Mathematics (Taught in Chinese)
1. Introduction
The Department of mathematics was established in April 1956. It began to cultivate master graduate students in 1982, and was authorized the right to grant master's degree of pure mathematics in 1995. In 2006, it got the discipline master's degree-awarding authority, while it got the PhD’s level discipline degree-awarding authority in 2013. At present, mathematics discipline is mainly composed of mathematics department and applied mathematics department in the College of mathematics and computer science. At the same time, there are five key research institutions, one national 111 plan innovation and intelligence introduction base, and one international science and technology cooperation base in Zhejiang Province. They also participate in the construction of several provincial, ministerial and national platforms in our university. Mathematics has two undergraduate programs, two doctoral programs and a postdoctoral research station.
Firstly, the Master of Philosophy (MPhil) Program seeks to strengthen students’ general background in mathematics and mathematical sciences, and to expose students to the environment and scope of mathematical research. A candidate for an MPhil degree is expected to demonstrate knowledge in the discipline and to synthesize and create new knowledge, making a contribution to the field. It can be a terminal degree or a preliminary degree leading to the PhD.
Secondly, the Master of Philosophy (MPhil) Program in mathematics also deepens and extends secondary school mathematics teachers’ understanding of mathematics and its learning and teaching. Through a focus on both theory and practice, this program enables teachers to strengthen their classroom effectiveness, to assume leadership roles in curriculum and instruction and, if so desired, continue with doctoral study in mathematics education.
2.Normative Program Duration
The normal period of master's degree program of the first-level discipline is 3 years, not more than 5 years. Among the first three semesters, graduates should accomplish the study of public courses, platform courses, direction courses and interdisciplinary curriculum, while completing compulsory courses and the proposals of master's degree, etc. Graduates should write thesis of master's degree and conduct oral defense. Especially outstanding graduate students can apply for graduation in advance.
3.Enrollment Target
Applicants seeking admission to a master's degree program in mathematics should have obtained a bachelor’s degree from a recognized institution, or an approved equivalent qualification in mathematics or math-related majors.
4. Minimum Credit Requirement and Curriculum
(1)Minimum Credit Requirement
Course Classification | Degree Courses | Non-Degree Courses | Compulsory Part | ||||
Public Courses of Degree | Platform courses of Discipline
| Professional Degree Courses | Professional Elective Courses | Interdisciplinary Elective Courses | Public Elective Courses | Seminars/ Talks | |
Minimum Credit Requirement | 7 | 6 | 6 | 6 | 2 | 0-2 | 3 |
Total Credits | No less than 31 credits |
(2)Curriculum
For details of Curriculum Provision, please refer to the course schedule of postgraduate for academic master's degrees of this discipline.
5. Training Mode and Teaching Mode
1.Students typically spend three years in the master's degree program. Therefore, upon matriculation, each master's degree student is assigned a faculty adviser to assist with the careful planning needed for an optimal educational experience. In consultation with the adviser, students are asked to formulate a tentative study plan. This plan is subject to change over the year as is appropriate or necessary.
2.The cooperative training model, i.e., combining with tutorial system and collective cultivation, is implemented for graduates. Usually, graduates should mainly participate in academic discussions and daily activities conducted by their tutors or other tutors whose discipline directions are related, while the graduates can also chose directions of other tutors in the same discipline and engage in academic research, and then write thesis.
3.Teaching of all courses are conducted with special topics by adopting the methods of heuristic, study, discussion, self-learning and the style of students' lectures are commented by teachers. For the teaching methods, tradition and modern multimedia technology are combined.
4.The main forms and approaches for research training are reading variety of literature of relevant study directions, grasping research methods and frontier trends of the discipline, then proposing open questions and discussing with tutors, and researching. During the period of all semesters, graduates are required to take part in all kinds of academic reports and academic lectures.
5.During the period of all semesters, graduates must take part in some activities, such as educational and instructional practice, social practice and social investigations, etc. In addition, every graduate must carry out teaching counseling for at least 3 months, such as correcting homework, answering questions, coaching experiments and so on.
