Undergraduate statistics is not advanced algebra (at least Cai Zhong) but mathematical analysis, which pays attention to the process of theoretical derivation and is very helpful for understanding many mathematical principles. Although statistics is different from mathematics, it needs mathematics. The knowledge of calculus is the foundation of the follow-up study of probability theory and the cornerstone of the whole statistical specialty. The requirements for calculus are relatively high, so we must master it skillfully.

2. Advanced Algebra

Higher algebra is more difficult than linear algebra, and linear algebra is simpler. My major is advanced algebra, which involves a lot of principle derivation and knowledge. Linear algebra only involves the most basic algebraic knowledge, which is not as helpful as advanced algebra for the subsequent study of probability theory and mathematical statistics.

3. Probability theory and mathematical statistics

The required course of statistics is different from the textbooks selected by colleges and universities. I used Mao's textbooks for my undergraduate course, and I also consulted the textbooks published by Zhejiang University. Mao's textbook is very difficult, which is of great help to deeply understand probability theory and mathematical statistics. Many principled things can be mastered, but after-school exercises are more difficult.