Apostrophes are used to show possession or omissions in words and phrases.

Possession 

The rule is that the apostrophe always comes after the noun.  

Example:
The University’s halls of residence

When something belongs to more than one person, then the apostrophe goes after the s.

Example:
The graduates’ certificates will be kept in departmental offices

Singular nouns ending in s are treated no differently and s should still be added: 

Example:
The class’s teacher was absent from the room

Exceptions are proper nouns such as Jesus, Moses or Greek names ending in es.

Example:
Achilles’ heel was killing him

Some names ending in s can look and sound awkward when an extra s is applied.  Sometimes it’s OK to leave out the additional s as long as your approach is consistent throughout the publication or document.  

Example:
Dickens’ Great Expectations

Plurals of nouns omit the s after the apostrophe:

Example:
The classes’ timetables were confused

Where plural nouns that don’t end in s are used – children, women etc - the rule is the same. The apostrophe goes after the noun.

Example:
The women’s minibus runs until 11pm

Omission 

Apostrophes are also used to show that letters are missed out of a word or phrase.

Example:
I’ll - I will
1995 - ’95 

Where not to use apostrophes

Never use an apostrophe to form a plural with numbers and letters.

Examples:
1990s not 1990’s
Three As not three A’s
CDs not CD’s 

Never use an apostrophe when it’s used in the possessive sense.

Example:
The University is conveniently located; its buildings are set on a beautiful riverside campus.