Updated on 2025/07/31

写真a

 
TAKAGI, Satoru
 
Affiliation
Affiliated organization, Global Education Center
Job title
Professor
Degree
Bachelor of Science ( Waseda University )
Master of Science ( Waseda University )
Doctor of Philosophy ( Waseda University )
Homepage URL
https://satoru.w.waseda.jp/

Research Experience

  • 2020.04
    -
    Now

    Waseda University   Global Education Center   Professor

  • 2018.04
    -
    2020.03

    Waseda University   Global Education Center   Associate Professor

  • 2012.04
    -
    2018.03

    Kogakuin University   Division of Liberal Arts (Center for Promotion of Higher Education, Division of Liberal Arts)   Associate Professor

  • 2008.04
    -
    2012.03

    Waseda University   Media Network Center   Assistant Professor

  • 2006.04
    -
    2008.03

    Kogakuin University   Academic Support Center   Lecturer

  • 2005.04
    -
    2006.03

    Waseda University   Institute for Advanced Studies in Education   Research Fellow

  • 2003.04
    -
    2005.03

    Waseda University   School of Education, Department of Science, Major in Mathematics (Faculty of Education and Integrated Arts and Sciences)   Research Associate

  • 2002.10
    -
    2003.01

    Waseda University   School of Education, Department of Science, Major in Mathematics   Visiting Research Associate

  • 2001.08
    -
    2002.07

    University of California at Berkeley   Department of Mathematics   Visiting Scholar

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Education Background

  • 1999.04
    -
    2003.03

    Waseda University   Graduate School of Science and Engineering, Doctoral Program   Major in Mathematical Sciences  

  • 1997.04
    -
    1999.03

    Waseda University   Graduate School of Science and Engineering, Master's Course   Major in Mathematical Sciences  

  • 1993.04
    -
    1997.03

    Waseda University   School of Education   Department of Science, Major in Mathematics  

  • 1990.04
    -
    1993.03

    Toyotama High School  

Committee Memberships

  • 2025.04
    -
    Now

    Japanese Society for Information and Systems in Education  Member

  • 2025.04
    -
    Now

    Biomedical Fuzzy System Association  Auditor

  • 2025.03
    -
    Now

    Japanese Society for Information and Systems in Education  Vice Chairman, Local Executive Committee, 50th Annual Meeting

  • 2024.06
    -
    Now

    The Mathematical Olympiad Foundation of Japan  Director

  • 2024.04
    -
    Now

    Information Processing Society of Japan  Steering committee member, Steering committee at the Game Informatics Research Group

  • 2024.01
    -
    Now

    Fujimi Junior & Senior High School  Councilor

  • 2022.12
    -
    Now

    Mathematics Education Society of Waseda University  Vice President

  • 2022.09
    -
    Now

    Global Education Center, Waseda University  Associate Director

  • 2022.04
    -
    Now

    Waseda University Game Sciences Laboratory  Director

  • 2019.12
    -
    Now

    Mathematics Education Society of Waseda University  Steering Committee and Treasurer

  • 2024.07
    -
    2025.03

    Mathematics Education Society of Japan  Executive Committee Chairman

  • 2023.04
    -
    2025.03

    Biomedical Fuzzy System Association  Director

  • 2022.12
    -
    2023.12

    Biomedical Fuzzy System Association  Chairperson of the 36th annual meeting (BMFSA2023)

  • 2022.10
    -
    2023.11

    64th International Mathematical Olympiad (IMO2023)  Executive Committee

  • 2015.04
    -
    2023.03

    Biomedical Fuzzy System Association  Councilor

  • 2015.09
    -
    2019.12

    早稲田大学数学教育学会  編集委員

  • 2010.10
    -
    2011.03

    数学教育学会  2011年度春季年会 実行委員

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Research Areas

  • Educational technology / Science education / Basic analysis

Research Interests

  • Optimal path selection

  • Fuzzy theory

  • First year education

  • Evaluation and analysis of educational information

  • Rubric

  • E-learning

  • Higher education

  • Mathematics education in university level

  • Weak solutions

  • Partial differential equations

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Awards

▼display all

 

Papers

  • Teaching materials for differential equations with application to STEM problems

    Satoru Takagi, Kesayoshi Hadano

    Proceedings of the 9th ICMI-East Asia Regional Conference on Mathematics Education (EARCOME9)   3 ( 2 ) 1290 - 1294  2025.07  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

  • Teaching materials on calculus as seen from the application to engineering

    Satoru Takagi, Kesayoshi Hadano, Sei-ichi Yamaguchi

    Hiroshima Journal of Mathematics Education   15 ( 2 ) 155 - 165  2022.11  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

    DOI

  • Introduction to university calculus for “Bunkei’’ students in Waseda

    Takuya Sobukawa, Satoru Takagi, Hiroaki Uesu

    Vysshee Obrazovanie v Rossii   28 ( 2 ) 63 - 68  2019.03  [Refereed]  [International journal]

    　View Summary

    In these days, mathematics is one of the most important tools for any person. However, in Japan, many students hate and avoid mathematics in their high school age. In Waseda University, one of the biggest and oldest private universities in Japan, special curriculum is constructed for such “Bunkei’’ students who major in social or human science.

    DOI

    Scopus

  • A method of evaluation in calculus classes by rubric

    Satoru Takagi, Takeo Nikami

    ICIC Express Letters, Part B: Applications   9 ( 7 ) 715 - 720  2018.07  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

    　View Summary

    Teachers are always studying how to teach subjects with fun for students and know students’ needs to improve lectures. However, it is so hard to prepare interesting lectures and analyze their needs every time. In this paper, we shall show rubrics as one of ways to improve our education to help teachers work.

    DOI

    Scopus

    1
    Citation
    (Scopus)

  • Designing 1st year calculus courses

    Satoru Takagi, Sei-ichi Yamaguchi, Ryuichi Mizumachi

    Proceedings of the International Workshop on Mathematical Education for Non-Mathematics Students Developing Advanced Mathematical Literacy     47 - 52  2018.01  [International journal]

    Authorship：Lead author

  • Educational materials on basic partial derivative which appeal to intuition

    Satoru Takagi, Kesayoshi Hadano

    Proceedings of the International Workshop on Mathematical Education for Non-Mathematics Students Developing Advanced Mathematical Literacy     73 - 76  2018.01  [International journal]

    Authorship：Lead author, Corresponding author

  • Several ways to improve our education

    Satoru Takagi

    Proceedings of the 16th International Symposium on Advanced Technology (ISAT-16)     63 - 63  2017.11  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

  • Probabilistic Reasoning (確率的推論) の正しい認識と活用を

    Haruo Ishigaki, Shigenori Takagi, Satoru Takagi

    数学教育学会学会課題 Study Group 研究報告集「知識社会を自立・協同して支える人材育成に求められる学校数学とは」－21世紀変容期の数学教育が持つべき要件     41 - 44  2017.08  [Refereed]

  • A method of evaluation in calculus classes by rubric

    Satoru Takagi, Takeo Nikami

    Proceedings of the 12th International Conference on Innovative Computing, Information and Control (ICICIC2017)     100 - 100  2017.08  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

  • Student needs analysis applying type-2 fuzzy contingency table and its application

    Hiroaki Uesu, Satoru Takagi

    Proceedings of the 2016 International Symposium on Information Theory and Its Applications (ISITA2016)     567 - 567  2016.11  [Refereed]  [International journal]

  • Needs analysis for lectures applying Kano model

    Hiroaki Uesu, Satoru Takagi

    Japan Journal of Mathematics Education and Related Fields   57 ( 1-2 ) 63 - 74  2016.09  [Refereed]

    DOI CiNii

  • An analysis of students’ needs at mathematics lectures

    Satoru Takagi, Hiroaki Uesu

    Proceedings of the 28th Annual Conference of Biomedical Fuzzy System Association     297 - 300  2015.11

    Authorship：Lead author, Corresponding author

    DOI

  • Napier's binary chessboard and its applications

    Kazuki Maeyama, Satoru Takagi

    Waseda Journal of Mathematics Education   32 ( 1 ) 16 - 31  2014.12  [Refereed]

    Authorship：Last author, Corresponding author

    CiNii

  • Introductory education on information mathematics using Napier's binary chessboard

    Satoru Takagi, Kazuki Maeyama

    Proceedings of the 27th Annual Conference of Biomedical Fuzzy System Association   27   47 - 48  2014.11

    Authorship：Lead author, Corresponding author

    　View Summary

    The "Napier's binary chessboard" is a calculating board introduced by John Napier in his book "Rabdologiae" [1]. This Napier's binary chessboard can easily be basic four arithmetic operations of binary numbers. In this paper, we propose teaching materials as one of the applications to introductory education on information mathematics using the "Napier's binary chessboard board", and also show the result of the real introductory education using the teaching materials proposed above.

