Mathematics has three characteristics: high abstraction (knowledge difficulty), strict logic (knowledge integrity) and wide application (application ability). The formulation of teaching objectives should be based on the level of students and the difficulty of combining the corresponding curriculum knowledge to determine the appropriate scope and standards. The teaching objectives of Tsinghua and the two universities are definitely different, in other words, teaching students in accordance with their aptitude. Of course, there should be corresponding standards in the department.

Function: Setting teaching objectives can certainly help teachers to make their own teaching plans, and also facilitate the unified management of the college and the exchange of experience between teachers. For example, a book has seven chapters, and the teaching goal requires learning the first five chapters well, so you can arrange more than 90% of the time for the first five chapters as appropriate, and simply introduce the rest to students. You can communicate after class if you have spare capacity or interest. Further improve the teaching efficiency.

This is just my personal opinion, there must be something wrong, please forgive me, hehe ~ ~