diff --git a/Advanced/Random Walks/parts/1 circuits.tex b/Advanced/Random Walks/parts/1 circuits.tex
index bbf067e..9837e23 100644
--- a/Advanced/Random Walks/parts/1 circuits.tex	
+++ b/Advanced/Random Walks/parts/1 circuits.tex	
@@ -18,7 +18,7 @@ In the definitions below, let $X$ be the set of nodes in a circuit.
 		In the real world, voltage is always measured \textit{between two points} on a circuit.
 		Voltage is defined as the \textit{difference} in electrical charge between two points.
 		Hence, voltage is a function of two nodes.
-	
+
 		\vspace{2mm}
 
 		Note that this is different than current and resistance, which aren't functions
@@ -67,7 +67,7 @@ Convince yourself that $V(a, b) = V(a) - V(b)$.
 
 \definition{Kirchoff's law}
 The second axiom of electrical circuits is also fairly simple. \textit{Kirchoff's law} states that the sum of all currents connected to
-a given edge is zero. You can think of this as \say{conservation of mass}: nodes in our circuit do not create or 
+a given edge is zero. You can think of this as \say{conservation of mass}: nodes in our circuit do not create or
 destroy electrons, they simply pass them around to other nodes.\par
 Formally, we can state this as follows:
 
@@ -88,11 +88,11 @@ which must hold at every node \textbf{except the source and ground vertices.} \p
 \begin{instructornote}
 	Be aware that some students may not be comfortable with these concepts from physics,
 	nor with the circuit notation on the next page.
-	
+
 	\vspace{2mm}
-	
+
 	It may be a good idea to give the class a quick lecture on this topic,
-	explaining the basics of electonic circuits and circuit diagrams.
+	explaining the basics of electronic circuits and circuit diagrams.
 
 	\vspace{2mm}