    DOI CiNii

  • Pre-admission education and first year education utilizing information and communication technology at universities

    Satoru Takagi

    International Journal of Biomedical Soft Computing and Human Sciences   19 ( 2 ) 1 - 6  2014.10  [Refereed]

    Authorship：Lead author, Corresponding author

    　View Summary

    In this paper, we shall report on the pre-admission education and the first year education at Kogakuin University as the entire liberal arts education, including career education as well as mathematics education utilizing information and communication technology (ICT, for short), and also mention how to make the best use of these experiments in the future.

    DOI CiNii

  • A questionnaire analysis by fuzzy reasoning for undergraduate students in mathematics lectures applying the Kano model

    Satoru Takagi, Hiroaki Uesu

    2014 Joint 7th International Conference on Soft Computing and Intelligent Systems, SCIS 2014 and 15th International Symposium on Advanced Intelligent Systems, ISIS 2014     851 - 854  2014.02  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

    　View Summary

    Mathematics lecturers at universities have to change their teaching materials and methods according to students' mathematical skills, and also have to make them understand mathematics. In this paper, we shall apply the questionnaire analysis in some undergraduate mathematics lectures for the method of students' needs analysis utilizing the Kano model, and report the results.

    DOI

    Scopus

    3
    Citation
    (Scopus)

  • Mathematics of fundamental education utilizing ICT in Waseda University

    Ken-ichi Nagashima, Hiroaki Uesu, Kazuhiro Oeda, Takenobu Takizawa, Satoru Takagi, Reiko Shinjo

    Proceedings of the International Workshop on Mathematical Literacy at the University Level: Connections with the Secondary-Tertiary Transition, 2014     74 - 78  2014.01  [International journal]

  • Mathematics education before and after admission at Kogakuin University

    Satoru Takagi

    Proceedings of the International Workshop on Mathematical Literacy at the University Level: Connections with the Secondary-Tertiary Transition, 2014     108 - 111  2014.01  [International journal]

    Authorship：Lead author, Corresponding author

  • First year education utilizing ICT at universities

    Satoru Takagi

    Proceedings of the 26th Annual Conference of Biomedical Fuzzy System Association     151 - 152  2013.10

    Authorship：Lead author, Corresponding author

  • Education for mathematical literacy in Waseda University

    Hiroaki Uesu, Takenobu Takizawa, Satoru Takagi, Reiko Shinjo, Kazuhiro Oeda, Ken-ichi Nagashima

    Proceedings of the Taiwan-Japan Bilateral Symposium on Mathematics Education 2013 (BSME2013)    2013.06

  • Fundamental mathematics education via e-learning for undergraduate students

    Satoru Takagi

    Proceedings of the Hawaii University International Conference on Education and Technology     10 pages (web)  2013.06  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

  • Utilization of information and communication technologies in higher education

    Satoru Takagi

    Proceedings of the 25th Annual Conference of Biomedical Fuzzy System Association     71 - 74  2012.12

    Authorship：Lead author, Corresponding author

  • Mathematics literacy education for undergraduate students

    Satoru Takagi

    Proceedings of the International Conference on Mathematics Education Between Japan and China 2012     58 - 63  2012.11  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

  • Mathematics education as liberal arts

    Satoru Takagi

    Proceedings of the 11th International Symposium on Advanced Technology (ISAT-Special)     169 - 170  2012.10  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

  • Reports on mathematics literacy education utilizing ICT at Waseda University

    Satoru Takagi

    Dokkyo Studies in Data Processing and Computer Science   ( 28 ) 73 - 79  2011.01  [Refereed]

    Authorship：Lead author, Corresponding author

    CiNii

  • Academic skills curriculum utilizing ICT at Waseda University

    Satoru Takagi

    Proceedings of the 2011 Hawaii International Conference on Arts and Humanities     462 - 467  2011.01  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

  • Some properties of weak solutions for parabolic-hyperbolic equations

    Satoru Takagi

    GAKUTO International Series, Mathematical Sciences and Applications   32   215 - 230  2010.05  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

  • Smoothness of inertial manifolds for semilinear evolution equations in complex Banach spaces

    Satoru Takagi

    Differential and Integral Equations   21 ( 1-2 ) 63 - 80  2008.01  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

    　View Summary

    We study inertial manifolds for a semilinear evolution equation du/dt + Au = F(t,u) in a complex Banach space. It is known that various conditions ensure existence of inertial manifolds for the equation, however, Miklaveie gave a sharp but simple condition so as to show the existence of inertial manifolds. In this paper, we show smoothness of inertial manifolds using the sharp condition with additional assumptions on F, and also apply to a scalar reaction diffusion equation u(t) - u(xx) = f(t, x,u,u(x)) with the Dirichlet boundary conditions.

    DOI

  • Renormalized dissipative solutions and applications

    Satoru Takagi

    RIMS Kokyuroku, Research Institute for Mathematical Sciences, Kyoto University   ( 1478 ) 52 - 65  2006.04

    Authorship：Lead author, Corresponding author

    CiNii

  • On the existence of renormalized dissipative solutions via relaxation for conservation laws

    Kazuo Kobayasi, Satoru Takagi

    Hyperbolic Problems: Theory, Numerics and Applications   2   101 - 108  2006.03  [Refereed]  [International journal]

  • Renormalized dissipative solutions for parabolic-hyperbolic equations

    Satoru Takagi

    GAKUTO International Series, Mathematical Sciences and Applications   23   255 - 266  2005.12  [Refereed]  [International journal]

    Authorship：Corresponding author

  • On renormalized dissipative solutions for conservation laws

    Satoru Takagi

    Nonlinear Analysis, Theory, Methods and Applications   63 ( 5-7 ) e2483 - e2489  2005.11  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

    　View Summary

    We introduce a new notion of renormalized dissipative solutions for a scalar conservation law u(t) + div F(u) = f with locally Lipschitz F and L(1) data, and prove the equivalence of such solutions and renormalized entropy solutions in the sense of Benilan et al. The structure of renormalized dissipative solutions is useful to deal with relaxation systems than the renormalized entropy scheme. As an application of our result, we prove the existence of renormalized dissipative solutions via relaxation. (C) 2005 Elsevier Ltd. All rights reserved.

    DOI

    Scopus

  • Renormalized dissipative solutions for quasilinear anisotropic degenerate parabolic equations

    Satoru Takagi

    Communications in Applied Analysis   9 ( 3-4 ) 481 - 503  2005.07  [Refereed]  [International journal]

    Authorship：Lead author, Corresponding author

    　View Summary

    We introduce a new notion of renormalized dissipative solutions for the Cauchy problem of a quasilinear anisotropic degenerate parabolic equation ut + div F(u) = div (A(u)∇ u) +f with locally Lipschitz-continuous flux F and L1 data, and prove the equivalence of such solutions and renormalized entropy solutions in the sense of Bendahmane and Karlsen. As applications, we apply our result to certain relaxation systems in general L1-setting and construct a renormalized dissipative solution. © Dynamic Publishers, Inc.

  • Renormalized dissipative solutions of second order degenerate parabolic balance law

    Satoru Takagi

    Academic Studies, Series of Mathematics, School of Education, Waseda University   53   51 - 65  2005.02

    Authorship：Lead author, Corresponding author

    　View Summary

    We introduce a new notion of renormalized dissipative solutions for the Cauchy problem of a second order degenerate parabolic balance law u_t + div F(u) =Δb(u) with locally Lipschitz-continuous flux F and L^1 data, and prove the equivalence of such solutions and renormalized entropy solutions in the sense of Bendahmane and Karlsen. The structure of renormalized dissipative solutions is flexible and suitable to deal with relaxation systems than the renormalized entropy scheme. The proof of our main theorem is based on the method of doubling variables established by Kruzkov.

