Besides normal URI syntax, you can also use OR's and AND's in GET requests.
For OR put a '|' (pipe) character between options, eg.:
/api/subject/?high_school_class=&id=&name=pol|hist
should return a list of all subjects with name either "pol", "hist" or "ang".
For AND just add the param once again with a new condition, eg:
/api/school/?highschoolclass__extendedsubject__name=mat&highschoolclass__extendedsubject__name=fiz
should return a list of all schools with classes that has both maths and physics as their extended subjects
You can mix ORs and ANDs in the same request. OR has a higher precedence.
Add an 'ordering=name_of_the_field'. For descending order, precede name of the field with a dash. You can also order by nested fields. Eg:
/api/school/?ordering=school_type,-id
should return a list of all schools, ordered by school type in ascending order, and by id in descending order.