diff --git a/CompAlg.pdf b/CompAlg.pdf
new file mode 100644
index 0000000..96c7aac
Binary files /dev/null and b/CompAlg.pdf differ
diff --git a/files/least_squares_approximation.tex b/files/least_squares_approximation.tex
index 50107a1..31fe91e 100644
--- a/files/least_squares_approximation.tex
+++ b/files/least_squares_approximation.tex
@@ -290,7 +290,7 @@ \subsubsection{Kontinuierliche Least-Squares}
 
 Koeffizenten:
 $$
-	p(x) = \sum_{j=0}^m a_j T_j(x) \quad \text{wobei} \quad
+	p(x) = \sum_{j=0}^m a_j P_j(x) \quad \text{wobei} \quad
 	a_j = \frac{2j+1}{2} \cdot \int\limits_{-1}^{1}y(x) P_j(x) \cdot \mathrm{d}x \qquad (j=0,1,...,m)
 $$
 
@@ -307,9 +307,9 @@ \subsection{Multi-Variate Lineare Least Squares Approximation}
 \paragraph{Beispiele}
 \begin{align*}
     &\text{Basis 3. Grad:} &&
-    \{ 1,x,y, \; x^2,2xy,x^2, \; x^3,3x^2y,3xy^2,y^3 \} \\
+    \{ 1,x,y, \; x^2,2xy,y^2, \; x^3,3x^2y,3xy^2,y^3 \} \\
     &\text{Basis 4. Grad:} &&
-    \{ 1,x,y, \; x^2,2xy,x^2, \; x^3,3x^2y,3xy^2,y^3, \; x^4,4x^3y,6x^2y^2,4xy^2,y^4\} \\
+    \{ 1,x,y, \; x^2,2xy,y^2, \; x^3,3x^2y,3xy^2,y^3, \; x^4,4x^3y,6x^2y^2,4xy^3,y^4\} \\
 \end{align*}
 
 \subsection{Legendre Polynome}