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Training Scheme for Postgraduates Majoring in Basic Mathematics in Mathematics Department of Nanjing University
The Department of Mathematics of Nanjing University has a long history, strong strength and rigorous scholarship. Since the establishment of the department, a group of outstanding mathematicians have taught in the department successively, laying the discipline framework and characteristics of the department and forming a relatively complete teaching system. Its academic influence has always been in a leading position in China and has a certain reputation in the world. Now it is the national base for training talents in basic science, applied science research and teaching. Among the graduates of our department, there are world-class mathematicians like Tian Gang and Dai Jiangang, and famous entrepreneurs like Tao Jianxing, general manager of Chunlan Group. In recent years, a large number of outstanding graduates have also begun to emerge in their respective jobs. The training scheme for graduate students majoring in basic mathematics in the Department of Mathematics of Nanjing University is as follows:

1. Postgraduates: Postgraduates are trained in the form of professional guidance groups, with courses as the main part and dissertations as the supplement. In the first academic year after admission, graduate students mainly study the basic courses of their major, understand the basic situation of various research directions, and gradually clarify their research interests; Before the end of the second semester, teachers and students choose each other to determine the instructor, and then the instructor makes the training plan according to the actual situation and is responsible for the main training work.

2. Advance doctoral students: In order to ensure the continuity of excellent doctoral students and scientific research work, outstanding graduate students are selected from the second-year master students to study for doctoral degrees in advance according to the proportion of no more than 60% of the total number of doctoral students admitted in the previous year; The requirements for selecting graduate students are: strong professional interest, excellent mid-term assessment, foundation and ability of scientific research and innovation, and some graduate students who have outstanding talents or achieved important results during their studies are not limited by grades and places; The academic system of graduate students studying in advance is 5 years. After completing the credits, you will enter the doctoral stage directly in the third year, and you will not be awarded a master's degree without making a master's degree thesis. At the end of the third semester, the Academic Degrees Committee will evaluate the qualifications of graduate students who apply for doctoral degrees in advance, including ideological and moral character, academic performance of core courses and scientific research ability. Those who pass will become early doctoral students, and those who fail will continue to be trained according to the requirements of master students. When doctoral students apply for a degree in advance, the research requirements are the same as those of ordinary doctoral students.

3. Doctoral students: The cultivation of in-service doctoral students is mainly based on dissertations, supplemented by course learning. Doctoral students should clearly guide their teachers when applying for the exam. After entering the school, the tutor is responsible for organizing the establishment of a steering group and making a training plan. Doctoral tutors and steering groups are responsible for all training. Doctoral students need to take 2-4 professional degree courses under the guidance of tutors, among which the courses taught by tutors are limited to 1-2 courses. Doctoral students choose cutting-edge topics or topics with important application value for research under the guidance of their tutors. Encourage graduate students to publish research results in high-level academic journals.

4. Cultivation of graduate students' comprehensive ability and quality: The tutor should arrange for master students and doctoral students to attend seminars and give lectures, encourage them to listen to more academic lectures and reports in their major and related directions, deepen their foundation, expand their knowledge, and consciously cultivate their creativity, problem analysis and problem solving skills, language expression and writing skills.

Evaluation method

1, public courses and professional basic courses are mainly closed-book written tests.

2, professional courses can be written, write a comprehensive report, or combined with oral examination, to examine the degree of mastery of professional knowledge, comprehensive analysis ability, problem-solving ideas and so on.

3. Mid-term evaluation: The professional teaching and research section is responsible for organizing a mid-term evaluation team to comprehensively evaluate the progress of master's degree courses, professional courses and papers, the latest research trends at home and abroad, the mastery of references, politics, ideology and morality, and make concluding comments. Those with good ideological and moral character, excellent academic performance and promising doctoral training can be recommended to study for a doctoral degree in advance; Those with good academic performance and certain scientific research ability will enter the master's thesis stage; Individuals who are poor in learning, or obviously lack scientific research ability, or are not suitable for further study for other reasons, will terminate their studies, which will be reviewed by the department head and reported to the graduate school for approval.

4. Doctoral qualification examination: All postgraduate students who apply for doctoral studies in advance must pass the doctoral qualification examination. At the end of the third semester, the Academic Degrees Committee will evaluate the qualifications of graduate students who apply for doctoral degrees in advance, including ideological and moral character, academic performance of core courses and scientific research ability. Those who pass will become early doctoral students, and those who fail will continue to be trained according to the requirements of master students.

5. Examination of doctoral students: The doctoral tutor guidance group is fully responsible for the examination of doctoral students.

6, all the assessment (examination), should include graduate students' mastery of professional basic theoretical knowledge and related knowledge, and focus on their ability to analyze and solve problems and innovation ability.

Academic paper

Postgraduate dissertations are an important part of postgraduate training. The topic selection of the thesis is carried out under the guidance of the tutor. The topic selection of doctoral students should be the frontier and leading discipline in this direction, and the topic selection of master students should strive to become a hot spot in this field; After the thesis is selected, it should be completed under the guidance of the tutor on the premise that the graduate students think independently and work independently. It is required that the dissertations should have original opinions and novel achievements in order to obtain excellent dissertations evaluation.

Defense and degree awarding

After the graduation thesis of graduate students is completed, it is first reviewed by the tutor. After the examination and approval of the tutor, it shall be handled in accordance with the relevant provisions of the graduate school on the defense of postgraduate dissertations and degree applications.

Tutors should pay special attention to the creative achievements, new ideas, new concepts, new methods and shortcomings of in-service graduate dissertations. Tutors should also be aware of the academic papers completed and submitted by doctoral and master students, and have high standards, so as to achieve the goal of cultivating excellent graduate students.

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