true
    },
@@ -379,7 +379,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc42ead9",
+   "id": "f0a1bb02",
    "metadata": {
     "editable": true
    },
@@ -389,7 +389,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb13cd8b",
+   "id": "33b1e69b",
    "metadata": {
     "editable": true
    },
@@ -401,7 +401,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fc02a912",
+   "id": "5d862732",
    "metadata": {
     "editable": true
    },
@@ -411,7 +411,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "82afab7b",
+   "id": "0d923d08",
    "metadata": {
     "editable": true
    },
@@ -423,7 +423,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "843ade9a",
+   "id": "f5f5d0d8",
    "metadata": {
     "editable": true
    },
@@ -434,7 +434,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e955afa1",
+   "id": "63ce888f",
    "metadata": {
     "editable": true
    },
@@ -446,7 +446,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "61e860cd",
+   "id": "ac657932",
    "metadata": {
     "editable": true
    },
@@ -456,7 +456,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "93d2b6e6",
+   "id": "acf875f2",
    "metadata": {
     "editable": true
    },
@@ -468,7 +468,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "adfd7e62",
+   "id": "cb877b14",
    "metadata": {
     "editable": true
    },
@@ -478,7 +478,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1663846c",
+   "id": "e8a4ea75",
    "metadata": {
     "editable": true
    },
@@ -490,7 +490,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12dd4571",
+   "id": "c335f569",
    "metadata": {
     "editable": true
    },
@@ -510,7 +510,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57f81768",
+   "id": "a05d5f2e",
    "metadata": {
     "editable": true
    },
@@ -537,7 +537,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f129030",
+   "id": "ef316a3d",
    "metadata": {
     "editable": true
    },
@@ -549,7 +549,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c35b0ba",
+   "id": "a1a9f56e",
    "metadata": {
     "editable": true
    },
@@ -561,7 +561,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "162c4ffd",
+   "id": "56b2181f",
    "metadata": {
     "editable": true
    },
@@ -577,7 +577,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "84eee206",
+   "id": "0089ad66",
    "metadata": {
     "editable": true
    },
@@ -595,7 +595,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "832f9fc3",
+   "id": "50288504",
    "metadata": {
     "editable": true
    },
@@ -607,7 +607,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "43a78640",
+   "id": "74f24d00",
    "metadata": {
     "editable": true
    },
@@ -619,7 +619,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7fbfd556",
+   "id": "2b45a174",
    "metadata": {
     "editable": true
    },
@@ -630,7 +630,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f0b01c52",
+   "id": "f4a369c7",
    "metadata": {
     "editable": true
    },
@@ -642,7 +642,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fb5c1bd7",
+   "id": "2e455193",
    "metadata": {
     "editable": true
    },
@@ -652,7 +652,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9a0a695d",
+   "id": "b2933c3d",
    "metadata": {
     "editable": true
    },
@@ -664,7 +664,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "87e15057",
+   "id": "0b10ad24",
    "metadata": {
     "editable": true
    },
@@ -678,7 +678,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fca1498a",
+   "id": "7472889a",
    "metadata": {
     "editable": true
    },
@@ -690,7 +690,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b8c63be2",
+   "id": "419fc6a1",
    "metadata": {
     "editable": true
    },
@@ -702,7 +702,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ddd0ffc",
+   "id": "48267c0e",
    "metadata": {
     "editable": true
    },
@@ -714,7 +714,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "509d2ab6",
+   "id": "026ff83a",
    "metadata": {
     "editable": true
    },
@@ -724,31 +724,31 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb492979",
+   "id": "8de2adcf",
    "metadata": {
     "editable": true
    },
    "source": [
     "$$\n",
-    "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\boldsymbol{z}=bm{A}^T\\boldsymbol{y}.\n",
+    "\\frac{\\partial \\alpha}{\\partial \\boldsymbol{x}} = \\boldsymbol{z}=\\boldsymbol{A}^T\\boldsymbol{y}.\n",
     "$$"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "ca02a149",
+   "id": "cae41745",
    "metadata": {
     "editable": true
    },
    "source": [
-    "Note that the resulting vector elements are the same for $\\boldsymbol{z}^T$ and $\\boldsymbol{z}$, the only difference is that one if just the transpose of the other.\n",
+    "Note that the resulting vector elements are the same for $\\boldsymbol{z}^T$ and $\\boldsymbol{z}$, the only difference is that one is just the transpose of the other.\n",
     "\n",
     "Since $\\alpha$ is a scalar we have $\\alpha =\\alpha^T=\\boldsymbol{x}^T\\boldsymbol{A}^T\\boldsymbol{y}$. Defining now $\\boldsymbol{z}=\\boldsymbol{x}^T\\boldsymbol{A}^T$ we find that"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "782c5c3d",
+   "id": "aefb1de0",
    "metadata": {
     "editable": true
    },
@@ -760,7 +760,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "749d69a8",
+   "id": "7c48017e",
    "metadata": {
     "editable": true
    },
@@ -774,7 +774,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e2910da5",