    CiNii

  • An equivalent definition of renormalized entropy solutions for scalar conservation laws

    Kazuo Kobayasi, Satoru Takagi

    Differential and Integral Equations   18 ( 1 ) 19 - 33  2005.01  [Refereed]  [International journal]

    　View Summary

    We introduce a new notion of renormalized dissipative solutions for a scalar conservation law u(t) div F(u) = f with locally Lipschitz F and L-1 data, and prove the equivalence of such solutions and renormalized entropy solutions in the sense of Benilan et al. The structure of renormalized dissipative solutions is more useful in dealing with relaxation systems than the renormalized entropy scheme. As an example, we apply our result to contractive relaxation systems in merely an L-1 setting and construct a renormalized dissipative solution via relaxation.

    DOI

  • On Local Center Unstable Manifolds

    Kazuo Kobayasi, Satoru Takagi

    Nonlinear Analysis and Applications: To V. Lakshmikantham on his 80th Birthday   2   661 - 670  2003.11  [Refereed]  [International journal]

    DOI

  • On an equivalent definition of renormalized entropy solutions for divergence form equations

    Satoru Takagi

    Proceedings of the Real Analysis Symposium 2003     151 - 157  2003.11

    Authorship：Lead author, Corresponding author

  • Uniqueness of renormalized solutions for nonlinear degenerate problems

    Satoru Takagi

    RIMS Kokyuroku, Research Institute for Mathematical Sciences, Kyoto University   ( 1323 ) 59 - 75  2003.05  [International journal]

    Authorship：Lead author, Corresponding author

  • Uniqueness of renormalized solutions of degenerate quasilinear elliptic equations

    Kazuo Kobayasi, Satoru Takagi, Takeshi Uehara

    Academic Studies, Series of Mathematics, School of Education, Waseda University   ( 49 ) 5 - 15  2001.02

    CiNii

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Books and Other Publications

  • Calculus for Science and Engineering (revised edition)

    Kenji Hasegawa, Naoto Kumano-go, Satoru Takagi( Part： Joint author)

    Baifukan  2023.09 ISBN: 9784563012533

  • Exercise Book for Introduction to University Mathematics: Linear Programming

    Satoru Takagi, Takuya Sobukawa( Part： Joint author)

    KYORITSU SHUPPAN CO., LTD.  2023.03 ISBN: 9784320952058

  • Introduction to University Mathematics: Linear Programming

    Satoru Takagi, Takuya Sobukawa( Part： Joint author)

    KYORITSU SHUPPAN CO., LTD.  2023.03 ISBN: 9784320115170

  • Mathematical Sciences

    Satoru Takagi( Part： Contributor, How to understand (ε, δ)-definition of limit)

    Saiensusha  2022.04

  • Introduction to University Mathematics: Calculating Interest

    Satoru Takagi, Hiroaki Uesu( Part： Joint author)

    KYORITSU SHUPPAN CO., LTD.  2022.03 ISBN: 9784320115163

  • Mathematics Seminar

    Satoru Takagi( Part： Contributor, What is calculus of functions of complex variables?)

    Nippon Hyoron sha  2021.03

  • Ordinary Differential Equations for Science and Engineering

    Isao Makino, Kenji Hasegawa, Satoru Takagi( Part： Joint author)

    Baifukan  2020.09 ISBN: 9784563011659

  • Basic Mathematics for Science and Engineering (revised and enlarged edition)

    Satoru Takagi, Kenji Hasegawa, Naoto Kumano-go( Part： Joint author)

    Baifukan  2020.01 ISBN: 9784563012335

  • Linear Algebra for Science and Engineering (revised edition)

    Satoru Takagi, Kenji Hasegawa, Naoto Kumano-go, Shin Kikuta, Takayuki Morisawa( Part： Joint author)

    Baifukan  2018.11 ISBN: 9784563012304

  • Mathematical Literacy at University Education

    Ryuichi Mizumacchi, Michele Artigue, Bernar, R. Hodgson, Satoru Takagi, al( Part： Contributor, Chapter 5, Section 5.4)

    Toshindo  2017.03 ISBN: 9784798914053

  • Linear Algebra for Science and Engineering

    Satoru Takagi, Kenji Hasegawa, Naoto Kumano-go( Part： Joint author)

    Baifukan  2016.09 ISBN: 9784563004996

  • Calculus for Science and Engineering

    Kenji Hasegawa, Naoto Kumano-go, Satoru Takagi( Part： Joint author)

    Baifukan  2016.04 ISBN: 9784563004989

  • Introduction to University Mathematics (Calculating Interest) alpha 2016 (in Japanese)

    Hiroaki Uesu, Satoru Takagi( Part： Joint author)

    Waseda University Press  2016.04 ISBN: 9784657160041

  • Introduction to University Mathematics (Linear Programming) alpha 2016 (in Japanese)

    Seiken Saito, Satoru Takagi( Part： Joint author)

    Waseda University Press  2016.04 ISBN: 9784657160058

  • Introduction to University Mathematics (Calculating Interest) beta 2016 (in Japanese)

    Hiroaki Uesu, Satoru Takagi( Part： Joint author)

    Waseda University Press  2016.04 ISBN: 9784657160065

  • Introduction to University Mathematics (Linear Programming) beta 2016 (in Japanese)

    Seiken Saito, Satoru Takagi( Part： Joint author)

    Waseda University Press  2016.04 ISBN: 9784657160072

  • Basic Mathematics for Science and Engineering

    Satoru Takagi, Kenji Hasegawa, Naoto Kumano-go( Part： Joint author)

    Baifukan  2015.12 ISBN: 9784563004972

  • Introduction to University Mathematics (Calculating Interest) alpha (in Japanese)

    Satoru Takagi( Part： Sole author)

    Waseda University Press  2013.04 ISBN: 9784657130082

  • Introduction to University Mathematics (Linear Programming) alpha (in Japanese)

    Satoru Takagi( Part： Sole author)

    Waseda University Press  2013.04 ISBN: 9784657130099

  • Introduction to University Mathematics (Calculating Interest) beta (in Japanese)

    Satoru Takagi( Part： Sole author)

    Waseda University Press  2013.04 ISBN: 9784657130105

  • Introduction to University Mathematics (Linear Programming) beta (in Japanese)

    Satoru Takagi( Part： Sole author)

    Waseda University Press  2013.04 ISBN: 9784657130112

  • Introduction to University Mathematics (Linear Programming) beta 2010 (in Japanese)

    Satoru Takagi( Part： Sole author)

    Waseda University Press  2010.04 ISBN: 9784657102065

  • Introduction to University Mathematics (Calculating Interest) beta 2009 (in Japanese)

    Satoru Takagi( Part： Sole author)

    Waseda University Press  2009.10 ISBN: 9784657099099

  • Introduction to University Mathematics (Linear Programming) alpha 2009 (in Japanese)

    Satoru Takagi( Part： Sole author)

    Waseda University Press  2009.04 ISBN: 9784657093103

  • Introduction to University Mathematics (Calculating Interest) alpha (in Japanese)

    Satoru Takagi( Part： Sole author)

    Waseda University Press  2008.09 ISBN: 9784657089021

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Presentations

  • Teaching materials for differential equations with application to STEM problems

    Satoru Takagi, Kesayoshi Hadano

    The 9th ICMI-East Asia Regional Conference on Mathematics Education (EARCOME9), Seoul National University at Siheung Campus, Siheung, South Korea 

    Presentation date： 2025.07

    Event date：
    2025.07
    　
    　

  • Mathematical Modeling Education in Tertiary Transition

    Satoru Takagi  [Invited]

    Mathematics Education Society of Japan, 2025 Spring Meeting Symposium, Waseda University 

    Presentation date： 2025.03

    Event date：
    2025.03
    　
    　

  • A Consideration about Practical Teaching Method of Contract Bridge (17)

    Ryo Namiki, Eiki Shimizu, Takenobu Takizawa, Satoru Takagi

    The 54th meeting of the Game Informatics Research Group, Information Processing Society of Japan, University of Tokyo, Tokyo 

    Presentation date： 2025.03

    Event date：
    2025.03
    　
    　

  • Reasoning the direction of water surface profile calculation of steady flows in an open-channel (Part 2)

