This 15 girl has been sent to high school since junior high school, and she has university-level mathematics knowledge, which is really impressive. Her academic performance and ability obviously exceed the level of her peers, which shows that she is diligent and talented. Mastering advanced mathematics, linear algebra, discrete mathematics and other university-level knowledge at this age requires continuous efforts and in-depth study.

This experience of early training and early exposure to university knowledge can lay the foundation for her to achieve higher academic achievements in the future. At the same time, her study of college-level mathematics knowledge may be helpful for her to choose science and engineering majors in the future. This will enable her to keep up with the courses more smoothly after entering the university and gain an advantage in academic research and competitions.

However, while praising the student's achievements, we should also pay attention to the fact that studying early in advance may increase her academic pressure and make her miss the opportunity to grow and develop with her peers. Therefore, she needs to comprehensively consider her hobbies, study burden and social development to ensure her all-round development and physical and mental health.

On the whole, this 15-year-old girl's academic performance and math ability are really amazing, which shows her talent and hard work. I hope she can continue to maintain her enthusiasm and efforts, give full play to her potential and achieve her goals in the future.