+   "id": "cd9531e1",
    "metadata": {
     "editable": true
    },
@@ -786,7 +786,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "effa9035",
+   "id": "2a51643c",
    "metadata": {
     "editable": true
    },
@@ -798,7 +798,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "89e33e6e",
+   "id": "5797072d",
    "metadata": {
     "editable": true
    },
@@ -810,7 +810,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a0e8a3b",
+   "id": "49f48019",
    "metadata": {
     "editable": true
    },
@@ -820,7 +820,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12119d38",
+   "id": "e32fded3",
    "metadata": {
     "editable": true
    },
@@ -832,7 +832,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b8e2462f",
+   "id": "06a95180",
    "metadata": {
     "editable": true
    },
@@ -842,7 +842,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba9fdb35",
+   "id": "7486bc1a",
    "metadata": {
     "editable": true
    },
@@ -854,7 +854,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac7406a7",
+   "id": "ceccd894",
    "metadata": {
     "editable": true
    },
@@ -864,7 +864,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "01329146",
+   "id": "623da8cd",
    "metadata": {
     "editable": true
    },
@@ -876,7 +876,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3575ca3b",
+   "id": "95f0b356",
    "metadata": {
     "editable": true
    },
@@ -888,7 +888,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bda9dbe5",
+   "id": "6f17b240",
    "metadata": {
     "editable": true
    },
@@ -900,7 +900,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a50cda13",
+   "id": "468c5563",
    "metadata": {
     "editable": true
    },
@@ -915,7 +915,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98a5bfd3",
+   "id": "8936d5d5",
    "metadata": {
     "editable": true
    },
@@ -927,7 +927,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "29825b92",
+   "id": "22b0f678",
    "metadata": {
     "editable": true
    },
@@ -937,7 +937,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98cd166a",
+   "id": "d266b672",
    "metadata": {
     "editable": true
    },
@@ -949,7 +949,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac113691",
+   "id": "35b94dd8",
    "metadata": {
     "editable": true
    },
@@ -959,7 +959,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4885434d",
+   "id": "a2a5a371",
    "metadata": {
     "editable": true
    },
@@ -971,7 +971,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0be054ab",
+   "id": "d3524468",
    "metadata": {
     "editable": true
    },
@@ -981,7 +981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "56bd4473",
+   "id": "981b36ff",
    "metadata": {
     "editable": true
    },
@@ -993,7 +993,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7696e03",
+   "id": "0cd35260",
    "metadata": {
     "editable": true
    },
@@ -1005,7 +1005,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52b3aee8",
+   "id": "91f31dc4",
    "metadata": {
     "editable": true
    },
@@ -1017,7 +1017,7 @@
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@@ -1027,7 +1027,7 @@
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@@ -1039,7 +1039,7 @@
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@@ -1052,7 +1052,7 @@
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@@ -1064,7 +1064,7 @@
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@@ -1074,7 +1074,7 @@
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@@ -1086,7 +1086,7 @@
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@@ -1096,7 +1096,7 @@
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@@ -1108,7 +1108,7 @@
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@@ -1118,7 +1118,7 @@
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@@ -1130,7 +1130,7 @@
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@@ -1140,7 +1140,7 @@
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@@ -1152,7 +1152,7 @@
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@@ -1162,7 +1162,7 @@
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@@ -1174,7 +1174,7 @@
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@@ -1186,7 +1186,7 @@
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@@ -1198,7 +1198,7 @@
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@@ -1210,7 +1210,7 @@
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@@ -1222,7 +1222,7 @@
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@@ -1238,7 +1238,7 @@
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@@ -1250,7 +1250,7 @@
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@@ -1260,7 +1260,7 @@
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@@ -1272,7 +1272,7 @@
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@@ -1290,7 +1290,7 @@
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@@ -1302,7 +1302,7 @@
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@@ -1314,7 +1314,7 @@
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@@ -1324,7 +1324,7 @@
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@@ -1336,7 +1336,7 @@
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@@ -1346,7 +1346,7 @@
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@@ -1358,7 +1358,7 @@
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@@ -1368,7 +1368,7 @@
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@@ -1382,7 +1382,7 @@
