diff --git a/lecture.cls b/lecture.cls
index a685c74..4988e84 100644
--- a/lecture.cls
+++ b/lecture.cls
@@ -143,8 +143,8 @@
 }%
 
 % integral d sign
-\makeatletter \renewcommand\d[1]{\ensuremath{%
-  \;\mathrm{d}#1\@ifnextchar\d{\!}{}}}
+\makeatletter \renewcommand\d[2][]{\ensuremath{%
+		\,\mathrm{d}^{#1}#2\@ifnextchar^{}{\@ifnextchar\d{}{\,}}}}
 \makeatother
 
 % contradiction
diff --git a/sose2020/ana/lectures b/sose2020/ana/lectures
index 52281b1..7035188 160000
--- a/sose2020/ana/lectures
+++ b/sose2020/ana/lectures
@@ -1 +1 @@
-Subproject commit 52281b15256442bfc7b1b8083034dd7e6b028adc
+Subproject commit 7035188af95eef3fdd7dd248590d2eec53fdaa3d
diff --git a/sose2020/la/uebungen/la3.pdf b/sose2020/la/uebungen/la3.pdf
index 8378a74..1f24661 100644
Binary files a/sose2020/la/uebungen/la3.pdf and b/sose2020/la/uebungen/la3.pdf differ
diff --git a/sose2020/la/uebungen/la3.tex b/sose2020/la/uebungen/la3.tex
index 16ba925..f121922 100644
--- a/sose2020/la/uebungen/la3.tex
+++ b/sose2020/la/uebungen/la3.tex
@@ -251,16 +251,16 @@
                     \colops
                     \add[-(-3 + t)]{1}{2}
                     \rowops
-                    \add[t+t-t^2]{1}{2}
+                    \add[1+t-t^2]{1}{2}
                 \end{gmatrix} \\
                 &\rightsquigarrow
                 \begin{gmatrix}[p] 1 & 0 & 0 \\
                     0 & 1 & 0 \\
-                    0 & 0 & 8 + t - 4t^2 + t^3
+                    0 & 0 & 2 - 5t + 4t^2 - t^3
                 \end{gmatrix}
             .\end{align*}
-            Damit folgen die Elementarteiler $1$, $1$ und $8 + t - 4t^2 + t^3$. Für die Fittingideale gilt
-            $\text{Fit}_1(B) = (1)$, $\text{Fit}_2(B) = (1)$ und $\text{Fit}_3(B) = (8 + t - 4t^2 + t^{3})$.
+            Damit folgen die Elementarteiler $1$, $1$ und $2 - 5t + 4t^2 - t^3$. Für die Fittingideale gilt
+            $\text{Fit}_1(B) = (1)$, $\text{Fit}_2(B) = (1)$ und $\text{Fit}_3(B) = (2 - 5t + 4t^2 - t^{3})$.
     \end{enumerate}
 \end{aufgabe}