① Three professional basic courses: mathematical analysis, advanced algebra and analytic geometry.

② Specialized courses 12: ordinary differential equations, elementary number theory, research on solving middle school mathematics problems, teaching material analysis of middle school mathematics, introduction to mathematics education, calculation methods, discrete mathematics, modern algebra, theory of real variable function, theory of complex variable function, probability theory and mathematical statistics.

③ Specialized elective courses 1 1: Specialized English, functional analysis, point set topology, mathematical experiment, mathematical model, selected lectures on mathematical analysis, selected lectures on advanced algebra, linear programming, mathematical history and mathematical competition.

The textbooks for specialized courses studied by the Department of Mathematics of Tsinghua University generally come from Tsinghua University Publishing House. ? The differential equation is compiled according to the Course of Ordinary Differential Equation edited by Peking University Ding Tongren and Li Chengzhi. Abstract algebra is Fudan's abstract algebra. Measurement and integration: real analysis using Royden. ?

Extended data

First, the basic introduction of Tsinghua University

Tsinghua University's predecessor, Tsinghua Academy, was founded in 19 1 1. 1928 changed its name to National Tsinghua University. 1937 after the full-scale outbreak of War of Resistance against Japanese Aggression, it moved south to Changsha and formed the National Changsha Temporary University with Peking University and Nankai University. /kloc-moved to Kunming in 0/938 and changed its name to National Southwest Associated University. /kloc-moved back to Tsinghua campus in 0/946, where there are 5 colleges and 26 departments of literature, law, science, engineering and agriculture.

Facing the future, Tsinghua University will adhere to the school motto of "striving for self-improvement, respecting morality and carrying things" and the school spirit of "actions speak louder than words", adhere to the school-running style of "integrating Chinese and Western, linking ancient and modern times, infiltrating arts and sciences" and the training characteristics of "being red, specialized and developing in an all-round way", and carry forward the tradition of "patriotic dedication, pursuing Excellence" and the spirit of "humanistic renewal".

Guided by Xi Jinping's Socialism with Chinese characteristics Thought in the New Era, we should thoroughly study and implement the spirit of the 19th National Congress of the Communist Party of China, adhere to the correct direction, educate people, serve the country, persist in reform and innovation, continue to promote comprehensive reform and "double-class" construction, strive to be at the forefront in creating world-class universities, and make new and greater contributions to building a powerful country in higher education.

Second, the basic introduction of the Department of Mathematics of Tsinghua University

The Department of Mathematical Sciences in Tsinghua University has a long history. Its predecessor was the Department of Mathematics of Tsinghua University founded by 1927 and the Department of Computational Mathematics of the former Department of Engineering Mechanics, and the Department of Applied Mathematics re-founded by 1979.

Since its establishment, Tsinghua Mathematics * * * has experienced three development stages: from the establishment of 1927 to 1952 to the brilliant development stage, from the adjustment of 1952 to 1979 to the reconstruction of the special development stage, from 1979 to the present. It can be said that at every stage of development, Tsinghua Mathematics Department has made great contributions to the development of mathematics science in China and the cultivation of outstanding scientific and technological talents in China.

After several generations of continuous efforts, Tsinghua Mathematics Department has become one of the most powerful mathematics departments in China. In 2000, he was awarded the first-class doctorate in mathematics after receiving the doctorate in 198 1 computational mathematics, 1984 applied mathematics and 1998 basic mathematics. 20 1 1 was granted the first-class discipline of statistics.