diff --git a/M1/Numerical Methods/TP1.ipynb b/M1/Numerical Methods/TP1.ipynb
index 8b4151f..c7412ec 100644
--- a/M1/Numerical Methods/TP1.ipynb	
+++ b/M1/Numerical Methods/TP1.ipynb	
@@ -3,8 +3,8 @@
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-03-03T14:27:00.244402Z",
-     "start_time": "2025-03-03T14:27:00.241231Z"
+     "end_time": "2025-03-04T12:51:01.523548Z",
+     "start_time": "2025-03-04T12:51:01.520087Z"
     }
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    "cell_type": "code",
@@ -15,7 +15,7 @@
    ],
    "id": "fe01d49f9c6740ce",
    "outputs": [],
-   "execution_count": 100
+   "execution_count": 259
   },
   {
    "metadata": {},
@@ -27,8 +27,8 @@
    "metadata": {
     "collapsed": true,
     "ExecuteTime": {
-     "end_time": "2025-03-03T15:03:25.306403Z",
-     "start_time": "2025-03-03T15:03:25.302289Z"
+     "end_time": "2025-03-04T12:51:01.559159Z",
+     "start_time": "2025-03-04T12:51:01.555615Z"
     }
    },
    "cell_type": "code",
@@ -42,21 +42,21 @@
    ],
    "id": "initial_id",
    "outputs": [],
-   "execution_count": 169
+   "execution_count": 260
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-03-04T12:48:26.892060Z",
-     "start_time": "2025-03-04T12:48:26.888087Z"
+     "end_time": "2025-03-04T12:51:01.565527Z",
+     "start_time": "2025-03-04T12:51:01.562740Z"
     }
    },
    "cell_type": "code",
    "source": [
-    "def euler_explicit(N, T, y0, f, args=()):\n",
+    "def euler_explicit(N, T, y0, f, type=int, args=()):\n",
     "    h = T / N\n",
     "    t = np.linspace(0, T, N + 1)\n",
-    "    y = np.zeros(N + 1, dtype=complex)\n",
+    "    y = np.zeros(N + 1, dtype=type)\n",
     "    y[0] = y0\n",
     "    for n in range(N):\n",
     "        y[n + 1] = y[n] + h * f(t[n], y[n], *args)\n",
@@ -64,13 +64,13 @@
    ],
    "id": "f447a3bdff49e850",
    "outputs": [],
-   "execution_count": 244
+   "execution_count": 261
   },
   {
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     "ExecuteTime": {
-     "end_time": "2025-03-03T15:26:18.887962Z",
-     "start_time": "2025-03-03T15:26:18.799687Z"
+     "end_time": "2025-03-04T12:51:01.639877Z",
+     "start_time": "2025-03-04T12:51:01.582392Z"
     }
    },
    "cell_type": "code",
@@ -100,13 +100,13 @@
      "output_type": "display_data"
     }
    ],
-   "execution_count": 218
+   "execution_count": 262
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-03-03T15:25:45.054499Z",
-     "start_time": "2025-03-03T15:25:45.049904Z"
+     "end_time": "2025-03-04T12:51:01.657056Z",
+     "start_time": "2025-03-04T12:51:01.654570Z"
     }
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@@ -122,13 +122,13 @@
    ],
    "id": "57527c2e5eb6d17d",
    "outputs": [],
-   "execution_count": 214
+   "execution_count": 263
   },
   {
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     "ExecuteTime": {
-     "end_time": "2025-03-03T15:25:51.105580Z",
-     "start_time": "2025-03-03T15:25:51.038176Z"
+     "end_time": "2025-03-04T12:51:01.739113Z",
+     "start_time": "2025-03-04T12:51:01.672072Z"
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    "cell_type": "code",
@@ -159,7 +159,7 @@
      "output_type": "display_data"
     }
    ],
-   "execution_count": 216
+   "execution_count": 264
   },
   {
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@@ -170,8 +170,8 @@
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-     "end_time": "2025-03-03T15:25:14.888616Z",
-     "start_time": "2025-03-03T15:25:14.884827Z"
+     "end_time": "2025-03-04T12:51:01.757489Z",
+     "start_time": "2025-03-04T12:51:01.754373Z"
     }
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    "cell_type": "code",
@@ -185,13 +185,13 @@
    ],
    "id": "61588e94b56ea779",
    "outputs": [],
-   "execution_count": 208
+   "execution_count": 265
   },
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-     "end_time": "2025-03-03T15:25:15.302160Z",
-     "start_time": "2025-03-03T15:25:15.298178Z"
+     "end_time": "2025-03-04T12:51:01.776543Z",
+     "start_time": "2025-03-04T12:51:01.773086Z"
