من تقریبا هر روز بعد از کلاس به کتابخانه میروم.

Yes, you can usually leave it out.

In Persian, the verb ending already tells you the subject. In می‌روم, the ending -م means I. So:

• من تقریبا هر روز بعد از کلاس به کتابخانه می‌روم.
• تقریبا هر روز بعد از کلاس به کتابخانه می‌روم.

Both mean the same thing.

Including من can add emphasis or contrast, like I go to the library, not someone else.

Here is a word-by-word breakdown:

• من = I
• تقریبا = almost / تقریباً
• هر روز = every day
• بعد از = after
• کلاس = class
• به = to
• کتابخانه = library
• می‌روم = I go

So the structure is roughly:

I almost every day after class to the library go.

That final go at the end is normal in Persian.

Because Persian commonly uses subject–object/location–verb order, with the verb often placed at the end of the sentence.

So instead of English:

• I go to the library after class almost every day

Persian naturally says something closer to:

• I almost every day after class to the library go

This verb-final pattern is very common in Persian.

می‌روم is the present simple form, but in Persian it often covers meanings that English expresses with:

• I go
• I am going (in some contexts)
• habitual actions like I go every day

In this sentence, because of هر روز (every day), it clearly means a habitual action:

• I go to the library almost every day after class.

The prefix میـ is a very common marker in Persian verbs. In sentences like this, it helps form the present/imperfective meaning.

So:

• روم by itself is not how you normally say I go
• می‌روم = I go / I am going

In everyday learning, it is easiest to think of میـ + verb as the normal way to form many present-tense verbs.

Yes. In standard modern Persian spelling, می‌روم is preferred.

The more standard version is:

• می‌روم

with a half-space or zero-width non-joiner between می and روم.

You may also see:

• میروم

especially in informal typing, older texts, or when someone does not use the half-space.

Both are understood, but می‌روم is the standard spelling.

Persian does not use articles the same way English does.

کتابخانه can mean:

• library
• the library
• a library

The exact meaning depends on context.

So به کتابخانه می‌روم naturally means:

• I go to the library

even though there is no separate word for the.

به usually means to, toward, or sometimes at/in depending on context.

Here it marks destination:

• به کتابخانه = to the library

Other examples:

• به مدرسه می‌روم = I go to school
• به خانه می‌روم = I go home

So in this sentence, به shows where you are going.

Because کتابخانه is not a direct object here. It is the destination of the motion verb.

را marks a specific direct object, not a destination.

Compare:

• به کتابخانه می‌روم = I go to the library
• کتاب را می‌خوانم = I read the book

In the second sentence, کتاب is the direct object, so it can take را. In your sentence, کتابخانه is part of a prepositional phrase with به, so no را is used.

Yes. هر روز literally means every day.

• هر = every
• روز = day

It is a very common time expression in Persian.

Examples:

• هر روز ورزش می‌کنم = I exercise every day
• هر هفته = every week
• هر سال = every year

In your sentence, تقریبا هر روز means almost every day.

The standard form is بعد از ... = after ...

So:

• بعد از کلاس = after class
• بعد از غذا = after food / after the meal
• بعد از کار = after work

In casual speech, native speakers may sometimes shorten things, but for learners, بعد از is the normal pattern to use.

Not necessarily. Persian often uses the singular in general expressions where English also commonly uses the singular:

• بعد از کلاس = after class

This means after my class / after class is over, not necessarily one specific classroom lesson in a narrow grammatical sense.

It works much like English after class, at school, or after work.

Yes, it can move somewhat, but its usual placement is before the time expression or the part it modifies.

In your sentence:

• من تقریبا هر روز بعد از کلاس به کتابخانه می‌روم

This naturally means:

• I go to the library after class almost every day

You may also hear similar variations depending on emphasis, but this position is very natural and common.

A standard spelling note: many books write it as تقریباً.

A careful pronunciation would be approximately:

• man taqriban har ruz ba'd az kelâs be ketâbkhâne miravam

A few notes:

• من = man
• هر روز = har ruz
• بعد از sounds like ba'd az
• کتابخانه = ketâbkhâne
• می‌روم in formal reading is miravam

In everyday speech, many speakers say something closer to:

• میرم = miram

So a more colloquial spoken version might sound like:

• man taqriban har ruz ba'd az kelâs be ketâbkhâne miram

A common colloquial version would be:

• من تقریبا هر روز بعدِ کلاس می‌رم کتابخونه.

Some everyday spoken changes are:

• می‌روم → می‌رم
• کتابخانه → کتابخونه
• بعد از کلاس may sound like بعدِ کلاس

But the original sentence is a good standard written form, especially if you write it as:

• من تقریباً هر روز بعد از کلاس به کتابخانه می‌روم.

Yes, it is natural and correct.

A slightly more standard written version would be:

• من تقریباً هر روز بعد از کلاس به کتابخانه می‌روم.

The main differences are just spelling conventions:

• تقریبا → تقریباً
• میروم → می‌روم

So the sentence itself is fine; the more standard orthography just makes it look more polished in formal writing.