i am writing this letter of recommendation for mr.caleb,my former student. i have known mr. caleb for more than 6 years since his freshman year at "university of minnesota". at that time, he took the course-- "mathematical analysis," which i taught mainly for junior students majoring in mathematics. to my surprise, i found he was among the few students in his class who could keep up with the pace of my lectures. moreover, he often posed thought-provoking questions during the course. thus it was natural that i liked discussing with this young man and became familiar with him. the more i knew him, the more i found he was talented at mathematics. as you can see, he got excellent scores on the course. in fact, he ranked no. 1 on this 270 hours course in the talented student class which has 34 intelligent others.
with his outstanding talent and solid mathematical background, he also did quite well in most other courses during his undergraduate study. by the way, you may wonder why his undergraduate scores look not so good compared to other chinese applicants. it is easy to explain, because he belonged to the talented student class, which were required to endure harder test papers and stricter grading than most other college students did at least at "university of minnesota".
he even served as prof. linda s research assistant for one year. no one could deny his commitment to his job. as a matter of fact, prof. linda s electronic lab happened to be neighboring my office and i could always see him working in the lab, either repairing the instruments or helping prof. linda collect lab reports. maybe one more example will demonstrate his commitment more clearly. once he suggested compiling a fortran program to solve a complicated circuit problem in his class. in order to do that, he had to do a lot of computer work. however, because there were few computers available in our computer lab, he had to wake up at 5 a.m. in winter ***please note: "twin city" is a downtown near the north border of china, so it is pretty cold in winter and the heating system is not working very well.*** to ensure the 1st position of the long waiting line for his classmates and himself! at last he and his classmates finished the program successfully with his great efforts.
as to his personality, i would like to say mr. caleb is a warm-hearted, honest and upright student. he was always ready to help others. during my lectures, many students got confused at some points and i could always see mr. caleb help them explain during breaks. in the meanwhile, i must admit that mr. caleb was a bit impatient sometimes.
finally, i would like to conclude my recommendation as follows: frankly, mr. caleb is not a genius, but i promise his great intelligence, commitment to work and his kind nature will impress you deeply. thus i recommend him without reservation for his admission and financial aid to your program. please feel free to contact me if needed.
i strongly recommend miss × for admission to your graduate program. she has proven herself an excellent student not only in my class but also in other major courses.
she was a former student of mine in the course of mathematical analysis during the second semester of the academic year 1991-1992. she is brilliant and she capability of abstract reasoning is above most of her peers. i still remember it was always she who first raised her hand and answered the difficult questions. apart from this, she was eager to learn and always had many new ideas out of my expectations, some of which reflected her originality and independent thought. at the end of course, she achieved a high score of 98 and surpassed all the other students in the class.
in my 30-year teaching career, miss × is an unusual student with surprising stamina and perseverance toward goals. just depending on this fine qua×ty, she?a girl born in a small mountain village?has grown up to be an outstanding student in a famous university step by step.
miss × not only shows energy and initiative in her work, but she is also flexible and adaptable. she possesses an outgoing personality which will assist in her greatly in adapting herself to a long term of overseas study.
all in all, she is quite qualified for graduate study and your admission of her application will be highly rewarded.
senior professor of mathematics