diff --git a/ws2019/ana/lectures/analysis.pdf b/ws2019/ana/lectures/analysis.pdf
index 63f7a3a..5fe5422 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 bd68b51..d3e1cce 100644
--- a/ws2019/ana/lectures/analysis.tex
+++ b/ws2019/ana/lectures/analysis.tex
@@ -22,5 +22,7 @@
 \input{analysis12.tex}
 \input{analysis13.tex}
 \input{analysis14.tex}
+\input{analysis14.tex}
+\input{analysis15.tex}
 
 \end{document}