diff --git a/course/lecture/lecture.md b/course/lecture/lecture.md
index 5a43660cf06a583efc75525be7b9d06bc7b66fd8..534d863083d7510ff10b0844f2c7c7ccb6503f34 100644
--- a/course/lecture/lecture.md
+++ b/course/lecture/lecture.md
@@ -1,17 +1,7 @@
-<script src="//yihui.org/js/math-code.js"></script>
-<!-- Just one possible MathJax CDN below. You may use others. -->
-<script async
-  src="//mathjax.rstudio.com/latest/MathJax.js?config=TeX-MML-AM_CHTML">
-</script>
+This math is inline $`a^2+b^2=c^2`$.
 
-$x_i = 1$
+This is on a separate line
 
-$$ 
-    \left\{ 
-    \begin{array}{l}
-        \displaystyle J(u)  := \displaystyle \int_0^{t_f} L(x(t),u(t)) \, \mathrm{d}t \longrightarrow \min \\[1.0em]
-        \dot{x}(t) =  f(x(t),u(t)), \quad  u(t) \in U, \quad t \in [0, t_f] \text{ a.e.}, \\[1.0em]
-        x(0) = x_0 , \quad c(x(t_f)) = 0_{\mathrm{R}^k},
-    \end{array}
-    \right. 
-$$
+```math
+a^2+b^2=c^2
+```