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Doctoral Degree Program of Mathematics

Author: Publish: 2023-07-21 View:

一、Applicable Discipline

Discipline:MathematicsDiscipline Code:0701

二、Grade

Start from 2020 admission。

三、Study Form

Full time。

四、Discipline Introduction

Mathematics is a formal and rigorous methodology of logical reasoning to study the quantitative relations, spatial forms and their movements and changes in the objective world, as well as more general relations, structures, systems, patterns and other logically possible forms and their transformations and expansion. Mathematical science plays a unique and irreplaceable role in understanding natural phenomena and describing the laws of nature. It has become a accurate scientific language and the basis of all natural sciences. Mathematics is a scientific system with wide range, many branches and a wide range of applications.

The school of mathematical science of Harbin Engineering University isinherited from the mathematics teaching and research center of Harbin Military Industry University, where Professor Lu Qingjun, a famous mathematician, mathematics educator and missile and space technology expert, served as the director. Mathematics discipline has a long history of postgraduate training and is an important base to train high-level mathematics talents. At present, it has the right to grant first-level doctor's degree and master's degree in mathematics, as well as the key laboratory of "Marine Science and Engineering Mathematical Technology" of Ministry of Industry and Information Technology, and the key laboratory of "Engineering Applied Mathematics" of Heilongjiang Province.

The mathematics discipline of Harbin Engineering University has established a high-level teaching staff with rich experience in personnel training, and has made important contributions in basic theory and application research. Basic research represented by algebra and differential equation theory and applied research represented by fluid calculation and Biomathematics have formed the characteristic research direction of the discipline. Mathematics also relies on our school's "three seas and one core" characteristic disciplines for extensive and in-depth research cooperation. Some research cooperation projects have formed products for application in related industries. The discipline attaches great importance to the internationalization of the teaching staff, with more than 50% of the total number of teachers with overseas experience for one year or more in a row. It has established stable exchanges and cooperation with universities in the United States, Britain, Japan, Australia, Canada, Mexico, South Korea and other countries, and encouraged graduate students to carry out academic exchanges during their study.

In the future, the mathematics discipline will always focus on the development frontier and application needs of the discipline, carry out scientific research work, and gradually develop into a well-known and distinctive talent training and scientific research base in the field of mathematics in China.

五、Educational Objective

It aims to cultivate high-level and high-quality academic research talents with good moral quality, discipline and law-abiding, unity and cooperation, rigorous style of study in mathematics and its application fields, as follows:

1.Familiar with Chinese culture and China’s national conditions, understand the mainstream values and public morality of Chinese society, Chinese language ability meets the national requirements, possess the ability to innovate and develop the theories, skills and methods of this discipline in the world , have a competitive advantage in international affairs.

2.Master solid mathematical basic theory and systematic expertise in the direction of this discipline, and have the ability to engage in scientific research or independently undertake technical work.

3.Be able to successfully use the corresponding foreign language to complete the learning and research tasks of the discipline and major, and have the ability to use the corresponding foreign language to engage in the relevant work of the major; have certain international academic exchange ability, and be familiar with the current situation of the research field and the international cutting-edge research trends; have a rigorous research style, good cooperation spirit and strong communication ability.

六、Main Research Field

1.Algebra and Combinatorics

2.Differential Equation Theory

3.Theory and Method in Data Science

4.Biomathematics

5.Computational Mathematics

6.Artificial Intelligence and Optimization

七、Educational Approach

We should pay equal attention to ideological and moral education and the cultivation of knowledge and ability, and combine course learning, compulsory links and dissertation. Adopt the way of tutor's independent guidance or tutor group's collective training to encourage interdisciplinary training and joint training at home and abroad. According to the requirements of the training program and the specific situation of the graduate students, the tutor and the graduate students jointly determine the research direction and develop personalized curriculum learning plan and follow-up scientific research practice, dissertation and other system training plans.

八、Study Duration

4 years, Maximum study duration is 6 years.

九、Courses and Credits, Compulsory Parts and Requirements, and Degree Thesis/Dissertation Requirements

1.Courses and Credits

Category

Code

Course

Hour

Credit

Semester

Remark

General Compulsor Courses

202032020900

Survey of China

48

3

2

Compulsory

202032020901

Chinese

64

3

1

Compulsory

Professiona

Compulsor

Courses

202012423007

Modern Analysis

48

3

1

1 compulsory course

202012423008

Abstract Algebra (Advanced)

48

3

1

202012423009

Differential Geometry

48

3

1

202012423010

Introduction to Scientific Computation

48

3

1

202012420002

Frontier of Mathematics

16

1

1

Compulsory

Optional Courses

202012420001

Thesis/Dissertation Writing

16

1

1

Optional

course

no less than

3 credits

202032020902

Chinese Communication

64

3

1

202032020903

HSK Tutoring

48

3

2

202012420003

Mathematical Research Methods

32

2

1

202012420011

Lie Algebra and Representation

32

2

2

202012420012

Combinatorial Matrix Theory

32

2

1

202012420013

Spectral Graph Theory

32

2

2

202012420014

Combinatorics in Tensor Analysis

32

2

2

202012420015

Sobolev Space

32

2

1

202012420016

Nonlinear Evolution Equation

32

2

2

202012420018

Branch Theory and Application

32

2

2

202012420019

Complex Networks and Dynamical Systems

32

2

2

202012420022

Deep Learning Methods and Application

32

2

2

Credit Requirement

Students should achieve no less than 17 credits totally, including course part 13 credits, compulsory part 4 credits.

