formatting probs 2 and 3

1 files changed, 5 insertions, 5 deletions

diff --git a/Problem Set 2.page b/Problem Set 2.page
index 2637ab2..beafd04 100644
--- a/Problem Set 2.page
+++ b/Problem Set 2.page
@@ -23,18 +23,18 @@ Cook up other examples and post them on the wiki!
 
 
 1. Compute the Fourier Series of the following functions.  Do both the exponential and sin/cos expansions.
-    a. $f(x) = \sin^3(3x)\cos^2(4x)$
+    a. f$f(x) = \sin^3(3x)\cos^2(4x)$
     - $g(x) = x(x-2\pi)$  
       (Hint: Use integration by parts)
 
 2. Show that  
-$\int_0^{2\pi} \sin^4(x) dx = \frac{3 \pi}{4}$  
+$$\int_0^{2\pi} \sin^4(x) dx = \frac{3 \pi}{4}$$  
 (Hint: write out the exponential fourier expansion of $\sin^4(x)$.)
 
 3. Compute the exponential Fourier coefficients of $\sin^2(x)$:  
-$a_n = \frac{1}{\sqrt 2\pi} \int_0^{2\pi} \sin^2(x) e^{-inx} dx$  
-and use this to show that  
-$\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$  
+$$a_n = \frac{1}{\sqrt 2\pi} \int_0^{2\pi} \sin^2(x) e^{-inx} dx$$  
+and use this to verify that  
+$$\int_0^{2\pi} |\sin^2(x)|^2 dx = \sum |a_n|^2.$$  
 
 # Solutions