1. Basic knowledge: The upgraded version of Lecture for Proposers of Olympic Mathematics pays more attention to the in-depth understanding and application of basic mathematical knowledge than the original version. The upgraded version will explain the principle and proof process of mathematical concepts and theorems in more detail to help the audience build a more solid mathematical foundation. It is helpful for the audience to flexibly use what they have learned in the process of solving problems and improve the accuracy and efficiency of solving problems.

2. Problem-solving skills: The original proposer's lecture mainly focuses on the common problem-solving skills and methods in the Mathematical Olympics. The upgraded version will further provide more problem-solving skills on this basis, so that the audience can deal with more complex and challenging math problems. For example, in the content of series summation, the upgraded version will introduce more skills, such as "dislocation subtraction", to help the audience solve various series summation problems more flexibly.