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What do you study in college mathematics?
Courses that college mathematics majors should study;

Including advanced algebra, mathematical analysis, analytic geometry, probability theory, advanced geometry, differential geometry, complex variable function, real variable function, differential equation, modern algebra, elementary number theory, general physics, computer and so on.

College mathematics courses mainly include the following aspects:

Calculus series

Calculus series is the most basic and important knowledge in college mathematics course, which mainly includes calculus principle, calculus application, multivariate function calculus, calculus equation and so on. The core content of calculus is derivative and integral. Students need to learn a series of differential and integral skills and application methods, and master how to use calculus to help us understand various problems in the real world.

linear algebra

Linear algebra is another important mathematical foundation in college mathematics course, which mainly includes vector space, matrix, linear transformation and so on. Linear algebra is not only the foundation of college mathematics curriculum, but also an important subject in other fields, such as physics, computer science, economics and so on. Linear algebra can solve many practical problems.

Probability and Statistics

Probability statistics is a very important subject in college mathematics, which mainly includes the basic principle of probability, random variables, probability distribution function, random process, statistical test and so on. Probability theory is a branch of mathematics that studies random and uncertain phenomena, while statistics is a subject that studies data collection, processing, analysis and interpretation. They complement each other and are widely used in modern science.

ordinary differential equation

Ordinary differential equation refers to a function with only one independent variable and one or more derivatives, and it is an important subject specializing in equations (differential equations) in college mathematics. It mainly studies the solution, stability, existence, uniqueness and application of differential equations. Differential equations are widely used in physics, economy, politics, biology, mechanics and other fields. Learning this subject well is conducive to improving our application ability.

mathematical analysis

Mathematical analysis is a subject covering calculus, series, real variable function, multivariate function, function theory and so on. It can be regarded as the synthesis of calculus, real analysis and complex variable function theory. Mathematical analysis is one of the important subjects in basic mathematics and the key to mastering advanced mathematics knowledge.