Instead of college guides or Internet, it is Professor Randy Pausch's "Last Lecture" that first brought the name "Carnegie Mellon University" to meintroduced me to Carnegie Mellon
^Id just like to point out, that if this is true, then this is fine. However, if this is your way of being 'unique', the Randy Pausch angle is not unique. Also, from what I remember, Randy Paush's speech does not endorse Carnegie Mellon's educational values or what the college offers. My memory may have failed me, but I remember the speech to be more concerned with a philosophy on life and how it should be lived.
While listening to his lecture, I was laughing at his jokes, weeping because of his optimistic attitude towards life, as well as thinking about my own childhood dreams. At that moment, I strongly realized, CMU is my dream
^Well, there are grammar errors here but let me comment on your content. I do not see why you would weep at an optimistic attitude to life. How did you suddenly realize that CMU is your dream? Is it to do with you having reflected on your childhood dreams? You did not know of Carnegie Mellon until you heard this speech, apparently..
Never content with an "easy answer", I never settled with any statements until all the proofs and analysis has been presented.
^Given your past tense of the verb 'settle', does this mean that this no longer applies?
A typical "daydreamer", I spend hours coming up with crazy ideas and searching for their possibilities
^What do you mean, by a crazy idea? Especially if you are a day dreamer? I would have thought that a crazy day dream was riding a unicorn and finding a pot of gold. I would not search for a possibility, because such fantasies are
generally impossible. (It may be possible. No one has disproved the existence of unicorns to my knowledge)
I wish to contribute my power in dealing with the contamination in my hometown, and chemistry, I believe, is the best approach for me to achieve such goal
^Its just an undergraduate degree that you are applying for. Its unlikely that with just an undergrad qualification. There are people with more knowledge and experience who are trying to work on solutions out there...
Although I may not have been fascinated by CMU for the entire 18 years of my life, as some of my contemporaries might be, my love of this university is no doubt, one of the strongest. I regarded CMU not only as a place of academic fulfillment, but also a considerate and warm family that I dream to join in and contribute to.
^I do not see why you would want to make it clear that you were not fascinated by CMU. What makes you so sure that your love is the strongest?
Your essay has a number of evident grammatical errors that need to be corrected.
In terms of content, there can be improvements if you want this essay to be stronger.