diff --git a/analysisII.pdf b/analysisII.pdf
index 737d9e4..b39fd76 100644
Binary files a/analysisII.pdf and b/analysisII.pdf differ
diff --git a/lecture.cls b/lecture.cls
index 9219ad0..f63285c 100644
--- a/lecture.cls
+++ b/lecture.cls
@@ -140,4 +140,4 @@
 \let\cleardoublepage=\clearpage
 
 %josua
-\newcommand{\norm}[1]{\left\Vert#1\right|\Vert}
\ No newline at end of file
+\newcommand{\norm}[1]{\left\Vert#1\right\Vert}