You are perfectly right
and i think you will not correct homework either but iīll try nevertheless. could you just say if it is right what i found out?that would be a great help.
my solution is:
1) "S: (Aux
Are) +
(NP you) + (VP interested (PP in (NP the (AP human) brain))))?"
2) "S:(Aux
Would) + (NP
you) + (VP
like to conduct(does it belong together as one verb?) (NP
research (PP
into (NP
the workings) (PP
of (NP
the brain))))) [Conj
and] (VP
join (NP
an (AP
enthusiastic, international)
group (PP
of (AP
top)
researchers)))?"
3) S:(NP
The Masterīs programme (PP in (AP Cognitive Neuroscience))) + (VP
is (NP
a (AP
multi-disciplinary)
programme) (VP
?what is "closely involving" in this sentence?a whole VP? (AP
closely)
involving (NP
scientists (PP
from [NP(NP(AP
various)
faculties)) (Conj.
and) (NP
research institutes (PP
on (NP
campus)))])), + (
Comp./subclause?:
who (VP
come (PP
from (AP
all) (PP
over (NP
the world))))."
4) "S:(NP
They) + (VP
are (NP
all(is "all" a noun phrase?) (PP
of (NP(AP
great international)
standing))))."
5) "S: (NP
They) + (Aux
will) (
also? i think itīs an adverb but i donīt know where to put it) + (VP
supervise (NP(NP
your (AP
practical)
training) (Conj.
and) (NP
the writing (PP
of (NP
a Masterīs thesis (PP
in (NP
the (AP
second)
year))))))."