Reference letter for applying for a university , thank you for your correction

As a professor of the *economic law college, (If it's the name of the college, it should be capitalized and say "As a professor at the Economic Law College of Shanghai University" Or, if it's just the 'Law College' then it should say "As a professor of economic law at the Law College of Shanghai University") of Shanghai University, I am glad to recommend my student Miss. Yang for her application in future study.

In China's 2015 college entrance examination, Miss.Yang was ranked at in the top 5% of the law school and was admitted into the excellent law class. In the following three years, she has kept a good academic grade that demonstrates her excellent learning ability.

What impressed me the most was that, after she completed the economic law course with a good grade, she still retook the course in the next semester. During the semester break, she read economics books and also took an internship at a fund management company. She did this in order to further consolidate the theoretical basis, and better understand the background knowledge of the subject. Her following performance on case studies or presentations of the course, or my another as well as in my other lecture –The Information Society and Digital Age, (names of courses should be capitalized) both improved significantly. She shows a deeper understanding of relevant knowledge, a clearer logical thinking of legal practice, and an excellent ability of in independent thinking.

In view of her excellent academic performance and rigorous study attitude, I am quite willing to recommend her for further study in an advanced university, and believe that she has enough ability to complete the study tasks in the postgraduate stage.

Professor Xiao

Reference letter for applying for a university , thank you for your correction

As a professor of the economic law -->  DO YOU MEAN "CORPORATE LAW'?  college of Shanghai University, I am glad to recommend my student, Miss. Insert First Name Yang for her application to pursue further studies in this field NOTE: Usually, targeted, individual reference letters are written for each program/institution to which a student is applying; if you can include details about the student that demonstrate their particular suitability for a specific program, your reference will be more meaningful.

In China's country-wide 2015 college entrance examination, Miss.Yang ranked in the top 5% of law school applicants and was admitted into the top-ranked law class at our institution. Over the following three years, she maintained high academic grades, demonstrating her excellent ability to learn and understand new concepts.

What impressed me the most was that, after she completed the economic law having achieved a good grade, she still retook the course in the next semester --> here, it would be helpful to say something like "purely for her own personal development"; otherwise, people might think that she was, for some reason, required to repeat the course. During the semester break, she independently undertook to read extensively on the topic of economics, and also took an internship at a fund management company in order to further consolidate her theoretical foundations and to deepen her understanding of the subject. Her subsequent performance in case studies and presentations made in the course, as well as her performance in my other lecture –The information society and digital age, both improved significantly. She shows a deeper understanding of relevant knowledge, more logical thinking in legal practice, and a high capacity for independent thought.

In view of her excellent academic performance and rigorous study attitude, I am quite --> "quite" sounds a little qualified; would you be comfortable saying "very willing"?  willing to recommend her for further study in an advanced program, and believe that she has enough --> again, somewhat qualified; use "the necessary abilities" or "ample ability" ability to complete the study tasks in the postgraduate stage.

Need a closing salutation such as "Regards," or "Sincerely," 

Professor Xiao