    Kesayoshi Hadano, Shinji Arao, Satoru Takagi

    Annual meeting of the Japanese Society of Irrigation, Drainage and Rural Enginerring, Tsukuba International Congress Center, Ibaraki 

    Presentation date： 2024.11

    Event date：
    2024.11
    　
    　

  • Study on the reason for the calculation direction of nonuniform flow in open-channel

    Kesayoshi Hadano, Shinji Arao, Satoru Takagi

    Annual Meeting 2024, The Japan Society of Fluid Mechanics 

    Presentation date： 2024.09

  • Renormalization theory of partial differential equations

    Satoru Takagi  [Invited]

    220th Fuzzy Scientific Symposium, Waseda Universiy, Waseda, Tokyo 

    Presentation date： 2024.05

    Event date：
    2024.05
    　
    　

  • A study on the direction of surface profile calculations and the assignment of boundary conditions of open-channel steady flows

    Kesayoshi Hadano, Shinji Arao, Satoru Takagi

    Annual Meeting of the Japan Society of Civil Engineers Western Branch 2023, Fukuoka University, Fukuoka 

    Presentation date： 2024.03

  • A Consideration about Practical Teaching Method of Contract Bridge (16)

    Ryo Namiki, Eiki Shimizu, Takenobu Takizawa, Satoru Takagi

    The 51st meeting of the Game Informatics Research Group, Information Processing Society of Japan, National Institute of Informatics, Tokyo 

    Presentation date： 2024.03

  • Reasoning the direction of surface profile calculation of open-channel steady flows

    Kesayoshi Hadano, Satoru Takagi, Shinji Arao

    Annual meeting of the Japanese Society of Irrigation, Drainage and Rural Enginerring, University of Tokyo, Tokyo 

    Presentation date： 2023.12

    Event date：
    2023.12
    　
    　

  • Educational materials in group theory using puzzles for non-mathematics students

    Satoru Takagi

    2023 Fall Global Conference on Education, University of Riverside, Riverside, California, USA 

    Presentation date： 2023.11

    Event date：
    2023.11
    　
    　

  • Rubrics for university calculus courses

    Satoru Takagi

    The 21st International Symposium on Advanced Technology (ISAT-21), The University of Danang - University of Science and Technology, Vietnam / Zoom 

    Presentation date： 2022.11

    Event date：
    2022.11
    　
    　

  • Teaching materials on calculus as seen from the application to engineering

    Satoru Takagi, Kesayoshi Hadano, Sei-ichi Yamaguchi

    Mathematics Education Society of Japan, 2021 Fall Meeting, ICME14 Special Session, Chiba University / Zoom 

    Presentation date： 2021.09

    Event date：
    2021.09
    　
    　

  • Teaching materials on calculus as seen from the application to engineering

    Satoru Takagi, Kesayoshi Hadano, Sei-ichi Yamaguchi

    14th International Congress on Mathematical Education (ICME-14), East China Normal University, Shanghai, China / Zoom 

    Presentation date： 2021.07

    Event date：
    2021.07
    　
    　

  • TA/LAs of "Introduction to University Mathematics" Series

    Satoru Takagi, Kazunori Noguchi  [Invited]

    8th Waseda University Writing Forum, Waseda University / Zoom 

    Presentation date： 2021.03

  • Educational materials on calculus which bridge mathematics and engineering

    Satoru Takagi, Kesayoshi Hadano, Sei-ichi Yamaguchi

    32nd International Conference on Technology in Collegiate Mathematics (ICTCM2020), Virtual Conference instead of in person conference at Renaissance Orlando at SeaWorld, Orlando, Florida, USA (video presentation due to COVID-19) 

    Presentation date： 2020.07

  • Mathematics Literacy Education at Waseda University "Introduction to University Mathematics" Series

    Satoru Takagi, Naoki Endo

    9th TECUM Seminar on Mathematical Sciences Education, Waseda University, Waseda, Tokyo 

    Presentation date： 2020.02

  • Differences in rubric results between face-to-face and full-on-demand lectures

    Satoru Takagi

    32nd Annual Meeting of Biomedical Fuzzy System Association (BMFSA2019), Yamanashi University, Kofu, Yamanashi 

    Presentation date： 2019.11

  • Rubrics for university mathematics lectures

    Satoru Takagi

    2019 Fall Global Conference on Education, University of Riverside, Riverside, California, USA 

    Presentation date： 2019.11

  • A report on making teaching materials on calculus for science and engineering

    Satoru Takagi

    Whole Meeting in September, 2019, Study Group on Mathematical Literacy Education at Higher Level, Waseda University, Waseda, Tokyo 

    Presentation date： 2019.09

  • Effects of rubric

    Satoru Takagi

    Whole Meeting in September, 2019, Study Group on Mathematical Literacy Education at Higher Level, Waseda University, Waseda, Tokyo 

    Presentation date： 2019.09

  • Utilization of rubrics in full on-demand style university-wide mathematics literacy education

    Satoru Takagi, Yasuhiro Hayashi, Takeo Nikami

    2nd Research Meeting 2019 of the Japanese Society for Information and Systems in Education, Chitose City Hall, Chitose, Hokkaido 

    Presentation date： 2019.07

  • Creation and application of the improved rubric

    Satoru Takagi

    Final Whole Meeting in March, 2019, Study Group on Mathematical Literacy Education at Higher Level, Waseda University, Waseda, Tokyo 

    Presentation date： 2019.03

  • Looking back on the activities of the science working group

    Satoru Takagi

    Final Whole Meeting in March, 2019, Study Group on Mathematical Literacy Education at Higher Level, Waseda University, Waseda, Tokyo 

    Presentation date： 2019.03

  • My long self-introduction (part 2) -- a study on mathematics education

    Satoru Takagi

    Research Meeting of the Global Education Center at Waseda University, Waseda University, Waseda, Tokyo 

    Presentation date： 2019.03

  • Educational materials on multivariable calculus assuming the science and engineering students

    Satoru Takagi, Kesayoshi Hadano

    2019 Transforming Undergraduate STEM Education in Japan, Hokkaido University, Sapporo, Hokkaido 

    Presentation date： 2019.02

  • Utilization of rubrics in university mathematics lectures

    Satoru Takagi

    Research Meeting of the 37th Annual Meeting of the Mathematics Education Society of Waseda University, Waseda University, Waseda, Tokyo 

    Presentation date： 2018.12

  • Educational materials on multivariable calculus as seen from the application to engineering

    Satoru Takagi, Kesayoshi Hadano

    Annual Meetiing of Academic eXchange for Information Environment and Strategy (AXIES) 2018, Sapporo Convention Center, Sapporo, Hokkaido 

    Presentation date： 2018.11

  • A case study on the utilization of rubrics in mathematics lectures

    Satoru Takagi, Yasuhiro Hayashi, Takeo Nikami

    31st Annual Meeting of Biomedical Fuzzy System Association (BMFSA2018), Kanazawa Institute of Technology, Kanazawa, Ishikawa 

    Presentation date： 2018.11

  • My long self-introduction (part 1) -- a study on weak solutions of partial differential equations

    Satoru Takagi

    Research Meeting of the Global Education Center at Waseda University, Waseda University, Waseda, Tokyo 

    Presentation date： 2018.05

  • Educational materials on basic partial derivative which appeal to intuition

    Satoru Takagi, Kesayoshi Hadano

    International Workshop on Mathematical Education for Non-Mathematics Students Developing Advanced Mathematical Literacy, Kogakuin University, Shinjuku, Tokyo 

    Presentation date： 2018.01

  • Designing 1st year calculus course

    Satoru Takagi, Sei-ichi Yamaguchi, Ryuichi Mizumachi

    International Workshop on Mathematical Education for Non-Mathematics Students Developing Advanced Mathematical Literacy, Kogakuin University, Shinjuku, Tokyo 

    Presentation date： 2018.01

  • Practical use of rubrics at mathematics classes

    Satoru Takagi

    2017 Fall Global Conference on Education, University of Riverside, Riverside, California, USA 

    Presentation date： 2017.11

  • Several ways to improve our education

    Satoru Takagi

    The 16th International Symposium on Advanced Technology (ISAT-16), Kogakuin University, Hachioji, Tokyo 

