Orion Crest, Series_1

Chapter 10: Semester Exams

         Recently, Orion has spent most of his time in the library, except for visiting Professor Tang when he had a problem that he couldn't figure out. Since enrolling in Gordon University, it was the first time that his life had been so regular, and it had lasted for half a month. All of this was something he had never imagined.

　　Finally, 15th of June, Orion completed writing his thesis.

　　It is worth mentioning that a few days ago, after learning that Orion was researching the problem of "inverting functions and their derivatives when partial Fourier coefficients are given" and had written his findings into a thesis, Prof. Tang showed a considerable degree of interest in his research and said that he could help him revise the thesis if he didn't mind.

　　On this point, Orion rather trusts the professor. Putting aside his good character and reputation, Old Tang had been a professor for so many years and had published more papers. Even if he had solved a problem that had plagued the world of mathematics for many years, Tang would only be proud to have taught such a student. 

          With an experienced expert as his advisor, the probability of his thesis getting accepted should be much higher. Therefore, Orion plans to let Professor Tang review his thesis after he finishes his advanced algebra exam.

　　As for now, well, naturally, it was the exam. After all, in addition to Advanced Algebra, there is also a history exam which Orion has never been able to figure out. "What is the use of learning this stuff for himself?" Even though complaints in his mind, he still had to patiently sat in the empty dormitory, holding the textbook.... It's still two credits, and it has some impact on the overall grade.　　

          Stay in the dormitory for the whole morning, Orion only felt dizzy and threw the textbook on the table and gave up. Looking at the ceiling of the dormitory, Orion took out his mobile phone. As it happened, someone was messaging him.

　　Isabel: [Why didn't you come to the library today? I don't understand a question, can you teach me?]

　　Isabel: [Picture]

　　Orion thought for a moment, casually edited a message and sent it over. [Just a minute, hold on ......]

　　Zooming in on the picture of the exercise, Orion randomly took a piece of draft paper, wrote and drew on it, and in less than two minutes, he finished the question. Taking out his mobile phone and taking a picture to send it over, Orion looked at the history book lying on the side and let out a heartfelt sigh. "Surely maths is more fun!"

　　...... And the exam came as scheduled.

　　After exam week, there was plenty of time to get on with his own stuff.

　　Heard the exam paper was prepared by Professor Tang, but whoever the questioner was, it's unlikely that such a final exam would look at anything beyond the syllabus. At least as far as Orion was concerned, the questions on it were easy.

　　The first question is to find the general solution of differential equations, directly in accordance with the formula will be on the line, although the formula is a little more complex, but nothing changed, in the view of Orion, is a bonus question.

　　The second question is through the spatial coordinates of the point, to find the equation of a line parallel to a line, nothing to say, is also a bonus question.

　　The third question was to find the derivative, and the fourth question was to find the integral of a curve, a bonus question.

　　The fifth question was pretty interesting, find the value of S(-5/2π) through the known equation of f(x) = ...... and the Fourier sine series expansion of f(x) with period 3/2π and function as S(x). emm......, Slightly tougher.