What competitions can liberal arts students take: competitions in five disciplines: mathematics, physics, chemistry and bioinformatics.

Extended knowledge

The following areas of knowledge may be involved in the math contest:

1, History of Mathematics and Celebrities: Understand the development of mathematics and be familiar with some founders and celebrities in the field of mathematics, such as Euclid, Fermat, Newton and Gauss. By understanding their contributions, we can understand the essence and development trend of mathematics more deeply.

2. number theory: number theory is a branch of mathematics that studies the properties of integers and is often used in mathematical competitions. Understanding the basic concepts such as prime number theorem, Fermat's last theorem and congruence equation is helpful to solve some problems involving integer properties.

3. Graph theory: Graph theory is an independent branch of mathematics, which is closely related to some problems in mathematical competitions. Learning the basic concept of graph, the shortest path algorithm, the traversal of graph and so on is helpful to solve some problems related to network and path.

4. Linear Algebra: Linear Algebra is a branch of mathematics that studies vector space and linear mapping, which is common in higher-order problems in mathematical competitions. Understanding the concepts of matrix, determinant and eigenvalue is helpful to solve some problems related to linear algebra.

5. Combinatorial mathematics: Combinatorial mathematics is a branch of mathematics that studies the combination of discrete different objects. Understanding permutation and combination, binomial theorem, pigeon nest principle and so on is helpful to solve some problems about permutation and combination.

6. Mathematical logic and proof method: It is very important to be familiar with the logical structure and proof method of mathematics and master the basic skills of mathematical proof.

7. Mathematical modeling: Learn the basic principles and methods of mathematical modeling, and cultivate the mathematical modeling ability for practical problems. Mathematical modeling is an important direction of mathematical competition, and it is necessary to apply mathematical knowledge to solve practical problems.

8. Non-Euclidean geometry: Understand the basic concepts of non-Euclidean geometry and expand the understanding of geometry. Non-Euclidean geometry involves research other than Euclidean geometry, such as elliptic geometry and hyperbolic geometry.

9. Intersection of mathematics and computer science: Understand the intersection of mathematics and computer science, including algorithms, data structures, discrete mathematics, etc. This helps to improve the ability to solve some computer-related problems.

10, dynamic programming and optimization problems: It is very helpful to learn the basic principles and methods of dynamic programming and optimization problems for solving some optimization problems.

Through the study of the above knowledge fields, the participants in the mathematics competition can understand all aspects of mathematics more comprehensively and deeply, improve their ability to solve problems, cultivate their love for mathematics and achieve better results in the competition. This knowledge is not only beneficial to the competition, but also has positive significance for cultivating students' comprehensive quality and future academic research.