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@@ -207,13 +207,13 @@
    ],
    "id": "a32f0facb958a1a0",
    "outputs": [],
-   "execution_count": 209
+   "execution_count": 266
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-     "end_time": "2025-03-03T15:25:15.672410Z",
-     "start_time": "2025-03-03T15:25:15.667465Z"
+     "end_time": "2025-03-04T12:51:01.794953Z",
+     "start_time": "2025-03-04T12:51:01.791398Z"
     }
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    "cell_type": "code",
@@ -231,13 +231,13 @@
    ],
    "id": "ca061c36b09f7200",
    "outputs": [],
-   "execution_count": 210
+   "execution_count": 267
   },
   {
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     "ExecuteTime": {
-     "end_time": "2025-03-03T15:25:16.031135Z",
-     "start_time": "2025-03-03T15:25:16.028109Z"
+     "end_time": "2025-03-04T12:51:01.814042Z",
+     "start_time": "2025-03-04T12:51:01.810178Z"
     }
    },
    "cell_type": "code",
@@ -257,13 +257,13 @@
    ],
    "id": "afc8571b14a6b464",
    "outputs": [],
-   "execution_count": 211
+   "execution_count": 268
   },
   {
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-     "end_time": "2025-03-03T18:10:51.913835Z",
-     "start_time": "2025-03-03T18:10:51.827148Z"
+     "end_time": "2025-03-04T12:51:01.947339Z",
+     "start_time": "2025-03-04T12:51:01.876657Z"
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    "cell_type": "code",
@@ -298,13 +298,13 @@
      "output_type": "display_data"
     }
    ],
-   "execution_count": 235
+   "execution_count": 269
   },
   {
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-     "end_time": "2025-03-03T18:10:54.382031Z",
-     "start_time": "2025-03-03T18:10:54.014044Z"
+     "end_time": "2025-03-04T12:51:02.453901Z",
+     "start_time": "2025-03-04T12:51:01.967378Z"
     }
    },
    "cell_type": "code",
@@ -356,7 +356,7 @@
      "output_type": "display_data"
     }
    ],
-   "execution_count": 236
+   "execution_count": 270
   },
   {
    "metadata": {},
@@ -367,16 +367,16 @@
   {
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     "ExecuteTime": {
-     "end_time": "2025-03-04T12:48:41.100446Z",
-     "start_time": "2025-03-04T12:48:41.096706Z"
+     "end_time": "2025-03-04T12:51:02.474489Z",
+     "start_time": "2025-03-04T12:51:02.471385Z"
     }
    },
    "cell_type": "code",
    "source": [
-    "def euler_implicit(N, T, u0, lam):\n",
+    "def euler_implicit(N, T, u0, lam, type=int):\n",
     "    h = T / N\n",
     "    t = np.linspace(0, T, N + 1)\n",
-    "    u = np.zeros(N + 1, dtype=complex)\n",
+    "    u = np.zeros(N + 1, dtype=type)\n",
     "    u[0] = u0\n",
     "    for n in range(N):\n",
     "        u[n + 1] = u[n] / (1 - lam * h)\n",
@@ -384,13 +384,13 @@
    ],
    "id": "4484c71f50b8e691",
    "outputs": [],
-   "execution_count": 246
+   "execution_count": 271
   },
   {
    "metadata": {
     "ExecuteTime": {
-     "end_time": "2025-03-04T12:48:58.948153Z",
-     "start_time": "2025-03-04T12:48:58.791130Z"
+     "end_time": "2025-03-04T12:51:02.644858Z",
+     "start_time": "2025-03-04T12:51:02.493576Z"
     }
    },
    "cell_type": "code",
@@ -404,8 +404,8 @@
     "N = 400\n",
     "x0 = 1\n",
     "\n",
-    "t, x_appr_EE = euler_explicit(N, T, x0, f, args=(lam,))\n",
-    "_, x_appr_EI = euler_implicit(N, T, x0, lam)\n",
+    "t, x_appr_EE = euler_explicit(N, T, x0, f, type=complex, args=(lam,))\n",
+    "_, x_appr_EI = euler_implicit(N, T, x0, lam, type=complex)\n",
     "x_exact = x0 * np.exp(lam * t)\n",
     "\n",
     "# Plot the real parts\n",
@@ -444,15 +444,20 @@
      "output_type": "display_data"
     }
    ],
-   "execution_count": 250
+   "execution_count": 272
   },
   {
-   "metadata": {},
+   "metadata": {
+    "ExecuteTime": {
+     "end_time": "2025-03-04T12:51:02.662942Z",
+     "start_time": "2025-03-04T12:51:02.661576Z"
+    }
+   },
    "cell_type": "code",
-   "outputs": [],
-   "execution_count": null,
    "source": "",
-   "id": "aeb67c5158f41a0b"
+   "id": "aeb67c5158f41a0b",
+   "outputs": [],
+   "execution_count": null
   }
  ],
  "metadata": {