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Mathematics (Taught in Chinese)

来源 : lxslaoshi     作者 : September

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 teachersunderstanding 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.


2Normative 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.

3Teaching 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.

4The 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.

5During 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 ElectiveAt 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

Hardy Space

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
course

 

 

 

 

1 or 2

Interdisciplinary or equivalent entrants are required to take remedial courses
(no classes)


Total Credits

No less than 31 credits