1. The basic knowledge is not solid: advanced mathematics is based on elementary mathematics. If students don't master the basic concepts and methods of elementary mathematics in senior high school, it will be difficult for them to learn advanced mathematics.

2. Change of thinking mode: Compared with elementary mathematics, advanced mathematics pays more attention to abstract thinking and logical reasoning. For some students who are used to specific operations, this change in thinking mode may make them feel uncomfortable.

3. Improper learning attitude and methods: Some students lack interest in advanced mathematics and think it is difficult and useless, so they lack enthusiasm in the learning process. In addition, some students do not have effective learning methods, such as reviewing and summarizing in time, which will also affect the learning effect.

4. Teachers' teaching level is uneven: Although most colleges and universities have excellent math teachers, some teachers' teaching level is not high, which can't guide students to understand and master the knowledge of advanced mathematics.

5. Unreasonable curriculum: Some universities pay too much attention to theory and neglect practical application when offering advanced mathematics courses. This will lead to students' lack of motivation in the learning process and it is difficult to apply what they have learned to practical problems.

In a word, college students may encounter many difficulties in learning advanced mathematics. In order to overcome these difficulties, students need their own efforts and appropriate guidance and support from schools and teachers.