5. Training Links
Please refer to《Introduction to training links of postgraduate for academic master's degree of Zhejiang Normal University》.
6. Research Foci
The program is offered by the Department of Mathematics with the following research foci, strengthening students’ knowledge in mathematics and training them to carry out original research independently and innovatively.
Research Areas | Research Foci |
Pure Mathematics | Harmonic Analysis and Its Applications |
Nonlinear Functional Analysis | |
Differential Geometry | |
Non-commutative Algebra | |
Applied Mathematics
| Dynamical Systems |
Partial Differential Equations and Fluid Mechanics | |
Statistical Machine Learning Theory | |
Computational Neuroscience | |
Numerical Calculation | |
Mathematical Physics | |
Operations research and cybernetics
| Graph Theory |
Combinatorics | |
Optimization Theory and Algorithm | |
Intelligent Control | |
Operations Research and Management Science | |
Control Theory |
7. Research Ability and Level
1. Graduates should be able to read scientific literature independently, and can summarize literature for the related issues. Graduates should be able to conduct inductive logic for the problems generated in the process of summarizing literature, and then have a further improvement.
2. Graduates should be able to carry on research design and thinking independently, should have a basic ability of investigating methods and problems, should be also able to propose some relatively mature views and ideas.
3. A student must successfully complete the Prospectus Defense.
4. Before oral defense of master's degree, the graduates should publish at least one paper in the open academic journals. What's more, the first author must be the graduate, or his tutor is the first author and the graduate is the second author.
5. The final step is a successful public defense of the student’s Master dissertation.
8. Degree Thesis and Degree Conferment
1. The degree thesis topic has big theoretical value and actual application prospect, correct and full argument, scientific method, novel viewpoint, original opinion, strict logicality, complete structure, and appropriate content.
2. The whole degree thesis should accurately summarized thesis topics (research direction) involved the necessary basic theory, latest results and dynamic research state. The main content and main viewpoints can reflect the latest research results and innovation in this field, and reflect the actual level of postgraduates to discover problems, analyze and solve problems.
3. Graduates, who pass oral defense by all of the committee members and satisfy at least one of the following conditions, will be granted master's degree. One is that, graduates conform paragraph 4 of article 7. The other is that, blind review score of thesis are all no less than 80.
4. The Prospectus Defense: During the Prospectus Defense, a candidate must present the prospectus of his/her proposed dissertation research for approval by the committee. At this time, the candidate must demonstrate a thorough understanding of the dissertation topic. The signatures of all committee members are required to pass the defense.
5. The Dissertation Defense: After successful completion of the Prospectus Defense, and upon mutual agreement between the supervisor and the candidate that the dissertation is complete, the candidate must undertake a final public defense of the dissertation. The dissertation must be delivered electronically or in print to all of the committee members at least 20 business days before the date of defense. A majority vote of the committee members is required in order to pass the defense.