    Presentation date： 2017.11

  • On the making of teaching materials on "Multivariable Calculus" VIII

    Satoru Takagi, Kesayoshi Hadano

    Whole Meeting in September, 2017, Study Group on Mathematical Literacy Education at Higher Level, Kogakuin University, Shinjuku, Tokyo 

    Presentation date： 2017.09

  • A method of evaluation in calculus classes by rubric

    Satoru Takagi, Takeo Nikami

    12th International Conference on Innovative Computing, Information and Control (ICICIC2017), Kurume City Plaza, Kurume, Fukuoka 

    Presentation date： 2017.08

  • Relationship between units in calculus by rubric

    Satoru Takagi, Takeo Nikami

    42nd Annual Meeting of the Japanese Society for Information and Systems in Education, Kitakyushu International Conference Center, Kokura, Fukuoka 

    Presentation date： 2017.08

  • On the making of teaching materials on "Multivariable Calculus" VII

    Satoru Takagi, Kesayoshi Hadano

    Science and Engineering Section Meeting in May, 2017, Study Group on Mathematical Literacy Education at Higher Level, Kogakuin University, Shinjuku, Tokyo 

    Presentation date： 2017.05

  • On the making of teaching materials on "Multivariable Calculus" VI

    Satoru Takagi, Kesayoshi Hadano

    Whole Meeting in March, 2017, Study Group on Mathematical Literacy Education at Higher Level, Kogakuin University, Shinjuku, Tokyo 

    Presentation date： 2017.03

  • On the making of teaching materials on "Multivariable Calculus" V

    Satoru Takagi, Kesayoshi Hadano

    Science and Engineering Section Meeting in January, 2017, Study Group on Mathematical Literacy Education at Higher Level, Kogakuin University, Hachioji, Tokyo 

    Presentation date： 2017.01

  • A method of needs analysis of undergraduate students at mathematics lectures

    Satoru Takagi, Hiroaki Uesu

    29th Annual Conference of the Biomedical Fuzzy System Association, Kochi University of Technology, Eikokuji, Kochi 

    Presentation date： 2016.11

  • An analytical method of students' needs of mathematics lectures at universities

    Satoru Takagi

    2016 Fall Global Conference on Education, Hampton Inn and Suites Riverside/Corona East, Riverside, California, USA 

    Presentation date： 2016.11

  • Student needs analysis applying type-2 fuzzy contingency table and its application

    Hiroaki Uesu, Satoru Takagi

    2016 International Symposium on Information Theory and Its Applications (ISITA2016), Hyatt Regency Monterey Hotel, Monterey, California, USA 

    Presentation date： 2016.11

  • Academic skills curriculum in mathematics using ICT at Waseda University VI

    Takiko Sasaki, Hiroaki Uesu, Kazuhiro Oeda, Seiken Saito, Takuya Sobukawa, Satoru Takagi

    2016 Autumn Meeting of the Mathematics Education Society in Japan, Kansai University, Osaka 

    Presentation date： 2016.09

  • On the making of teaching materials on "Multivariable Calculus" IV

    Kesayoshi Hadano, Satoru Takagi

    Whole Meeting in September, 2016, Study Group on Mathematical Literacy Education at Higher Level, Kogakuin University, Shinjuku, Tokyo 

    Presentation date： 2016.09

  • A needs analysis at on-demand lectures applying type-2 fuzzy contingency table

    Hiroaki Uesu, Satoru Takagi

    175th Fuzzy Scientific Symposium and 3rd Kogakuin University Mathematical Science Seminar, Kogakuin Universiy, Shinjuku, Tokyo 

    Presentation date： 2016.07

  • A method of needs analysis of students

    Satoru Takagi, Hiroaki Uesu

    2nd Research Meeting 2016 of the Japanese Society for Information and Systems in Education, Chitose Institute of Science and Technology, Hokkaido 

    Presentation date： 2016.07

  • Recent and future works on the research in science and engineering

    Satoru Takagi

    Kick-off Meeting in May, 2016, Study Group on Mathematical Literacy Education at Higher Level, Chitose Institute of Science and Technology, Hokkaido 

    Presentation date： 2016.05

  • On the making of teaching materials on "Multivariable Calculus" III

    Satoru Takagi, Kesayoshi Hadano

    Final Meeting in March, 2016, Study Group on Mathematics Education to Developed Bachelor Ability, Shonan Institute of Technology, Kanagawa 

    Presentation date： 2016.03

  • On the making of teaching materials on "Multivariable Calculus" II

    Satoru Takagi, Kesayoshi Hadano

    Meeting in February, 2016, Study Group on Mathematics Education to Developed Bachelor Ability, Kanazawa Institute of Technology, Ishikawa 

    Presentation date： 2016.02

  • An analysis of students’ needs at mathematics lectures

    Satoru Takagi, Hiroaki Uesu

    28th Annual Conference of the Biomedical Fuzzy System Association, Tokai University, Kumamoto, Kumamoto 

    Presentation date： 2015.11

  • An Analytical Method of Students’ Needs in Undergraduate Mathematics Lectures

    Satoru Takagi, Hiroaki Uesu

    Study Meeting of the Japan Society for Science Education, Saga University, Saga 

    Presentation date： 2015.11

  • A needs analysis of undergraduate students at mathematics lectures II

    Satoru Takagi, Hiroaki Uesu

    2015 Autumn Meeting of the Mathematics Education Society in Japan, Kyoto Sangyo University, Kyoto 

    Presentation date： 2015.09

  • A needs analysis by fuzzy reasoning at undergraduate mathematics lectures

    Satoru Takagi, Hiroaki Uesu

    The Seventh International Conference on Dynamic Systems and Applications and the Fifth International Conference on Neural, Parallel, and Scientific Computations (ICDSA7-ICNPSC5), Morehouse College, Atlanta, Georgia, USA 

    Presentation date： 2015.05

  • Type-2 fuzzy contingency table analysis and its application

    Hiroaki Uesu, Satoru Takagi

    The Seventh International Conference on Dynamic Systems and Applications and the Fifth International Conference on Neural, Parallel, and Scientific Computations (ICDSA7-ICNPSC5), Morehouse College, Atlanta, Georgia, USA 

    Presentation date： 2015.05

  • On the making of teaching materials on "Multivariable Calculus"

    Satoru Takagi, Kesayoshi Hadano

    Meeting in May, 2015, Study Group on Mathematics Education to Developed Bachelor Ability, Shonan Institute of Technology, Kanagawa 

    Presentation date： 2015.05

  • A needs analysis of students by fuzzy reasoning

    Satoru Takagi, Hiroaki Uesu

    168th Fuzzy Scientific Symposium, Waseda Universiy, Waseda, Tokyo 

    Presentation date： 2015.05

  • Examples of educational materials in calculus and linear algebra based on the previous meeting

    Satoru Takagi

    Overall Meeting in the AY 2014, Study Group on Mathematic Education to Developed Bachelor Ability, Shonan Institute of Technology, Kanagawa 

    Presentation date： 2015.03

  • A needs analysis of undergraduate students at mathematics lectures

    Satoru Takagi, Hiroaki Uesu

    2015 Spring Meeting of the Mathematics Education Society in Japan, Meiji University, Surugadai, Tokyo 

    Presentation date： 2015.03

  • An analysis of students' needs for undergraduate mathematics lectures through the Kano model II

    Satoru Takagi, Hiroaki Uesu

    25th Soft Science Workshop, Shimonoseki City University, Yamaguchi 

    Presentation date： 2015.03

  • An investigate of the epistemology on linear algebra (takagi version 1)

    Satoru Takagi

    Working Group of Making Teaching Material for Students Major in Science and Engineering, Study Group on Mathematic Education to Developed Bachelor Ability, Shonan Institute of Technology, Kanagawa 

    Presentation date： 2015.02

  • An investigate of the epistemology on calculus (takagi version 1)

    Satoru Takagi

    Working Group of Making Teaching Material for Students Major in Science and Engineering, Study Group on Mathematic Education to Developed Bachelor Ability, Shonan Institute of Technology, Kanagawa 

    Presentation date： 2015.02

  • Mathematical literacy education for students major in science and engineering and application of ICT -- the case of Kogakuin University

