1. Depth of knowledge: High school mathematics mainly involves elementary mathematics, such as algebra, geometry and trigonometry. And college mathematics is more in-depth, involving advanced mathematics, linear algebra, probability theory, mathematical statistics and so on. The knowledge system of college mathematics is more huge, which requires students to have strong abstract thinking ability and logical reasoning ability.

2. Learning methods: High school mathematics pays attention to the accumulation and application of basic knowledge, and the learning methods are mainly memory and practice. College mathematics pays more attention to the establishment and understanding of theoretical system, and the learning method is mainly understanding and thinking. College mathematics requires students to have strong self-study ability and problem-solving ability.

3. Teaching methods: High school mathematics teaching usually adopts traditional teaching methods, with teachers leading the classroom and students learning according to teachers' ideas. However, college mathematics teaching pays more attention to heuristic teaching, encourages students to ask questions, discuss and think independently, and cultivates students' innovative ability and teamwork ability.

4. Exam form: High school math exams usually focus on multiple-choice questions, fill-in-the-blank questions and problem solving, focusing on students' computing ability and problem solving skills. However, college mathematics examination pays more attention to the understanding and application of theoretical knowledge, and the questions include proof questions, analysis questions and application questions, which require students to have strong ability to analyze and solve problems.

5. Scope of application: High school mathematics is mainly used to solve practical problems in daily life, such as calculation and measurement. College mathematics is widely used in scientific research, engineering technology, economic management and other fields, laying a solid foundation for students' future career.