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@@ -1394,7 +1394,7 @@
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@@ -1405,7 +1405,7 @@
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@@ -1418,7 +1418,7 @@
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@@ -1445,7 +1445,7 @@
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@@ -1456,7 +1456,7 @@
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@@ -1469,7 +1469,7 @@
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@@ -1483,7 +1483,7 @@
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@@ -1496,7 +1496,7 @@
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@@ -1507,7 +1507,7 @@
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@@ -1519,7 +1519,7 @@
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@@ -1530,7 +1530,7 @@
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@@ -1546,7 +1546,7 @@
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@@ -1557,7 +1557,7 @@
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@@ -1571,7 +1571,7 @@
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@@ -1592,7 +1592,7 @@
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@@ -1603,7 +1603,7 @@
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@@ -1656,7 +1656,7 @@
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@@ -1667,7 +1667,7 @@
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@@ -1692,7 +1692,7 @@
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@@ -1704,7 +1704,7 @@
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@@ -1733,7 +1733,7 @@
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@@ -1758,7 +1758,7 @@
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@@ -1778,7 +1778,7 @@
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@@ -1805,7 +1805,7 @@
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@@ -1818,7 +1818,7 @@
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@@ -1830,7 +1830,7 @@
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@@ -1841,7 +1841,7 @@
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@@ -1857,7 +1857,7 @@
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@@ -1891,7 +1891,7 @@
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@@ -1901,7 +1901,7 @@
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@@ -1916,7 +1916,7 @@
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@@ -1928,7 +1928,7 @@
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@@ -1938,7 +1938,7 @@
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@@ -1954,7 +1954,7 @@
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@@ -1971,7 +1971,7 @@
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@@ -1984,7 +1984,7 @@
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@@ -2031,7 +2031,7 @@
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@@ -2042,7 +2042,7 @@
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@@ -2145,7 +2145,7 @@
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@@ -2173,7 +2173,7 @@
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@@ -2208,7 +2208,7 @@
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@@ -2223,7 +2223,7 @@
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@@ -2248,7 +2248,7 @@
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@@ -2264,7 +2264,7 @@
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@@ -2276,7 +2276,7 @@
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@@ -2291,7 +2291,7 @@
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@@ -2303,7 +2303,7 @@
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@@ -2313,7 +2313,7 @@
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@@ -2325,7 +2325,7 @@
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@@ -2335,7 +2335,7 @@
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@@ -2347,7 +2347,7 @@
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@@ -2360,7 +2360,7 @@
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@@ -2372,7 +2372,7 @@
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@@ -2382,7 +2382,7 @@
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@@ -2394,7 +2394,7 @@
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@@ -2404,7 +2404,7 @@
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@@ -2416,7 +2416,7 @@
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@@ -2426,7 +2426,7 @@
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@@ -2438,7 +2438,7 @@
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@@ -2448,7 +2448,7 @@
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@@ -2460,7 +2460,7 @@
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@@ -2470,7 +2470,7 @@
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@@ -2482,7 +2482,7 @@
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@@ -2492,7 +2492,7 @@
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@@ -2504,7 +2504,7 @@
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@@ -2516,7 +2516,7 @@
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@@ -2528,7 +2528,7 @@
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@@ -2541,7 +2541,7 @@
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@@ -2553,7 +2553,7 @@
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@@ -2563,7 +2563,7 @@
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@@ -2577,7 +2577,7 @@
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@@ -2674,7 +2674,7 @@
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@@ -2695,7 +2695,7 @@