    Satoru Takagi

    Study Group Meeting on Mathematic Education to Developed Bachelor Ability, Shonan Institute of Technology, Kanagawa 

    Presentation date： 2015.01

  • A questionnaire analysis by fuzzy reasoning for undergraduate students in mathematics lectures applying the Kano model

    Satoru Takagi, Hiroaki Uesu

    Joint 7th International Conference on Soft Computing and Intelligent Systems and 15th International Symposium on Advanced Intelligent Systems (SCIS-ISIS 2014), Kitakyushu International Conference Center, Kokura, Fukuoka 

    Presentation date： 2014.12

  • Basic education on mathematics using ICT

    Hiroaki Uesu, speaker, Kazuhiro Oeda, Seiken Saito, Satoru Takagi, Takuya Sobukawa, Takenobu Takizawa

    165th Symposium on Fuzzy Sciences, Chiba Institute of Science, Chiba 

    Presentation date： 2014.11

  • Introductory education on information mathematics using Napier's binary chessboard

    Satoru Takagi, Kazuki Maeyama

    27th Annual Conference of the Biomedical Fuzzy System Association, Showa University, Tokyo 

    Presentation date： 2014.11

  • Introductory Education on Binary Numbers using Napier’s Binary Chessboard

    Satoru Takagi, Kazuki Maeyama

    Study Meeting of the Japan Society for Science Education, Fukuoka University of Education, Fukuoka 

    Presentation date： 2014.11

  • Pre-admission education using Napier's binary chessboard for the school of informatics II

    Satoru Takagi, Kazuki Maeyama

    2014 Autumn Meeting of the Mathematics Education Society in Japan, Hiroshima University, Higashi-hiroshima, Hiroshima 

    Presentation date： 2014.09

  • An analysis of students' needs for undergraduate mathematics lectures applying the Kano model

    Satoru Takagi, Hiroaki Uesu

    2014 Autumn Meeting of the Mathematics Society in Japan, Hiroshima University, Higashi-hiroshima, Hiroshima 

    Presentation date： 2014.09

  • Introductory education on information mathematics before entering universities

    Satoru Takagi, Kazuki Maeyama

    2nd Research Meeting 2014 of the Japanese Society for Information and Systems in Education, Chitose Institute of Science and Technology, Hokkaido 

    Presentation date： 2014.07

  • Information mathematics education using Napier's binary chessboard before entering university

    Satoru Takagi, Kazuki Maeyama

    162nd Fuzzy Scientific Symposium, Waseda Universiy, Waseda, Tokyo 

    Presentation date： 2014.05

  • Pre-admission education using Napier's binary chessboard for the school of informatics

    Satoru Takagi, Kazuki Maeyama

    2014 Spring Meeting of the Mathematics Education Society in Japan, Gakushuin University, Mejiro, Tokyo 

    Presentation date： 2014.03

  • Activity report on on-demand lectures at Waseda University

    Ken-ichi Nagashima (speaker, Hiroaki Uesu, Kazuhiro Oeda, Satoru Takagi, Reiko Shinjo, Takenobu Takizawa

    161st Fuzzy Scientific Symposium, Wakayama University, Wakayama 

    Presentation date： 2014.03

  • An analysis of students' needs for undergraduate mathematics lectures through the Kano model

    Hiroaki Uesu, Satoru Takagi

    24th Soft Science Workshop, Kurume Hotel Esprit, Kurume, Fukuoka 

    Presentation date： 2014.03

  • Mathematics of fundamental education utilizing ICT in Waseda University

    Ken-ichi Nagashima (speaker, Hiroaki Uesu, Kazuhiro Oeda, Takenobu Takizawa, Satoru Takagi, Reiko Shinjo

    International Workshop on Mathematical Literacy at the University Level: Connections with the Secondary-Tertiary Transition, 2014, Shonan Institute of Technology, Kanagawa 

    Presentation date： 2014.01

  • Mathematics education before and after admission at Kogakuin University

    Satoru Takagi

    International Workshop on Mathematical Literacy at the University Level: Connections with the Secondary-Tertiary Transition, 2014, Shonan Institute of Technology, Kanagawa 

    Presentation date： 2014.01

  • Utilization of electronic textbooks in mathematics lectures at universities

    Satoru Takagi

    5th Research Meeting 2013 of the Japanese Society for Information and Systems in Education, Kochi University of Technology, Kami, Kochi 

    Presentation date： 2014.01

  • Mathematics literacy education before entering universities

    Satoru Takagi

    Study Meeting of the Japan Society for Science Education, Horuto Hall Oita, Oita 

    Presentation date： 2013.11

  • First year education utilizing ICT at universities

    Satoru Takagi

    26th Annual Conference of the Biomedical Fuzzy System Association, Hokkai Gakuen University, Hokkaido 

    Presentation date： 2013.10

  • Literacy education after entering universities

    Satoru Takagi

    2013 Autumn Meeting of the Mathematics Education Society in Japan, Ehime University, Ehime 

    Presentation date： 2013.09

  • Literacy education before entering universities

    Satoru Takagi

    29th Annual Meeting of the Japanese Society for Educational Technology, Akita University, Tegata, Akita 

    Presentation date： 2013.09

  • Mathematics literacy education and learning support utilizing ICT at universities

    Satoru Takagi

    38th Annual Meeting of the Japanese Society for Information and Systems in Education, Kanazawa University, Kakuma, Kanazawa, Ishikawa 

    Presentation date： 2013.09

  • Mathematics education before and after entering universities

    Satoru Takagi

    2013 Summer Research Meeting of the Mathematics Education Society in Japan, Japan Women's University, Mejiro, Tokyo 

    Presentation date： 2013.07

  • Mathematics education before and after entering universities

    Satoru Takagi

    2nd Research Meeting 2013 of the Japanese Society for Information and Systems in Education, Chitose Institute of Science and Technology, Hokkaido 

    Presentation date： 2013.07

  • Fundamental mathematics education via e-learning for undergraduate students

    Satoru Takagi

    Hawaii University International Conference on Education and Technology, Ala Moana Hotel, Honolulu, Hawaii, USA 

    Presentation date： 2013.06

  • Education for mathematical literacy in Waseda University

    Hiroaki Uesu, speaker, Takenobu Takizawa, Satoru Takagi, Reiko Shinjo, Kazuhiro Oeda, Ken-ichi Nagashima (co-speaker

    Taiwan-Japan Bilateral Symposium on Mathematics Education 2013 (BSME2013), National Taiwan University, Taipei, Taiwan 

    Presentation date： 2013.06

  • Introductory education before entering universities

    Satoru Takagi

    2013 Spring Meeting of the Mathematics Education Society in Japan, Kyoto University, Yoshida, Kyoto 

    Presentation date： 2013.03

  • Utilization of information and communication technologies in higher education

    Satoru Takagi

    25th Annual Conference of the Biomedical Fuzzy System Association, Tokyo City University, Setagaya, Tokyo 

    Presentation date： 2012.12

  • Mathematics literacy education using ICT at universities

    Satoru Takagi

    Study Meeting of the Japan Society for Science Education, Miyazaki University, Kibana, Miyazaki 

    Presentation date： 2012.12

  • Mathematics literacy education for undergraduate students

    Satoru Takagi

    International Conference on Mathematics Education Between Japan and China 2012, Bukkyo University, Murasakino, Kyoto 

    Presentation date： 2012.11

  • Mathematics education as liberal arts

    Satoru Takagi

    The 11th International Symposium on Advanced Technology (ISAT-Special), Kogakuin University, Hachioji, Tokyo 

    Presentation date： 2012.10

  • Activity reports on the learning management systems at each two universities

    Satoru Takagi

    Study Meeting of the Japan Society for Educational Technology, Okayama University, Tsushima, Okayama 

    Presentation date： 2012.10

  • Mathematics literacy education for non specialists on mathematics at universities

    Satoru Takagi

    2012 Autumn Meeting of the Mathematics Education Society in Japan, Kyushu University, Ito, Fukuoka 

    Presentation date： 2012.09

  • On mathematics literacy education at universities

    Satoru Takagi

    Research Meeting of Division of Liberal Arts, Kogakuin University, Shinjuku, Tokyo 

