computer, psychology, Spanish, etc.
crash, intensive
short
two-day, two-week, etc.
advanced, beginners', intermediate, introductory
college-level, graduate-level (both AmE)
day (BrE), evening (esp. BrE), night (AmE)
elective (AmE)
Psychology is offered as an elective course.

required (AmE)
Students take required courses in music theory and performance.

refresher, remedial
He enrolled in a remedial mathematics course.

induction (BrE)
training
correspondence, online, Web-based
external (BrE)
in-house (esp. BrE)

attend, do, take
He took a crash course in Spanish.

enrol on (BrE), join (esp. BrE), sign up for
teach
offer, run
The school runs courses all year round.

design, develop
We have designed the course for students at all levels of ability.

complete, finish
She has completed a course in first aid.

pass
fail, flunk (informal, esp. AmE)

run
The course runs from January till March.

consist of sth, cover sth, focus on sth, include sth
The course consists of both lectures and practical workshops.

course in
a course in art history

course on
a course on the development of capitalism

full-time, part-time
one-year, two-year, etc.
access (BrE), foundation (BrE)
graduate, postgraduate, undergraduate
degree, diploma, honours/honors
a joint-honours course in French and Russian (BrE)

mathematics, physics, psychology, etc.
academic
vocational
sandwich (BrE)

offer, run
the only university in the UK to offer courses in computer games technology

complete, finish
drop out of

alter, change, reverse (esp. AmE)
The boat altered course during the storm.

chart, plot, set
We set course for Vancouver Island.

navigate, steer
follow
The path follows the course of the river.

resume
The plane resumed its original course.

off course
We're a long way off course.

on course
We're on course for our destination.

on a collision course
The two planes were on a collision course.

be blown off course
The boat was blown off course.

best, better
prudent
Taking action without knowing all the facts would not be a prudent course.

adopt, choose, follow, pursue, steer, take
She shrewdly steered a middle course between the two factions.
It was the best course of action to take in the circumstances.

be open to sb
It was the only course open to him.

a course of action

natural, normal, usual
It's best to let things follow their natural course.

change
an event that changed the course of his life

reverse (esp. AmE)
The dollar fell sharply for two days, and then reversed course.

affect, decide, determine, dictate, influence, shape
War has determined the course of much of human history.

follow, run, take
Her career followed a similar course to her sister's.
We could do nothing but let the disease run its course.

resume
Prices resumed their upward course.

during the course of
during the course of the war

in the course of
In the course of time, I began to understand.

the course of history
This was an event that changed the course of history.

in due course (= at the appropriate time; eventually)
in the normal course of events, in the ordinary course of events
In the normal course of events, you should get a reply by Monday.

let nature take its course
When the dog responded so badly to the treatment, we decided to let nature take its course (= stop treating it and let it die naturally).

main
first, second, etc.

for a/the course
We had chicken for our main course.

golf
nine-hole
obstacle, race (usually racecourse) (racetrack in AmE)

complete
Only ten yachts completed the course.

build, design

give sb, put sb on
She's been put on a course of injections.

prescribe (sb)
take
complete, finish
If you are prescribed antibiotics, it's important to finish the course.

course of
a course of antibiotics