1. Elementary Certificate of Mathematical Engineering Thinking: It mainly examines candidates' mathematical foundation and application ability, including knowledge and skills in mathematical language, mathematical thinking, mathematical model and data analysis.

2. Intermediate certificate of mathematical engineering thinking: it mainly examines the candidates' mathematical application ability and ability to solve practical problems, including knowledge and skills in mathematical modeling, optimization methods, numerical calculation, probability theory and mathematical statistics.

3. Advanced Certificate in Mathematical Engineering Thinking: It mainly examines the candidates' mathematical theory and application ability, as well as the application ability of advanced mathematical methods in engineering practice, including knowledge and skills in calculus, linear algebra, complex variable functions, partial differential equations and so on.