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Education Graduate Program for Master’s degree
Graduate Program for Master’s degree
I. Basic Principles
A. Mission Statement
The Graduate School of Mathematics aims to cultivate/nurture self-motivated individuals, who can successfully navigate inquiry, reflection, and discovery based upon scholarly training in mathematics. Our commitment is to maintaining an enlightening environment for problem-conscious students where, together with scholars and fellow students, they can refine their ideas and apply logical reasoning in seeking solutions to problems.
Prospective students should know that in the mathematics department:
B. Study Hints
To ensure academic excellence, students are advised
C. Essential Abilities
Students are expected to develop the following research abilities:
D. Subject to learn
Students are expected to gain a strong command of the following through our curriculum:
II. Academic Support
The main features of our academic support systems are summarized below.
A. Advisor System
Advisors assist students’ study and research. They listen to students individually to learn students needs and advise them accordingly. Advisors also play the part of career counselor. Please do not hesitate to ask your advisor to introduce other professionals or faculty members in other sections if you need. Finding the appropriate faculty member is also the advisor’s role.
The main feature of this system is that “several” advisors advise one student. Students will have a different advisor in each master’s or doctorate program.
We recommend you contact not only the personal advisor assigned to you for the academic year, but also other faculty members. If, for instance, you wish to further explore subjects that you studied for the 4th year final report, you are welcome to continue to ask your 4th year advisor for help. Likewise if, in the 2nd year of the Master’s Program, you wish to continue to study the subject of the 1st year Small Group Class your 1st year advisor will help.
Advisors serve only as your guides. Your own motivation is the key to your academic success.
B. Office Hours
All faculty members have weekly office hours during academic terms. There is no need for prior appointments and you should feel free to visit instructors’ offices whenever you have questions or concerns.
There are mainly three types of office hours: regular office hours, office hours for specific courses, and joint office hours called Cafe David, which are held by teaching assistants.
C. The Level System
The Level System is our central mechanism for classifying programs of study into educational purposes, organizing both undergraduate and graduate degree curriculums as a coherent whole. Thus, all lectures and small group classes fall into a certain level.
The level concept focuses on students’ individual needs and level, not on students’ actual grade. As a result, students can both challenge to higher-level study and reinforce what they lack of as following 2 examples (both are in their second year):
Most students will take level 2–3 courses during their Master’s Program. But we encourage both those who wish to improve their abilities and those who plan to pursue further research to design an individualized study plan regardless of the academic year.
Further details can be found III-A.
D. Course Design
In order to provide a comprehensive guide of course work, all instructors renew their Course Design each academic term, including the latest and detailed information about their courses. Thus, students are asked to refer to the course design for all information needed for course selection. Students may find such entries as course title, outline, instructor and contact information, course level, purpose and goals, content and teaching style, textbooks and references, prerequisites, grading scales, and study tips, etc.
III. Program Details
Requirements for Master’s Degree:
* 16 credits from B-group, 4 credits from C-group
The Master’s Program is composed of 3 types of courses and other activities below:
* Credits are awarded only to Master students, but doctoral students may also participate in class.
A. Ordinary Course
The ordinary course, which is presented in Group A (see also the Student Handbook for details), includes year-long and intensive courses. These courses are ranked in level 2 or 3. If you want to strengthen basic skills, you can take a level 1 course with your advisor’s approval. In this case, you may earn no more than 4 credits (2 credits per course).
Students will be required to submit summaries of the courses they take at the end of the session. Students who take more than 3 courses may select 3 courses to summarize.
Check carefully when you register because some courses, especially courses in level 3, are not always offered every year.
We recommend you finish taking all courses by the end of the first semester of the second year in order to leave enough time for writing your master’s thesis.
Students are allowed to pursue other department’s courses, and credits can be transferred. We propose you to participate in a variety of classes to expand your interests.
You can also ask more details at Office of Academic Affairs.
B. Small Group Class (Seminar)
Small Group Class is a two-semester seminar intended to develop reading, critical thinking and discussion skills. In the seminar class students expand upon their learning from faculty lectures and identify their specific focus of interest/research from within areas presented in lectures.
Within the chosen subject area, classes offer multifaceted lectures guided by student interest. The pace of the lectures is tailored to participating students’ needs. As seen from the chart above, students can both improve their skills and explore their chosen field in the small group class.
Master students will belong to a credit-earning seminar each/per year. At the same time they are strongly advised to attend another seminar. Students who attend regularly and submit successful assignments will be awarded at most 1 credit over 2 years in addition to the credits from other classes for which they are registered.
All small group classes are open to both 1st and 2nd year students. The content of these classes ranges across level 2 and level 3 areas of inquiry. Read the course design carefully and consult with the lecturers of the classes in order to choose a class appropriate to your interest.
Students are required to submit a report at the end of first semester, a Final report at the end of the 1st year, and a Master’s thesis at the end of the 2nd year.
In addition to these requirements, 2nd year students must either pass or be exempted from the Comprehensive Examination at the end of first semester.
Since the curriculum is organized by level rather than year, students are strongly advised to read the course design carefully and consult teaching staff before choosing a class.
C. Master’s Thesis (Self-study/Research)
Master students must submit a Master’s thesis to earn their degree. (See I-C, I-D.) The goal of the thesis is to demonstrate your learning and your research discoveries. The Master’s thesis is not judged on the level of the focus of inquiry but on depth and breadth of your reflection.
The thesis must include the following:
However if the topic of Self Study report and Small Group Class are similar to one another, or you want to try to find an original result referring to both two reports, you do not need to necessarily get sections separated.
When you begin writing your thesis, we suggest you to check the following three points:
After submitting the Master’s thesis, students have an oral defense in which are required to explain their thesis. The oral defense is open to the faculty and students in the Graduate School of Mathematics. Students are evaluated on both the written thesis and the oral defence. The first year study report may be taken into consideration if needed.
D. Other Activities
The Comprehensive Examination is designed to determine whether students have sufficient mathematical literacy for graduate studies. Students who fail the comprehensive examination must attend the supplementary class. Participation in class, submission of reports, and passing the final examination are required.
Students will be required to answer questions that Department of Mathematics undergraduate 2nd years have mastered. Comprehension of and skills in the following are tested:
Each question is graded on a scale of 3. Students’ answers will be graded on total comprehension in every fundamental point.
The evaluation standard is as follows:
The examination consists of 4 questions. Students are required to earn at least 9 of the 12 total points.*
* 2nd year Small Group Class credits will not be awarded to students who fail the Comprehensive Examination.
Study Report and Presentation
At the end of the session, 1st year Master students submit a Study Report and give a presentation on their study as preparation for 2nd year research. The aim is to review first year studies. We recommend students design a report that reconstructs what they have studied, especially in the Small Group Class.
Students must follow the “Master’s Thesis Guideline” in preparing the Study Report.
The presentation should include a summary of courses taken, the main issues learned, a discussion of the student’s main area of interest, and a plan and goals for the second year. After the presentation, teaching staff will comment.
In the Graduate School of Mathematics, we recruit, mainly from Master students, Teaching Assistants (TAs), who assist in the following activities:
Advantages of TA work:
Graduate students are required to write more and longer reports than are undergraduates. This includes the master’s thesis. When writing a thesis or other formal report, you will need to make a plan at first and elaborate it to the end. Moreover, in mathematics, reports often contain many formulas and/or graphics. LATEX is document preparation software that facilitates professional and effective preparation of formal mathematical documents. Students are strongly encouraged to familiarize themselves with this software though participation in the LATEX seminar early on.