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@@ -2707,7 +2707,7 @@
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@@ -2717,7 +2717,7 @@
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@@ -2729,7 +2729,7 @@
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@@ -2739,7 +2739,7 @@
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@@ -2751,7 +2751,7 @@
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@@ -2767,7 +2767,7 @@
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@@ -2777,7 +2777,7 @@
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@@ -2791,7 +2791,7 @@
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@@ -2803,7 +2803,7 @@
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@@ -2815,7 +2815,7 @@
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@@ -2827,7 +2827,7 @@
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@@ -2837,7 +2837,7 @@
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@@ -2849,7 +2849,7 @@
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@@ -2859,7 +2859,7 @@
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@@ -2871,7 +2871,7 @@
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@@ -2882,7 +2882,7 @@
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@@ -2894,7 +2894,7 @@
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@@ -2906,7 +2906,7 @@
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@@ -2916,7 +2916,7 @@
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@@ -2928,7 +2928,7 @@
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@@ -2940,7 +2940,7 @@
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@@ -2950,7 +2950,7 @@
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@@ -2962,7 +2962,7 @@
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@@ -2972,7 +2972,7 @@
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@@ -2984,7 +2984,7 @@
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@@ -2994,7 +2994,7 @@
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@@ -3034,7 +3034,7 @@
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@@ -3051,7 +3051,7 @@
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@@ -3074,7 +3074,7 @@
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@@ -3091,7 +3091,7 @@
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@@ -3110,7 +3110,7 @@
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@@ -3121,7 +3121,7 @@
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@@ -3133,7 +3133,7 @@
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@@ -3151,7 +3151,7 @@
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@@ -3167,7 +3167,7 @@
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@@ -3179,7 +3179,7 @@
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@@ -3189,7 +3189,7 @@
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@@ -3204,7 +3204,7 @@
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@@ -3216,7 +3216,7 @@
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@@ -3226,7 +3226,7 @@
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@@ -3238,7 +3238,7 @@
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@@ -3248,7 +3248,7 @@
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@@ -3260,7 +3260,7 @@
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@@ -3272,7 +3272,7 @@
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@@ -3287,7 +3287,7 @@
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@@ -3298,7 +3298,7 @@
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@@ -3318,7 +3318,7 @@
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@@ -3330,7 +3330,7 @@
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@@ -3340,7 +3340,7 @@
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@@ -3352,7 +3352,7 @@
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@@ -3381,7 +3381,7 @@
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@@ -3408,7 +3408,7 @@
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@@ -3419,7 +3419,7 @@
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@@ -3459,7 +3459,7 @@
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@@ -3476,7 +3476,7 @@
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@@ -3499,7 +3499,7 @@
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@@ -3513,7 +3513,7 @@
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@@ -3532,7 +3532,7 @@
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@@ -3542,7 +3542,7 @@
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@@ -3554,7 +3554,7 @@
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@@ -3568,7 +3568,7 @@
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@@ -3580,7 +3580,7 @@
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@@ -3590,7 +3590,7 @@
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@@ -3602,7 +3602,7 @@
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@@ -3619,7 +3619,7 @@
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@@ -3629,7 +3629,7 @@
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@@ -3645,7 +3645,7 @@
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@@ -3655,7 +3655,7 @@
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@@ -3671,7 +3671,7 @@
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@@ -3681,7 +3681,7 @@
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@@ -3697,7 +3697,7 @@
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@@ -3707,7 +3707,7 @@
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@@ -3724,7 +3724,7 @@