    Presentation date： 2012.06

  • Mathematics literacy education at Waseda University VI

    Satoru Takagi

    2012 Spring Meeting of the Mathematics Education Society in Japan, Tokyo University of Science, Kagurazaka, Tokyo 

    Presentation date： 2012.03

  • Mathematics literacy education utilizing ICT at Waseda University

    Satoru Takagi

    2011 Annual Meeting of the Academic Exchange for Information Environment and Strategy, Fukuoka Convention Center 

    Presentation date： 2011.12

  • Activity reports on the mathematics literacy education at Waseda University

    Satoru Takagi

    27th Annual Meeting of the Japan Society for Educational Technology, Tokyo Metropolitan University, Tokyo 

    Presentation date： 2011.09

  • On the pre-admission education in AY2011 at Waseda University

    Kentaro Hoshi, Satoru Takagi, Joji Maeno, Takenobu Takizawa, Noriaki Kusumoto

    PC Conference 2011, Kumamoto University, Kurokami-minami, Kumamoto 

    Presentation date： 2011.08

  • Mathematics literacy education at Waseda University V

    Satoru Takagi

    2011 Spring Meeting of the Mathematics Education Society in Japan, Waseda University, Nishi-waseda, Tokyo 

    Presentation date： 2011.03

  • Academic skills curriculum utilizing ICT at Waseda University

    Satoru Takagi

    2011 Hawaii International Conference on Arts and Humanities, Hilton Hawaiian Village, Honolulu, Hawaii, USA 

    Presentation date： 2011.01

  • Academic skills curriculum systems in mathematics at Waseda University

    Satoru Takagi

    141st Fuzzy Scientific Symposium, Kaetsu School, Tokyo 

    Presentation date： 2010.11

  • Mathematics literacy education at Waseda University IV

    Satoru Takagi

    2010 Autumn Meeting of the Mathematics Education Society in Japan, Nagoya University, Aichi 

    Presentation date： 2010.09

  • Mathematics literacy education at Waseda University III

    Satoru Takagi

    2010 Spring Meeting of the Mathematics Education Society in Japan, Keio University, Hiyoshi, Yokohama, Kanagawa 

    Presentation date： 2010.03

  • Mathematics literacy education at Waseda University II

    Satoru Takagi

    2009 Autumn Meeting of the Mathematics Education Society in Japan, Osaka University, Toyonaka, Osaka 

    Presentation date： 2009.09

  • Activity reports on Waseda University academic skills curriculum

    Satoru Takagi

    25th Annual Meeting of the Japan Society for Educational Technology, University of Tokyo, Hongo, Tokyo 

    Presentation date： 2009.09

  • Activity reports on the academic skills curriculum in mathematics at Waseda University

    Satoru Takagi

    PC Conference 2009, Ehime University, Ehime 

    Presentation date： 2009.08

  • Mathematics literacy education at Waseda University

    Satoru Takagi

    2009 Spring Meeting of the Mathematics Education Society in Japan, University of Tokyo, Komaba, Tokyo 

    Presentation date： 2009.03

  • Full-ondemand mathematics lectures

    Satoru Takagi

    Research Meeting on Course N@vi at Waseda University, Waseda University, Waseda, Tokyo 

    Presentation date： 2009.03

  • On the mathematics fundamental education at universities

    Satoru Takagi

    16th Miyashiro Seminar, Nippon Institute of Technology, Saitama 

    Presentation date： 2008.09

  • Academic support systems at Kogakuin University

    Satoru Takagi

    Mathematical Study Symposium of the Mathematics Education Society of Waseda University, Waseda University, Tokyo 

    Presentation date： 2008.02

  • On weak solutions for parabolic-hyperbolic partial differential equations

    Satoru Takagi

    13th Miyashiro Seminar, Nippon Institute of Technology, Saitama 

    Presentation date： 2006.09

  • Renormalized dissipative solutions and applications

    Satoru Takagi

    Communication in Commutative Banach Algebra and Several Field of Mathematics, Kyoto University, Kyoto 

    Presentation date： 2005.11

  • On renormalized dissipative solutions for degenerate parabolic-hyperbolic equations

    Satoru Takagi

    2005 Spring Meeting of the Mathematics Society in Japan, Nihon University, Tokyo 

    Presentation date： 2005.03

  • Nonlinear differential equations and their applications

    Satoru Takagi

    Mathematical Study Symposium of the Mathematics Education Society of Waseda University, Waseda University, Tokyo 

    Presentation date： 2005.02

  • On renormalized dissipative solutions for parabolic-hyperbolic equations

    Satoru Takagi

    The Third Polish-Japanese Days, Chiba University, Chiba 

    Presentation date： 2004.11

  • On the renormalized dissipative solutions for conservation laws

    Satoru Takagi, Kazuo Kobayasi

    2004 Autumn Meeting of the Mathematics Society in Japan, Hokkaido University, Hokkaido 

    Presentation date： 2004.09

  • On the existence of renormalized dissipative solutions via relaxation for conservation laws

    Kazuo Kobayasi, Satoru Takagi

    Tenth International Conference on Hyperbolic Problems -- Theory, Numerics and Applications, Hotel Hankyu Expo Park, Suita, Osaka 

    Presentation date： 2004.09

  • On the equivalence of renormalized dissipative solutions and renormalized entropy solutions

    Satoru Takagi

    43rd Joint Symposium on Real Analysis and Functional Analysis, Iwate University, Iwate 

    Presentation date： 2004.07

  • On renormalized dissipative solutions for conservation laws

    Satoru Takagi

    Fourth World Congress of Nonlinear Analysts, Hyatt Regency Grand Cypress Resort, Orlando, Florida, USA 

    Presentation date： 2004.07

  • On renormalized dissipative solutions of scalar conservation laws III

    Satoru Takagi

    Analysis Seminar, Waseda University, Tokyo 

    Presentation date： 2004.05

  • On renormalized dissipative solutions of scalar conservation laws II

    Satoru Takagi

    Analysis Seminar, Waseda University, Tokyo 

    Presentation date： 2004.04

  • On renormalized dissipative solutions of scalar conservation laws I

    Satoru Takagi

    Analysis Seminar, Waseda University, Tokyo 

    Presentation date： 2004.04

  • On an equivalent definition of renormalized entropy solutions for divergence form equations

    Satoru Takagi

    Real Analysis Symposium 2003, Yamagata University, Yamagata 

    Presentation date： 2003.11

  • Some remarks on dissipative solutions

    Satoru Takagi

    25th Evolution Equations Seminar for Young Researcher, National Recreation Center at Dazaifu, Fukuoka 

    Presentation date： 2003.08

  • Some remarks on renormalized solutions

    Satoru Takagi

    2003 Spring Meeting of the Mathematics Society in Japan, University of Tokyo, Tokyo 

    Presentation date： 2003.03

  • Some remarks on renormalized solutions for nonlinear PDEs

    Satoru Takagi

    26th Waseda University Seminar on the 7th floor, Waseda University, Tokyo 

    Presentation date： 2002.12

  • On renormalized solutions for nonlinear degenerate problems

    Satoru Takagi

    Real Analysis Symposium 2002, Kagoshima University, Kagoshima 

    Presentation date： 2002.11

  • On renormalized solutions for nonlinear parabolic equations III

    Satoru Takagi

    Analysis Seminar, Waseda University, Tokyo 

    Presentation date： 2002.10

  • On renormalized solutions for nonlinear parabolic equations II

    Satoru Takagi

    Analysis Seminar, Waseda University, Tokyo 

    Presentation date： 2002.10

  • On renormalized solutions for nonlinear parabolic equations I

    Satoru Takagi

    Analysis Seminar, Waseda University, Tokyo 

    Presentation date： 2002.10

  • On the renormalized solutions for nonlinear degenerate equations

    Satoru Takagi

    2002 Autumn Meeting of the Mathematics Society in Japan, Shimane University, Shimane 

    Presentation date： 2002.09

  • Uniqueness of renormalized solutions for nonlinear degenerate problems

    Satoru Takagi

    Viscosity Solutions of Differential Equations and Related Topics, Kyoto University, Kyoto 

    Presentation date： 2002.09

  • Existence of renormalized solutions for reaction diffusion equations

    Satoru Takagi

    International Conference on Nonlinear Partial Differential Equations - Theory and Application, City University of Hong Kong, Hong Kong 