The Curriculum Plan of Full-Time Master of the First-Level Discipline of Zhejiang Normal University
Course Classification | Course Number | Course Name | Credits | Credit Hours | Semester | Notes | ||
Degree Courses
| Public Courses of Degree (7 credits) | 1034502151 | Overview of Chinese society | 1 | 18 | 1 | Obligatory | |
1034502149 | 综合汉语(一) | 1 | 72 | 4 |
| |||
1034502150 | 综合汉语(二) | 2 | 72 | 4 | Required for International Students | |||
Platform courses of Discipline
| 0701002205 | Algebra | 3 | 54 | 1 | At least 2 courses | ||
0701002206 | Real Analysis | 3 | 54 | 1 | ||||
0701002202 | Functional Analysis | 3 | 54 | 1 | ||||
0701002203 | General Topology | 3 | 54 | 1 | ||||
0701002204 | Operational Research | 3 | 54 | 1 | ||||
0701002207 | Probability Theory | 3 | 54 | 1 | ||||
0701002208 | Differential Geometry | 3 | 54 | 1 | ||||
0701002210 | Partial Differential Equations | 3 | 54 | 1 | ||||
0701002211 | The Design and Analysis of Algorithms | 3 | 54 | 1 | ||||
Professional Degree Courses
| 7010023015 | Hopf Algebra | 2 | 36 | 2 |
At least 3 courses
| ||
0701002518 | Rings and Categories of Modules | 2 | 36 | 2 | ||||
0701002344 | Complex Geometry | 3 | 54 | 1 | ||||
0701002349 | An Introduction to Homological Algebra | 2 | 36 | 2 | ||||
0701002303 | Foundation of Fourier Analysis | 2 | 36 | 1 | ||||
0701002310 | Complex Analysis | 2 | 36 | 2 | ||||
0701002334 | Convex Analysis | 2 | 36 | 2 | ||||
0701002307 | Theory of Minimax | 2 | 36 | 3 | ||||
0701002510 | Theoretical Basis of Function Space | 2 | 36 | 1 | ||||
0701002301 | Operator Theory | 2 | 36 | 2 | ||||
0701002350 | Fundamentals of Nonlinear Functional Analysis | 2 | 36 | 2 | ||||
0701002325 | Bifurcation and Chaos | 3 | 54 | 2 | ||||
0701002332 | Numerical Method for Nonlinear Equation | 3 | 54 | 2 | ||||
0701002341 | Advanced theory of Differential Equation | 3 | 54 | 2 | ||||
0701002343 | Discrete Dynamical System | 3 | 54 | 2 | ||||
0701002321 | Qualitative Theory of Differential Equations | 3 | 54 | 1 | ||||
0701002523 | Soliton Theory | 3 | 54 | 1 | ||||
0701002525 | Integrable System | 2 | 36 | 1 | ||||
0701002345 | Bifurcation Theory of Limit Cycle | 3 | 54 | 2 | ||||
0701002346 | Exact Solution Method of Nonlinear Partial Differential Equation | 3 | 54 | 1 | ||||
0701002572 | Mathematical Modeling and Symbolic Calculation | 3 | 54 | 1 | ||||
0701002323 | Mathematical Equations for Physics | 3 | 54 | 1 | ||||
0701002347 | Basic Course of Mathematics Writing | 2 | 36 | 1 or 2 | ||||
0714002304 | Mathematical Statistics | 2 | 36 | 1 | ||||
| An Introduction to Measure Theory | 2 | 36 | 2 | ||||
0701002339 | Module Theory | 3 | 54 | 2 | ||||
0701002340 | Methods in Discrete Mathematics | 3 | 54 | 2 | ||||
0701002328 | Combinatorial Mathematics | 3 | 54 | 2 | ||||
0701002342 | Graph Theory | 3 | 54 | 1 | ||||
0701002322 | Theory and Methods of Optimization | 3 | 54 | 1 | ||||
0701002324 | Numerical Approximation | 3 | 54 | 1 | ||||
0701002329 | Stochastic Process | 3 | 54 | 1 | ||||
0701002333 | Non smooth Analysis and Optimization | 2 | 36 | 3 | ||||
0701002520 | Multi-Objective Optimization | 3 | 54 | 2 | ||||
0701002550 | Stochastic Differential Equation | 2 | 36 | 2 | ||||
0701002571 | Pandeway Analysis | 3 | 54 | 2 | ||||
0701002352 | Approximation Algorithm | 2 | 36 | 2 | ||||
0701002353 | Fourier Analysis and Nonlinear Partial Differential Equations | 3 | 54 | 3 | ||||
