diff --git a/mu.md b/mu.md
index 7cd5959c..f4438bde 100644
--- a/mu.md
+++ b/mu.md
@@ -436,7 +436,7 @@ Shifting bits right inserts zeros on the left by default.
 A _signed_ shift right duplicates the leftmost bit, thereby preserving the
 sign of an integer.
 
-## More complex instructions on more complex types
+## Operations on more complex types
 
 These instructions work with any type `T`. As before we use `/reg` here to
 indicate when a variable must live in a register. We also include type
@@ -605,7 +605,7 @@ type point {
 }
 ```
 
-Mu programs are currently sequences of `fn` and `type` definitions.
+Mu programs are sequences of just `fn` and `type` definitions.
 
 Compound types can't include `addr` types for safety reasons (use `handle` instead,
 which is described below). They also can't currently include `array`, `stream`
@@ -643,4 +643,3 @@ You can shallow-copy compound types using the `copy-object` function:
 ```
 copy-object src: (addr T), dest: (addr T)
 ```
-
diff --git a/tutorial/index.md b/tutorial/index.md
index cea31945..aa803d98 100644
--- a/tutorial/index.md
+++ b/tutorial/index.md
@@ -300,11 +300,11 @@ Write a function to perform this conversion. Some starting points:
 * Read [the section on floating-point arithmetic](https://github.com/akkartik/mu/blob/main/mu.md#floating-point-arithmetic).
 * One wrinkle is that the x86 instruction set doesn't permit literal
   fractional arguments. So you'll need to _create_ 1.609 somehow. See the
-  sub-section on moving values around under [operations on simple types](https://github.com/akkartik/mu/blob/main/mu.md#operations-on-simple-types).
+  section on moving values around under [operations on simple types](https://github.com/akkartik/mu/blob/main/mu.md#operations-on-simple-types).
 
 This task has four source files in the repo that reveal more and more of the
 answer. Start from the first, and bump down if you need a hint.
-- tutorial/task8.mu
-- tutorial/task8-hint1.mu
-- tutorial/task8-hint2.mu
-- tutorial/task8-hint3.mu
+* tutorial/task8.mu
+* tutorial/task8-hint1.mu
+* tutorial/task8-hint2.mu
+* tutorial/task8-hint3.mu