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@@ -3736,7 +3736,7 @@
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@@ -3748,7 +3748,7 @@
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@@ -3760,7 +3760,7 @@
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@@ -3770,7 +3770,7 @@
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@@ -3782,7 +3782,7 @@
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@@ -3794,7 +3794,7 @@
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@@ -3806,7 +3806,7 @@
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@@ -3816,7 +3816,7 @@
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@@ -3828,7 +3828,7 @@
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@@ -3838,7 +3838,7 @@
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@@ -3850,7 +3850,7 @@
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@@ -3866,7 +3866,7 @@
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@@ -3878,7 +3878,7 @@
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@@ -3890,7 +3890,7 @@
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@@ -3900,7 +3900,7 @@
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@@ -3912,7 +3912,7 @@
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@@ -3923,7 +3923,7 @@
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@@ -3935,7 +3935,7 @@
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@@ -3945,7 +3945,7 @@
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@@ -3957,7 +3957,7 @@
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@@ -3967,7 +3967,7 @@
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@@ -3979,7 +3979,7 @@
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@@ -3990,7 +3990,7 @@
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@@ -4002,7 +4002,7 @@
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@@ -4020,7 +4020,7 @@
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@@ -4451,7 +4451,7 @@
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@@ -4472,7 +4472,7 @@
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@@ -4489,7 +4489,7 @@
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@@ -4521,7 +4521,7 @@
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@@ -4535,7 +4535,7 @@
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@@ -4548,7 +4548,7 @@
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@@ -4573,7 +4573,7 @@
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@@ -4583,7 +4583,7 @@
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@@ -4677,7 +4677,7 @@
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@@ -4726,7 +4726,7 @@
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@@ -4741,7 +4741,7 @@
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@@ -4751,7 +4751,7 @@
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@@ -4765,7 +4765,7 @@
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@@ -4777,7 +4777,7 @@
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@@ -4789,7 +4789,7 @@
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@@ -4801,7 +4801,7 @@
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@@ -4811,7 +4811,7 @@
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@@ -4823,7 +4823,7 @@
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@@ -4833,7 +4833,7 @@
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@@ -4850,7 +4850,7 @@
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@@ -4860,7 +4860,7 @@
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@@ -4872,7 +4872,7 @@
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@@ -4908,7 +4908,7 @@
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@@ -4920,7 +4920,7 @@
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@@ -4942,7 +4942,7 @@
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@@ -4969,7 +4969,7 @@
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@@ -4981,7 +4981,7 @@
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@@ -4993,7 +4993,7 @@
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@@ -5003,7 +5003,7 @@
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@@ -5025,7 +5025,7 @@
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@@ -5037,7 +5037,7 @@
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@@ -5047,7 +5047,7 @@
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@@ -5059,7 +5059,7 @@
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@@ -5076,7 +5076,7 @@
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@@ -5089,7 +5089,7 @@
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@@ -5101,7 +5101,7 @@
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@@ -5111,7 +5111,7 @@
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@@ -5124,7 +5124,7 @@
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@@ -5134,7 +5134,7 @@
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@@ -5146,7 +5146,7 @@
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@@ -5159,7 +5159,7 @@
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@@ -5172,7 +5172,7 @@
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@@ -5184,7 +5184,7 @@
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@@ -5196,7 +5196,7 @@
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@@ -5206,7 +5206,7 @@
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@@ -5219,7 +5219,7 @@
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@@ -5231,7 +5231,7 @@
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@@ -5243,7 +5243,7 @@
