Freshman in linear algebra, sophomore in discrete mathematics. Analytic geometry and mathematical analysis at the beginning of university are equivalent to advanced mathematics, but they are not math majors, such as advanced algebra in sophomore year, real variable function, modern algebra in junior year, probability theory and mathematical statistics, real variable function, and they basically don't attend classes in senior year, and they don't study math majors, and they certainly don't study other subjects.

High school math class will study advanced mathematics in senior three, mainly studying differential and integral. If you have not studied senior high school mathematics systematically, it is basically difficult to learn advanced mathematics well.

Probability theory is a branch of mathematics that studies the quantitative laws of random phenomena, and it is a science that studies the possibility of things happening.

Random phenomena are relative to decisive phenomena. The phenomenon that a certain result must occur under certain conditions is called decisive phenomenon. For example, at standard atmospheric pressure, when pure water is heated to 100℃, water will inevitably boil. Random phenomenon means that under the same basic conditions, before each experiment or observation, it is uncertain what kind of results will appear, showing contingency. For example, when you flip a coin, there may be heads or tails. The realization and observation of random phenomena are called random experiments. Every possible result of random test is called a basic event, and a basic event or a group of basic events is collectively called a random event, or simply called an event. Typical random experiments include dice, coins, playing cards and roulette.

The probability of an event is a measure of the possibility of an event. Although the occurrence of an event in random trials is accidental, those random trials that can be repeated in large numbers under the same conditions often show obvious quantitative laws. Probability theory is a branch of mathematics that studies the quantitative laws of random phenomena, and it is a science that studies the possibility of things happening.

Random phenomena are relative to decisive phenomena. The phenomenon that a certain result must occur under certain conditions is called decisive phenomenon. For example, at standard atmospheric pressure, when pure water is heated to 100℃, water will inevitably boil. Random phenomenon means that under the same basic conditions, before each experiment or observation, it is uncertain what kind of results will appear, showing contingency. For example, when you flip a coin, there may be heads or tails. The realization and observation of random phenomena are called random experiments. Every possible result of random test is called a basic event, and a basic event or a group of basic events is collectively called a random event, or simply called an event. Typical random experiments include dice, coins, playing cards and roulette.

The probability of an event is a measure of the possibility of an event. Although the occurrence of an event in random trials is accidental, those random trials that can be repeated in large numbers under the same conditions often show obvious quantitative laws.