Generally speaking, advanced mathematics is the foundation of college mathematics, with comprehensive content and wide coverage. It covers mathematical analysis, advanced algebra and spatial analytic geometry, which I have studied in the past, but advanced mathematics is relatively shallow. Probability theory, like mathematical statistics, advanced algebra and spatial analytic geometry, has a single research, but it is targeted and comparative.
From my past study of these subjects (I have never studied advanced mathematics, and students majoring in mathematics do not study advanced mathematics), I personally feel that probability theory (a professional course for sophomore) is more difficult, and he requires a good mathematical foundation. Mathematical statistics is not easy to learn, and it is based on the high number of freshmen.
Because probability theory and mathematical statistics are both courses for mathematics majors, the study of advanced mathematics is more difficult than other majors. Advanced mathematics only studies the basis of college mathematics, and the mathematics curriculum of mathematics specialty is definitely better than that of other majors.
So I personally suggest that advanced mathematics (1) is a good choice if you take the exam yourself. If the landlord wants to get good grades, he should do more exercises and understand the theorems and definitions in the book.
Finally, I wish the landlord satisfactory results and all his wishes come true!