Introduction text cosmetics

src/index.md

-# Math for quantum
+# Math for Quantum
 
 !!! summary "Learning goals"
 
@@ -8,20 +8,20 @@
     - solve mathematical problems encountered in the follow-up courses of the minor.
     - explain Hilbert spaces of (in)finite dimension. 
 
-Mathematics for quantum mechanics gives you a compact introduction and review
+*Mathematics for Quantum Mechanics* gives you a compact introduction and review
 of the basic mathematical tools commonly used in quantum mechanics. Throughout
-the course we have kept quantum mechanics applications in mind, but at the
-core this is still a math course. For this reason, applying what you learned
+the course, we keep quantum mechanics applications in mind, but at the
+core, this is still a math course. For this reason, applying what you learned
 to examples and exercises is **crucial**!
 
-Each lecture note comes with an extensive set of exercises. Each exercise is labeled
-according to difficulty:
+Each lecture note comes with an extensive set of exercises, and each exercise is labeled
+according to its difficulty:
 
 - [:grinning:] easy
 - [:smirk:] intermediate
 - [:sweat:] difficult
 
-In these notes our aim is to provide learning materials which are:
+In these notes, our aim is to provide learning materials which are:
 
 - self-contained
 - easy to modify and remix, so we provide the full source, including the code