Ako sam umorna, želim da ostanem kod kuće i učim na računaru.

Because umorna is the feminine form of the adjective umoran = tired.

In Serbian, adjectives agree with the speaker’s gender when you say I am ... with an adjective.

• Ako sam umorna = if I am tired, said by a woman
• Ako sam umoran = if I am tired, said by a man

So this sentence is spoken by a female speaker.

Serbian usually drops subject pronouns when the verb already shows who the subject is.

Here, sam clearly means I am, so ja is not necessary.

• natural: Ako sam umorna...
• possible with emphasis: Ako ja sam umorna... is not the normal way to say it

If you wanted emphasis, Serbian would usually place ja differently:

• Ako sam ja umorna... = If I am tired...

So leaving out ja is the normal, natural choice.

Sam is the 1st person singular present-tense form of biti = to be.

So:

• sam = am
• si = are
• je = is

In Ako sam umorna, the structure is literally:

• Ako = if
• sam = I am
• umorna = tired

So the phrase means If I am tired.

Because the sentence begins with a subordinate if-clause, and Serbian normally separates that clause from the main clause with a comma.

So:

• Ako sam umorna, želim da ostanem...

This is very similar to English punctuation in:

• If I am tired, I want to stay...

If you reverse the order, the punctuation changes accordingly:

• Želim da ostanem kod kuće i učim na računaru ako sam umorna.

So the comma here is normal and expected.

In Serbian, after verbs like želeti = to want, it is very common to use da + present tense instead of an infinitive.

So Serbian often says:

• želim da ostanem = I want to stay

rather than something more like an infinitive structure.

This da + present pattern is extremely important in Serbian and one of the first things learners need to get used to.

Examples:

• Želim da idem. = I want to go.
• Želim da učim. = I want to study.
• Želim da ostanem kod kuće. = I want to stay at home.

So želim da ostanem is fully normal Serbian.

This is mainly about aspect.

• ostati → perfective
• ostajati / ostajem → imperfective

In želim da ostanem, the speaker wants a single completed result: to stay / remain at home. That is why the perfective form ostanem is natural here.

Very roughly:

• ostanem = to end up staying, to remain
• ostajem = I am staying / I keep staying / I stay habitually

After želim da..., Serbian often uses a perfective present form to express a desired future result:

• Želim da ostanem kod kuće. = I want to stay at home.

Using ostajem here would sound less natural for this meaning.

Kod kuće is the normal Serbian expression for at home.

Literally, kod often means something like at someone’s place / by / with, but kod kuće is a fixed expression meaning at home.

Compare:

• kod kuće = at home
• u kući = in the house

These are not always the same thing.

• Ostajem kod kuće. = I’m staying home.
• On je u kući. = He is in the house.

So in this sentence, kod kuće is the most natural choice.

Yes. Učiti can mean both to learn and to study, depending on context.

Here, učim na računaru means I study on the computer or I do my studying on the computer.

Serbian uses učiti very broadly:

• Učim srpski. = I’m learning Serbian.
• Učim za ispit. = I’m studying for an exam.

So in this sentence, učim is the normal verb for study.

Because na računaru means on the computer, meaning using the computer.

This is the normal preposition with devices in this sense.

• na računaru = on the computer
• na telefonu = on the phone
• na internetu = on the internet

But u računaru would mean in the computer, as in physically or figuratively inside it. That is a completely different meaning.

So:

• učim na računaru = I study on the computer
• nešto je u računaru = something is in the computer

Yes. Both are used.

• računar is a standard Serbian word for computer
• kompjuter is also very common in everyday speech

So these are both possible:

• učim na računaru
• učim na kompjuteru

The first may sound a bit more standard or formal, while the second is very common colloquially.

Because da belongs to the clause started by želim, and then the two actions are coordinated:

• želim da ostanem ... i učim ...

This means:

• I want to stay at home and study on the computer

Serbian often does this when the same subject continues with coordinated verbs.

You could also think of it as:

• želim da ostanem kod kuće i da učim na računaru

That version is also possible, but the second da is often omitted because it is understood.

So the original sentence is natural and efficient.

Usually no, not in the same general way.

In Serbian:

• učiti = to study, learn
• studirati = to be a university student, to study at university, often a specific subject

So:

• Učim na računaru. = I study on the computer.
• Studiram medicinu. = I study medicine at university.

If you just mean doing schoolwork or studying in general, učim is the better choice here.

Because Serbian often uses present-tense forms in structures like this, even when English uses to + verb or refers to a future/intended action.

There are two things happening:

1. Ako sam umorna uses present tense for a real condition:

   • If I am tired

2. želim da ostanem uses da + present to express a desired action:

   • I want to stay

So although the forms look present-tense, the whole sentence naturally expresses:

• a present condition
• and a desired action/result

This is just how Serbian grammar works; it does not sound strange to native speakers.