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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!

Li Yongle's review book for math course is quite basic, but you are self-taught. I suggest you find a remedial class and read it several times! Basically, you can understand the examples in the review book, so there will be no problem in Math III.