Having finished the Lecture of Real Function, I wanted to do some summary.
The Most important thing I have ever learned is not the Daniel Integeral or how to prove independently the Sard's Theorem or how to construct a unmeasurable set, but getting well along with your professor also needs a lot of techniques.
At first, I am trying to convince my professor I am the smartest student in his class which I made it with pointing out immediately some mistakes in his lecture and reacting quickly from what he had talked. In fact, I drawed the attention of everybody else in the lecture hall.
Secondly I made myself ambitious and worked a good job on several presentations, but mine quite aggressiveness made some drawbacks because I was so aggressive that I took the opportunity of showing even from professor himself.
That was a deadly great mistake.
For nearly 3 weeks, professor didn't like me anymore and beated me with my weakness of the presetations. I felt quite hard for a long time, nervous and worried of my A+.
"Never against your professor." which is really a truth in the acdemic study not only in China but also all over the world. I struggled for some days and gave up at last. I knew the consequence if I went on doing my way and getting a good reference from your colleagues was nothing comparing with some bad words from the professor.
Man should kneel if necessary. And the colleagues are not friends but competitors. They are looking forward to your messing up not success.
So I surrendered.
Then I will get a reference letter and a A+ from the professor.
That's the end of this lecture.