Non-Degree Courses
| Professional Elective(At least 6 Credits) | 0701002503 | Banach geometric theory | 2 | 36 | 3 | At least 3 courses
| |
0701002505 | Infinite Dimensional Morse Theory | 2 | 36 | 3 | ||||
0701002565 | algebraic geometry | 2 | 36 | 2 | ||||
0701002309 | algebraic topology | 3 | 54 | 2 | ||||
0701002566 | Riemannian geometry | 3 | 54 | 2 | ||||
0701002567 | differential topology | 2 | 36 | 3 | ||||
0701002568 | geometrical analysis | 2 | 36 | 3 | ||||
0711012506 | Lie algebra and symmetry | 3 | 54 | 2 | ||||
0701002517 | Quantum Group | 2 | 36 | 3 | ||||
0701002509 | 2 | 36 | 2 | |||||
0701002511 | Application basis of harmonic analysis | 3 | 54 | 3 | ||||
0701002563 | Sobolev Space | 2 | 36 | 2 or 3 | ||||
0701002551 | Variational Inequalities Theory and Its Application | 2 | 36 | 3 | ||||
0701002513 | Operator Theory in Analytic Function Space | 2 | 36 | 2 | ||||
0701002504 | second-order elliptic equations | 2 | 36 | 2 | ||||
0701002569 | Attractors of mathematical physics equations | 2 | 36 | 2 | ||||
0701002570 | Introduction to ellipses and parabolic equations | 2 | 36 | 3 | ||||
0701002504 | Second-Order Elliptic Equations | 2 | 36 | 2 | ||||
0701002575 | Hamiltonian System Theory and Applicatio | 3 | 54 | 3 | ||||
0701002552 | Optimization Algorithm and Its Program Implementation | 2 | 36 | 3 | ||||
0701002540 | Neural Network | 2 | 36 | 3 | ||||
0701002554 | Singular Integral Operators Theory Foundation | 3 | 54 | 1 | ||||
0701002556 | Hybrid System Theory | 3 | 54 | 2 | ||||
0701002338 | Foundation of Infinite Dimensional Dynamical Systems | 3 | 54 | 2 or 3 | ||||
0701002564 | Stability Theory | 2 | 36 | 2 or 3 | ||||
0701002574 | Branch theory topic | 3 | 54 | 3 | ||||
0701002542 | Probabilistic Method | 2 | 36 | 3 | ||||
0701002521 | multivariate statistical analysis | 2 | 36 | 2 | ||||
0701002526 | Hypergraph | 2 | 36 | 3 | ||||
0701002553 | Dyeing Theory of Graph | 2 | 36 | 3 | ||||
0701002546 | Algebraic Graph Theory | 2 | 36 | 3 | ||||
0701002558 | Extremal Combinatorics Theory | 2 | 36 | 2 | ||||
0701002559 | Combinatorial Matrix Theory | 2 | 36 | 2 | ||||
0701002560 | Combinatorial Optimization | 2 | 36 | 2 | ||||
0701002543 | Optimum Control | 2 | 36 | 3 | ||||
0701002545 | Non-Linear Control System | 2 | 36 | 3 | ||||
0701002532 | Matrix Calculation | 2 | 36 | 2 | ||||
0701002576 | 3D-Navier-Stokes equation | 3 | 54 | 2 | ||||
0701002577 | Geometric approximation algorithm | 2 | 36 | 2 | ||||
0701002578 | Basis of kinetic equations | 2 | 36 | 3 | ||||
0701002579 | Basis of hyperbolic conservation law equations | 2 | 36 | 2 | ||||
0701002580 | Elementary Mathematics from an Advanced Standpoint | 2 | 36 | 2 | ||||
Interdisciplinary Elective |
| According to“Interdisciplinary courses summary table of Zhejiang Normal University” | 2 or 3 |
| 2 or 3 | At least 1 course and 2 credits | ||
Public Elective | 1034502199 | Postgraduate Sports | 1 | 18 | 1-3 | Elective | ||
Compulsory Part
| 1034502801 | Professional Practice (≥3months) | 2 |
| 4/5 |
| ||
1034502802 | Academic Activity (10 times as a participant; twice as a Reporter) | 2 |
| 1-6 |
| |||
1034502803 | Teaching Assistant for Undergraduate Curriculum | 1 |
| 3-4 |
| |||
The repair |
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|
|
| 1 or 2 | Interdisciplinary or equivalent entrants are required to take remedial courses | ||
Total Credits | No less than 31 credits |