Add some exercises for NumPy

numpy.ipynb

@@ -694,6 +694,31 @@
      ],
      "prompt_number": 19
     },
+    {
+     "cell_type": "markdown",
+     "metadata": {},
+     "source": [
+      "You can set the seed with `np.random.seed`."
+     ]
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {
+      "slideshow": {
+       "slide_type": "slide"
+      }
+     },
+     "source": [
+      "$\\S$ Exercise: Simple arrays\n",
+      "===\n",
+      "\n",
+      "* Create simple one and two dimensional arrays. First redo the examples, then create your own.\n",
+      "* Use the functions `len`, `shape` and `ndim` on some of those arrays and observe their output.\n",
+      "* Experiment with `arange`, `linspace`, `ones`, `zeros`, `eye` and `diag`.\n",
+      "* Create different kinds of arrays with random numbers.\n",
+      "* Try setting the seed before creating an array with random values."
+     ]
+    },
     {
      "cell_type": "markdown",
      "metadata": {
@@ -1179,6 +1204,93 @@
      ],
      "prompt_number": 3
     },
+    {
+     "cell_type": "markdown",
+     "metadata": {
+      "slideshow": {
+       "slide_type": "slide"
+      }
+     },
+     "source": [
+      "$\\S$ Exercise: Indexing and slicing\n",
+      "===\n",
+      "\n",
+      "* Try the different flavours of slicing, using `start`, `end` and `step`.\n",
+      "* Verify that the slices in the previous diagram are indeed correct. You may use the following expression to create the array:"
+     ]
+    },
+    {
+     "cell_type": "code",
+     "collapsed": false,
+     "input": [
+      "np.arange(6) + np.transpose([np.arange(0, 51, 10)])"
+     ],
+     "language": "python",
+     "metadata": {},
+     "outputs": [
+      {
+       "metadata": {},
+       "output_type": "pyout",
+       "prompt_number": 11,
+       "text": [
+        "array([[ 0,  1,  2,  3,  4,  5],\n",
+        "       [10, 11, 12, 13, 14, 15],\n",
+        "       [20, 21, 22, 23, 24, 25],\n",
+        "       [30, 31, 32, 33, 34, 35],\n",
+        "       [40, 41, 42, 43, 44, 45],\n",
+        "       [50, 51, 52, 53, 54, 55]])"
+       ]
+      }
+     ],
+     "prompt_number": 11
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {
+      "slideshow": {
+       "slide_type": "subslide"
+      }
+     },
+     "source": [
+      "$\\S$ Exercise: Array creation\n",
+      "===\n",
+      "\n",
+      "Create the following arrays (with correct data types):\n",
+      "\n",
+      "    [[1, 1, 1, 1],\n",
+      "     [1, 1, 1, 1],\n",
+      "     [1, 1, 1, 2],\n",
+      "     [1, 6, 1, 1]]\n",
+      "\n",
+      "    [[0., 0., 0., 0., 0.],\n",
+      "     [2., 0., 0., 0., 0.],\n",
+      "     [0., 3., 0., 0., 0.],\n",
+      "     [0., 0., 4., 0., 0.],\n",
+      "     [0., 0., 0., 5., 0.],\n",
+      "     [0., 0., 0., 0., 6.]]\n",
+      "\n",
+      "Par on course: 3 statements for each (hint: `help(np.diag)`)."
+     ]
+    },
+    {
+     "cell_type": "markdown",
+     "metadata": {
+      "slideshow": {
+       "slide_type": "subslide"
+      }
+     },
+     "source": [
+      "$\\S$ Exercise: Tiling for array creation\n",
+      "===\n",
+      "\n",
+      "Skim through the documentation for np.tile, and use this function to construct the array:\n",
+      "\n",
+      "    [[4, 3, 4, 3, 4, 3],\n",
+      "     [2, 1, 2, 1, 2, 1],\n",
+      "     [4, 3, 4, 3, 4, 3],\n",
+      "     [2, 1, 2, 1, 2, 1]]"
+     ]
+    },
     {
      "cell_type": "markdown",
      "metadata": {