diff --git a/ws2019/ana/lectures/analysis.pdf b/ws2019/ana/lectures/analysis.pdf
index 587bf80..c6bfc7f 100644
Binary files a/ws2019/ana/lectures/analysis.pdf and b/ws2019/ana/lectures/analysis.pdf differ
diff --git a/ws2019/ana/lectures/analysis.tex b/ws2019/ana/lectures/analysis.tex
index 23dab10..084ed22 100644
--- a/ws2019/ana/lectures/analysis.tex
+++ b/ws2019/ana/lectures/analysis.tex
@@ -2,6 +2,7 @@
 
 \usepackage{standalone}
 \usepackage{tikz}
+\usepackage{subcaption}
 
 \title{Analysis I}
 \author{Prof. Dr. Ekaterina Kostina}
@@ -36,5 +37,6 @@
 \input{analysis19.tex}
 \input{analysis20.tex}
 \input{analysis21.tex}
+\input{analysis22.tex}
 
 \end{document}