老年 - lǎonián - elderly / old age
大学 - dàxué - university / college
老人 - lǎorén - old man or woman / the elderly
来 - lái - to come / to arrive
报名 - bàomíng - to sign up / to enter one's name / to apply / to register
早上 - zǎoshang - early morning
大妈 - dàmā - aunt (father's elder brother's wife) / aunt (respectable term for older lady of aunt's age)
这里 - zhèlǐ - here
学习 - xuéxí - to study
喜欢 - xǐhuan - to like
东西 - dōngxi - thing / stuff

Noun / Pronoun + 的 + Noun - Expressing a possessive particle with "Noun / Pronoun + de + Noun" (indicate a relationship of possessor / possession)
合肥的老年大学

Place + 有 + Object - Expressing the existence of an object in a certain place with "Place + yǒu + Object" (similar to "there is" or "there are")
合肥有一个老年大学。

Measure Word - Expressing the number of sth with an object specific measure word in the form of "Number + Measure Word + Noun" (if the number is one, you can omit it and use the measure word by itself)
合肥有一个老年大学。
一个大妈说她在这里学习了五年，她今年还想在这里学习。

这 / 那 + Measure Word + Noun - Expressing "this… / that…" with "zhè / nà + Measure Word + Noun"
很多老人来这个大学报名。
老人们都很喜欢这个大学

Number 1 + Number 2 - Expressing approximation between two sequential numbers with "Number 1 + Number 2"
很多老人早上四五点就来了。

Hour X + 点 - Expressing "X o'clock" with "Hour X + diǎn"
很多老人早上四五点就来了。

Situation + 就 + Verb / Verb Phrase - Expressing "then / and so / in that case…" with "Situation + jiù + Verb / Verb Phrase" (the action happens "as a consequence of / following on from" the situation)
很多老人早上四五点就来了。

Verb / Verb Phrase + 了 - Expressing that an action has been completed with "Verb / Verb Phrase + le"
很多老人早上四五点就来了。
个大妈说她在这里学习了五年

还 + Verb / Verb Phrase - Expressing "still / and so / also / in addition…" with "hái + Verb" (used when one subject is doing two different things)
她今年还想在这里学习。

Subject + 想 + Verb + Object - Expressing "would like to" with "Subject + xiǎng + Verb + Object"
她今年还想在这里学习。

Noun + 们 - Expressing the plural form of a noun with "Noun + men"
老人们都很喜欢这个大学

Subject + 都 + Verb Phrase - Expressing the action apples to "both / all" with "Subject + dōu + Verb Phrase"
老人们都很喜欢这个大学

Subject + 能 + Verb + Object - Expressing that the subject "can" do a particular action with "Subject + néng + Verb + Object" (means "to be able to" and expresses having a certain ability or having obtained a certain minimum requirement)
他们能学习很多他们喜欢的东西。

Phrase + 的 + Noun - Expressed to link a noun to a preceding phrase with "Phrase + de + Noun"
他们能学习很多他们喜欢的东西。

合肥 - Héféi - Hefei (capital of Anhui Province)