The postgraduate program of computational mathematics in Shandong University is an on-the-job postgraduate program under the School of Mathematics. It has five secondary key disciplines: basic mathematics, computational mathematics, operational research and cybernetics, applied mathematics, probability theory and mathematical statistics, as well as eight doctoral programs in system theory, information security, financial mathematics and financial engineering, and two postdoctoral mobile stations in mathematics and system science. Probability theory and financial mathematics, number theory and information security research rank among the top in the world and have formed important international influence; Cryptography and Information Security Laboratory is the key laboratory of the Ministry of Education, Risk Analysis and Stochastic Computing Laboratory is the key laboratory of Shandong Province, and Financial Mathematics Base is the training base of senior financial talents in Shandong Province. The training scheme for postgraduates majoring in computational mathematics in Shandong University is as follows:

I. Training objectives

Master the solid theoretical foundation and systematic professional knowledge of this subject; Have the ability to engage in scientific research or independently undertake professional and technical work. Cultivate high-level professionals who face the world, the future and modernization, develop morally, intellectually and physically in an all-round way and serve the socialist modernization.

Second, the research direction

1, numerical solution of differential equation

2. Scientific engineering calculation and software

3. Parallel computing

4. Digital Algebra

5. Computer image and video processing

6. Medical image processing

Third, training methods.

According to the principle of broad caliber and thick foundation, it is advocated to train master students according to the first-level discipline; Make full use of high-quality educational resources inside and outside the school, encourage graduate students to carry out "three experiences" and implement double-tutor cooperative training.

Fourth, the total academic achievement that should be completed

Total credit requirements: 30, including 24 compulsory credits (including frontier lectures and social practice) and 6 elective credits.

Verb (abbreviation for verb) Course category and setting

Postgraduate courses are divided into compulsory courses and elective courses.

1. Required course is a course that must be studied in order to meet the requirements of training objectives and ensure the quality of postgraduate training. Compulsory courses are divided into public degree courses, basic degree courses and professional degree courses. Basic degree courses are generally set according to the first-level disciplines, and professional degree courses are generally set according to two disciplines.

All-English teaching courses approved by the school should be included in the curriculum system of the training plan. If there are two or more compulsory courses in English teaching in this professional training plan, graduate students of the corresponding major can be exempted from taking professional foreign languages and get corresponding credits directly.

(1) Ideological and political theory, 3 credits;

(2) The first foreign language, 3 credits.

Specialized compulsory courses offered by disciplines include:

(1) professional foreign language, 2 credits, specialist assessment;

Focus on cultivating graduate students' writing ability of foreign language academic papers and international academic communication ability. Those who study two or more compulsory courses for all-English majors (the all-English courses marked in the curriculum of each major training plan are all-English courses under the construction of all-English series courses in our college, but whether or not all-English teaching has been started is subject to the examination and approval of the college) may be exempted from taking professional foreign languages, and can directly obtain corresponding credits through application.

(2) Two basic degree courses [modern functional analysis or advanced functional analysis (all English courses. You need to have a good foundation of functional analysis) choose one, basic modern algebra or advanced modern algebra (all English courses. Must have the foundation of abstract algebra in university) Choose one];

(3) Two degree courses: 1-4 direction: finite element method for elliptic equations, modern partial differential equations and numerical algebra; Require 5-6 directions: advanced numerical analysis and application of differential equations)

(4) Frontier lectures, 2 credits;

Frontier lectures aim at familiarizing graduate students with important academic theories and frontier achievements of this discipline, and improving their interest in participating in academic activities and their academic communication ability. Including personal research summary of graduate students, participation in academic reports of famous scholars, etc. It can take many forms, such as discussion classes, academic forums, and attending academic conferences. , including the introduction of domestic and foreign research trends, literature lectures, introduction of new technologies and new achievements, etc.

The scoring assessment of master students' frontier lectures is divided into two parts: master students should at least listen to the frontier series of expert lectures 15, and the examiner should be signed by the tutor or the person in charge of the organization department; During the reading period, the master participated in two discussion lectures or personal research reports, each of which was not less than 2,000 words. The members of the tutor group use the frontier report evaluation registration form to evaluate the results and write comments. Examination results, scores for passing and failing, and those who pass the examination are recorded as 1 credit. At the end of the fifth semester, submit a personal frontier report registration form (including 15 approved lecture record, 2 assessment comments and frontier lecture written report) to the Graduate Academic Affairs Office to register the achievements of frontier lectures.

(5) Social practice, 2 credits;

Social practice, 2 credits. Each major can understand and solve hot practical problems according to the actual discipline and combined with professional learning. The college will provide graduate students with teaching practice, scientific research practice and social practice positions for them to choose and exercise, and they can also practice in the off-campus practice base contacted by their tutors. Participate in social practice for not less than 64 hours. Graduate students themselves need to fill in the "Shandong University Postgraduate Teaching Practice Assessment Form" or "Shandong University Postgraduate Social Practice Assessment Form", and the person in charge of each post will write assessment opinions to the practitioners. Only those who pass the assessment can get 2 credits for social practice.

2. Elective courses are designed to broaden the knowledge of graduate students, improve their knowledge structure or deepen their knowledge.

Elective courses are divided into professional elective courses and non-professional elective courses. Non-professional elective courses include cross-professional elective courses and public elective courses offered by schools. Encourage graduate students to take interdisciplinary courses.

Elective courses offered by the school for graduate students include:

(1) Postgraduates' second foreign language, 4 hours a week, one semester, 2 credits;

(2) physical education class, 1 credit;

(3) Psychology course, 1 credit;

(4) There shall be no less than two professional elective courses (see the professional curriculum for details).

Makeup class

Interdisciplinary or equivalent graduate students must make up 1 course, which is the basic course of degree for first-level mathematics undergraduates: mathematical analysis, advanced algebra and ordinary differential equations. Please refer to the professional curriculum for details.

Make-up undergraduate courses must be qualified but no credits are recorded.

Six, mid-term screening

Master students implement a mid-term screening system. At the end of the third semester or the beginning of the fourth semester, the mid-term screening of master students will be carried out. Graduate students should complete the courses stipulated in the training plan before the mid-term exam, and determine the thesis writing plan, and combine the thesis opening report to screen graduate students in the mid-term. The screening contents include:

1. Political and ideological assessment: it mainly assesses students' usual political study, ideological expression, moral quality, organizational discipline, etc. The assessment team should refer to the "conduct assessment" of master students and the academic performance of political courses, listen to the introduction of each student's political and ideological performance by tutors and political counselors, and make a realistic evaluation.

2. Business learning assessment: comprehensive subject examination, combined with master students' course learning completion, scientific research ability and professional foreign language level.

(1) comprehensive examination of disciplines: the examination scope should include degree courses and professional elective courses, focusing on the breadth and depth of master students' mastery of basic theories and professional knowledge of disciplines and their ability to comprehensively apply what they have learned to analyze and solve problems. The examination form can be written examination, or a combination of oral examination and written examination. Comprehensive examination papers (or records) shall be kept by all training units for future reference.

Professional foreign language proficiency assessment is organized and implemented by professional assessment teams.

(2) the assessment of scientific research ability should be combined with the opening report of the paper, the literature review report of not less than 2000 words, the progress of the paper and the scientific research results. The opening report of the paper should be made public.

Those who fail to pass the mid-term screening shall be dealt with according to the relevant provisions of the Detailed Rules for the Implementation of Graduate Student Status Management of Shandong University.

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