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@@ -5255,7 +5255,7 @@
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@@ -5267,7 +5267,7 @@
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@@ -5281,7 +5281,7 @@
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@@ -5293,7 +5293,7 @@
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@@ -5303,7 +5303,7 @@
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@@ -5315,7 +5315,7 @@
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@@ -5327,7 +5327,7 @@
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@@ -5339,7 +5339,7 @@
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@@ -5351,7 +5351,7 @@
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@@ -5363,7 +5363,7 @@
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@@ -5382,7 +5382,7 @@
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@@ -5394,7 +5394,7 @@
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+   "id": "baae491b",
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     "editable": true
    },
@@ -5404,7 +5404,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9afa64c1",
+   "id": "e5eb23cb",
    "metadata": {
     "editable": true
    },
@@ -5416,7 +5416,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "756fc3c6",
+   "id": "7358d855",
    "metadata": {
     "editable": true
    },
@@ -5426,7 +5426,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9faf05fa",
+   "id": "9373ba9a",
    "metadata": {
     "editable": true
    },
@@ -5438,7 +5438,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "36e62812",
+   "id": "52d4c6fc",
    "metadata": {
     "editable": true
    },
@@ -5450,7 +5450,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dee00fc3",
+   "id": "49ab8959",
    "metadata": {
     "editable": true
    },
@@ -5466,7 +5466,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1287f83a",
+   "id": "e14127d1",
    "metadata": {
     "editable": true
    },
@@ -5478,7 +5478,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b4240a7b",
+   "id": "2a8e0214",
    "metadata": {
     "editable": true
    },
@@ -5490,7 +5490,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd444925",
+   "id": "f93af579",
    "metadata": {
     "editable": true
    },
@@ -5500,7 +5500,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b055ab3",
+   "id": "a9ad1c0a",
    "metadata": {
     "editable": true
    },
@@ -5512,7 +5512,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc539215",
+   "id": "fdfaa9e2",
    "metadata": {
     "editable": true
    },
@@ -5522,7 +5522,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a4af335",
+   "id": "fc730aaf",
    "metadata": {
     "editable": true
    },
@@ -5534,7 +5534,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94a4c6dc",
+   "id": "b5b93bb8",
    "metadata": {
     "editable": true
    },
@@ -5551,7 +5551,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6cef8bfb",
+   "id": "c9404310",
    "metadata": {
     "editable": true
    },
@@ -5563,7 +5563,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5f04ae7d",
+   "id": "aaf3962a",
    "metadata": {
     "editable": true
    },
@@ -5575,7 +5575,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35418e34",
+   "id": "34e1c59a",
    "metadata": {
     "editable": true
    },
@@ -5585,7 +5585,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "df4a83ee",
+   "id": "d073b85b",
    "metadata": {
     "editable": true
    },
@@ -5597,7 +5597,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "43751ced",
+   "id": "af6d4ca2",
    "metadata": {
     "editable": true
    },
@@ -5607,7 +5607,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a030f43",
+   "id": "371ce85c",
    "metadata": {
     "editable": true
    },
@@ -5619,7 +5619,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e27747e",
+   "id": "dc48969c",
    "metadata": {
     "editable": true
    },
@@ -5629,7 +5629,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "be4c8f46",
+   "id": "e65f850f",
    "metadata": {
     "editable": true
    },
@@ -5641,7 +5641,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7da22e7f",
+   "id": "d4c943d8",
    "metadata": {
     "editable": true
    },
@@ -5651,7 +5651,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9c059120",
+   "id": "d89c0b51",
    "metadata": {
     "editable": true
    },
@@ -5663,7 +5663,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa7c7a38",
+   "id": "decb5e89",
    "metadata": {
     "editable": true
    },
diff --git a/doc/src/week35/week35.do.txt b/doc/src/week35/week35.do.txt
index 0cb055c38..c96e9729d 100644
--- a/doc/src/week35/week35.do.txt
+++ b/doc/src/week35/week35.do.txt
@@ -317,11 +317,11 @@ $\bm{z}^T=\bm{y}^T\bm{A}$, a vector of length $n$. We have then, using the defin
 which means that (using our previous example) we have
 !bt
 \[
-\frac{\partial \alpha}{\partial \bm{x}} = \bm{z}=bm{A}^T\bm{y}.
+\frac{\partial \alpha}{\partial \bm{x}} = \bm{z}=\bm{A}^T\bm{y}.
 \]
 !et
 
-Note that the resulting vector elements are the same for $\bm{z}^T$ and $\bm{z}$, the only difference is that one if just the transpose of the other.
+Note that the resulting vector elements are the same for $\bm{z}^T$ and $\bm{z}$, the only difference is that one is just the transpose of the other.
 
 Since $\alpha$ is a scalar we have $\alpha =\alpha^T=\bm{x}^T\bm{A}^T\bm{y}$. Defining now $\bm{z}=\bm{x}^T\bm{A}^T$ we find that
 !bt