Others

1. The interdisciplinary doctoral candidates are required to take several professional core courses designated by their supervisors, which record grades only without any credits.

2. Those who have not taken the course of "Thesis/Dissertation Writing” in the master’s degree programs are required to study it as an optional course.

3. Before the graduation, all international students are required to pass HSK band III (level) at least.

2.Compulsory Parts and Requirements

Compulsory Part

Credit

Semester

Assessment Requirement

Exam Method

Remark

Academic activities

1

5

The academic exchange link refers to the organized academic exchange and thematic discussion beyond the scope of the tutor, which can also be the conference report of international and domestic academic conferences and the academic discussion class outside the course. The doctoral students shall complete no less than 5 academic exchanges before applying for thesis defense, of which the doctoral students shall make no less than 1 report. After participating in academic activities, students should write not less than 500 words of learning reports or experience. Materials for academic exchange activities shall be signed by the teacher in charge of the lecture and then submitted to the graduate teaching secretary of the Department for filing.

Assessed by the related college

Select one part at least

Innovation competition and entrepreneurial activities

1

5

Graduate students who participate in the "China Graduate Innovation Practice Series competition" or the innovation and entrepreneurship activities organized at the national level and meet the relevant requirements of the school can obtain the scores and credits of innovation competition and entrepreneurship activities.Encourage overseas students and Chinese students to form teams to participate in the Chinese graduate mathematical modeling competition.

Assessed by the Academic Affairs Office of the Graduate School

Literature review and thesis proposal

2

4

After entering the University, the doctoral students begin to read the relevant literature of the discipline at home and abroad, with a total number of no less than 100, including no less than 80% of foreign literature, no less than 50% of literature obtained in the past five years, and complete a literature review report of no less than 5000 words. The main content of the literature review report is required to reflect the research history, current situation, frontier, development trends, development trends, existing problems and the opinions of the doctoral students at home and abroad.

The opening of a thesis is the basis of carrying out the work of a thesis and an important link to ensure the quality of a thesis. It focuses on the significance of topic selection, the systematicness and cutting-edge of literature review, the appropriateness of condensed key scientific issues, the scientificity of research programs, and the expected innovation points of research.

Literature review and opening report shall be examined by the opening report group.

Assessed by the thesis proposal group.

Compulsory

Process

assessment

1

6

The mid-term examination is one of the important links in the training process, which helps to find out the problems in the doctoral dissertation work in time, so as to ensure the quality of the dissertation. The mid-term examination shall be completed no later than one year after the opening of the examination. In case of special circumstances, the time may be adjusted appropriately after reporting to the college for filing. The content of the mid-term inspection includes: the progress of the paper according to the scheduled content and schedule of the opening report; the completed content and the phased achievements; the existing problems or expected problems. Students who pass the mid-term examination get corresponding credits.

Assessed by process assessment group

Compulsory

3.Degree Thesis/DissertationRequirements

The degree thesis requirements with the contents of academic level, academic ethics, creative outcome, thesis/dissertation writing, pre-defense and final defence of graduation:

Academic ethics:During the course of studying for a degree, doctoral students should pay attention to the cultivation and improvement of their own academic ethics, abide by the basic norms of academic research, and consciously resist academic misconduct. He / she shall attend lectures on academic ethics and academic norms organized by the University and the college, and write a study report or experience of no less than 500 words, which shall be reviewed and approved by the tutor group and then submitted to the talent training office of the college for filing. In publishing academic papers and writing dissertations, we should strictly abide by professional ethics and maintain scientific integrity in accordance with the requirements of administrative measures for academic ethics of graduate students of Harbin Engineering University. In the process of cultivating doctoral students, doctoral supervisors need to carry out academic moral education and academic standard training for doctoral students, and make clear requirements for doctoral students.

Academic level:Fully reflect that the doctoral students master solid and broad basic theories and systematic and in-depth expertise in their own disciplines; fully reflect that the doctoral students have the ability to independently engage in creative scientific research, analyze and solve key technical problems in their own disciplines; fully reflect that they have made creative achievements in the relevant fields of Science or technology in their own disciplines, and conform to the number Requirements of the school of discipline on academic papers published by doctoral candidates.

Innovative achievements:The dissertation should have new ideas on the research topic, which can promote the academic development, economic construction and social progress. The specific requirements for innovation achievements shall be implemented in accordance with the relevant documents of the school and the college.

Thesis writing:The requirements for writing doctoral dissertation shall be in accordance with the relevant documents of the University and the college.

Thesis pre defense and defense:The requirements for the pre defense and defense of doctoral dissertation shall be in accordance with the relevant documents of the University and the college.