Course title
V09111004
Undergraduate Thesis Research 1

takeuchi shingo
Course description
Based on the knowledge learned during the first three years, the students are expected to talk to the professor to determine a detailed problem as the main theme of the undergraduate project. Then, after vigorous study and discussion, they are expected to present their study three times: mid-term presentation in July or August, poster presentation in November, and final presentation in February. The study is also summarized into abstracts and theses. Undergraduate Thesis Research 1 is the first half of the undergraduate project during the first semester.
Purpose of class
Work on an undergraduate project where various knowledge is necessary, summarize the study and make presentation on it.
Goals and objectives
  1. Find research topic and make problem formulation independently.
  2. Propose method/approach to solving the problem with possible revision
  3. Evaluate the proposed problem and approach, and suggest possible extension.
Language
Japanese(English accepted)
Research Guidance
Functional Equations
Research Content
Undergraduate students of our laboratory first study functional analysis and differential equations, that form the basis of Undergraduate Thesis Research, at Seminars on Mathematical Sciences, then in Undergraduate Thesis Research each student will decide on themes and work on the preparation of graduation theses. Basically the theme has been decided in honor of his / her wishes, and if it is a theme related to analysis I am admitting it extensively. Since the research theme of the past seminar student, the title of the graduation thesis, and the contents of weekly seminar are in the laboratory website http://www.sic.saurus-it.ac.jp/~shingo/index.html, reference Please.

The research themes of the year are roughly divided into (i) the study on properties of the solution of nonlinear differential equations, and (ii) the research on theoretical methods of nonlinear analysis. In the former study, since nonlinear differential equations have strong individuality for each equation, as a theme, you can select a specific differential equation and examines its characteristics. In the latter study, since there are various theories obtained from calculus and functional analysis such as Fourier analysis, elliptic functions, variational method, bifurcation theory, fixed point theory, etc. in the latter study, you can select a specific theory as a theme to study establishment and application.

Calculus and linear algebra are mandatory. The elective subjects of analysis, especially "Fundamentals of Analysis" are deeply related. Also elective courses in applied mathematics will deepen their understanding of the contents.
Relationship between 'Goals and Objectives' and 'Course Outcomes'

Independent study Seminar and Presentation Report and Thesis Total.
1. 10% 15% 10% 35%
2. 10% 15% 10% 35%
3. 10% 10% 10% 30%
Total. 30% 40% 30% -
Evaluation method and criteria
Determined by each professor and lab.
Textbooks and reference materials
Determined by each professor and lab.
Prerequisites
Determined by each professor and lab.
Office hours and How to contact professors for questions
    Relation to the environment
    Non-environment-related course
    Regionally-oriented
    Non-regionally-oriented course
    Development of social and professional independence
    • Course that cultivates an ability for utilizing knowledge
    • Course that cultivates a basic self-management skills
    • Course that cultivates a basic problem-solving skills
    Active-learning course
    Most classes are interactive
    Course by professor with work experience
    Work experience Work experience and relevance to the course content if applicatable
    N/A 該当しない
    Last modified : Thu Mar 21 16:44:13 JST 2019