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Which textbook should be used for calculus, linear algebra, probability theory and mathematical statistics?
Advanced Mathematics: Advanced Mathematics Written by Tongji University 6th Edition Higher Education Press Green

Linear Algebra: The 4th or 5th edition of Linear Algebra edited by Tongji University Higher Education Press (purple).

Probability theory and mathematical statistics: Zhejiang University Press (blue), 4th edition, Probability theory and mathematical statistics, edited by Sheng Shu of Zhejiang University.

This is required by the outline!

Math tutorial watching Li Yongle's Review Book is quite basic, but you are self-taught. I suggest you find a remedial class to watch the basic course video several times! Basically, you can understand the examples in the review book, so there will be no problem in Math III.