diff --git a/analysisII.pdf b/analysisII.pdf
index 9d8496f..5144e85 100644
Binary files a/analysisII.pdf and b/analysisII.pdf differ
diff --git a/lecture.cls b/lecture.cls
index ae54101..254866a 100644
--- a/lecture.cls
+++ b/lecture.cls
@@ -28,7 +28,7 @@
 \usetikzlibrary{quotes, angles}
 
 \geometry{
-    bottom=25mm
+    bottom=35mm
 }
 
 %\DeclareOption*{\PassOptionsToClass{\CurrentOption}{article}}