    Presentation date： 2002.08

  • Uniqueness of renormalized solutions for nonlinear degenerate second order equations

    Satoru Takagi

    PDE/Analysis seminar, University of California at Berkeley, Berkeley, California, USA 

    Presentation date： 2002.02

  • On the uniqueness of renormalized solutions

    Satoru Takagi, Takeshi Uehara, Kazuo Kobayasi

    2001 Spring Meeting of the Mathematics Society in Japan, Keio University, Kanagawa 

    Presentation date： 2001.03

  • Existence of local center unstable manifolds

    Satoru Takagi

    International Workshop "Fractals and Dynamical Systems" , Kyushu University, Fukuoka 

    Presentation date： 2001.01

  • On local center unstable manifolds

    Satoru Takagi

    Real Analysis Symposium 2000, Kyushu University, Fukuoka 

    Presentation date： 2000.11

  • On local center unstable manifolds

    Satoru Takagi, Kazuo Kobayasi

    2000 Autumn Meeting of the Mathematics Society in Japan, Kyoto University, Kyoto 

    Presentation date： 2000.09

▼display all

Research Projects

  • 「高水準の数学的リテラシー」概念下の大学数学教育の実践的展開に関する総合的研究

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

    Project Year :

    2022.04
    -
    2026.03
     

  • Consideration of puzzles and games that can be used as teaching materials for group theory

    Mathematics Education Society of Waseda University  Research Project (Individual)

    Project Year :

    2023.04
    -
    2024.03
     

    Satoru Takagi

  • Differences in understanding due to lecture styles

    Mathematics Education Society of Waseda University  Research Project (Individual)

    Project Year :

    2021.04
    -
    2022.03
     

    Satoru Takagi

  • 「高水準の数学的リテラシー」概念に基づく大学数学教育の教授法の開発

    日本学術振興会  科学研究費助成事業 基盤研究(B)

    Project Year :

    2019.04
    -
    2022.03
     

    川添 充, 落合 洋文, 西 誠, 小松川 浩, 高木 悟, 羽田野 袈裟義, 五島 譲司

    　View Summary

    非認知的能力の評価用に2019年度に開発した質問調査をウェブで行えるシステムを用いて評価の試行を行なった．新型コロナウィルス感染蔓延が続いたため，試行に参加できた大学・高専は少なかったが，目標であった教員向け機能検証を行うことはできた．改善点として挙げられたのは調査システムと各大学のLMSとの連携であった．調査システムは回答分析機能も有しているため，専用の学生アカウントを発行し，各大学のLMSとは独立に調査システムで回答する仕様であったが，オンライン授業下でのアカウント配布に課題があった．本年度の議論の結果，従来の機能を残しつつ，各大学のLMSで調査を行ってそのデータを調査システムに投入できるようにする機能を追加開発することにした．
    高水準の数学的リテラシー教育の教授法に関するハンドブック執筆の準備として，米国で編纂された冊子「数学的モデリング教育の評価と指導のガイドライン(GAIMME)」を参考にすることにして，その勉強会を定期的にオンラインで開催するとともに，ハンドブックの内容構成や執筆方針を議論するオンライン会議を定期的に開催した．オンラインでの会議を継続的に開催することにより，ハンドブックをQ＆A形式で執筆すること，教育の位置付け，授業デザインや教育方法・教材開発，教員に求められること，教材・授業事例集の4章構成とすることなどの方針を固めることができた．
    新型コロナウィルス感染拡大の影響で，発表する予定だった第14回国際数学教育会議(ICME-14)が1年延期となったが，予算繰越により延長された研究期間内にハイブリッド形式で実施されたため，文系学生を主な対象とする数学的モデリングの授業について，授業デザインの検証に関する発表と担当する教員の意識調査の結果に関する発表各1件，工学系の微積分の授業での工学の専門分野との接点をもった導入教材の開発に関する発表1件を行なった．

  • Utilization of rubrics for university mathematics subjects

    Mathematics Education Society of Waseda University  Research Project (Individual)

    Project Year :

    2018.04
    -
    2019.03
     

    Satoru Takagi

  • Design, implementation, continuous improvement and theory of university mathematics education under the concept of advanced mathematical literacy

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

    Project Year :

    2016.04
    -
    2019.03
     

    Kawazoe Mitsuru, Aoki Shigeru, Inoue Shuichi, Uesu Hiroaki, Saito Seiken, Takayasu Michiko, Tohma Makoto, Nakamigawa Tomoki, Namikawa Yukihiko, Nishiyama Hiromasa, Hasegawa Kenji, Funakura Takeo, Matsuda Osamu, Mori Sonoko, Morimoto Mari, Yanagi Kenjiro, Yamaguchi Sei-ichi

    　View Summary

    A research on the design of mathematics education at the college level was done from the viewpoint that makes much of the contexts of learning mathematics. The research group was divided into two working groups: one was charged with the mathematic education for a science course and the other was for a non-science course. The former developed sample texts of linear algebra and calculus of one variable function as well as a series of teaching materials of calculus of multi-variable function by taking account of engineering application. The way of active learning and flip teaching was also developed. The latter group studied implications of learning mathematics for students of non-science courses from the viewpoint of mathematical literacy and provided an epistemic framework which shows raison d'etre of mathematical knowledge. Some examples as well as a tentative guideline of designing mathematics education were proposed according to the framework.

  • モバイル・クラウドシステムを活用した俳句・連句創作活動支援と地方創生への貢献

    日本学術振興会  科学研究費助成事業 基盤研究(C)

    Project Year :

    2015.04
    -
    2018.03
     

    高田 伸彦, 高木 悟

    　View Summary

    本研究では, 今までに我々が研究してきた俳句・連句を題材にした文学的な世界を対象とし, 屋内では室内設置の端末で, 屋外では携帯情報端末で, それぞれの場面において俳句や連句の創作環境をより発展させることを目的にした. 特に, 北陸圏の観光分野との融合を図り, 俳句・連句関連のアプリケーション開発やシステムの構築をすることを念頭に研究を進めた. そのための中心となる研究は, 観光地における訪問者の希望に沿う最適経路選択のシステム, 音声入力による俳句・連句創作の補助, 俳句・連句創作時に観光地と関連する美術作品を提示して創作の手助けをするツールの開発である. 経路選択については, 数学的な視点からのアプローチと商用的な視点からのアプローチ両者についてそれぞれ関係者を訪問して意見交換をしたが, 特に不特定多数の訪問者からデータを収集する点について, それらが個人データとなることから非常に取り扱いが難しく, かつ, 関係企業とも連携した取り組みとして行う必要があるという結論になり, 既存のシステムと協力しながら研究を進められないか模索した. 一方, 音声入力関係については, 携帯情報端末に組み込んで実験を行った. この音声入力機能は, 文字入力とは別の手法として確立されているが, 今回の音声入力機能の実現ならびに実験では, 俳句・連句の手法としても手入力の手段にとって代わるものには至らないという結論が出た. また, 過去の研究成果である美術に関する静止画やアニメーション作品を, 観光地と関連付け, 今回の俳句・連句創作のひとつのヒントとして提供できるようデータベース化を進めた. 最後の取りまとめの段階で研究代表者が病に倒れ, 研究を最後まで継続することができなくなった. お詫び申し上げる.

  • improvement and evaluation of mathematical ability constructiong base of student lirteracy

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (B)

    Project Year :

    2013.04
    -
    2016.03
     

    MIZUMACHI Ryuichi, KAWAZOE Mitsuru, NISHI Makoto, KOMATSUGAWA Hiroshi, GOTO Jhoji, HATANO Kesayoshi, MUKUMOTO Hiroshi, MISONO Tadashi, TERADA Mitsugu, TAKAYASU Michiko, TAKAGI Satoru, OCHIAI Hirofumi, AOKI Shigeru, YAJIMA Akira, TOMA Makoto, Mori SONOKO, FUNAKURA Takeo, UESU Hiroaki, MATSUDA Osamu, MORIMOTO Mari, INOUE Shuichi, YAMAGUCHI Seiichi, HAGIO Yukiko, NISHIYAMA Hiromasa, HORIGUCHI Tomoyuki, WATANABE Sin, KONDO Keisuke

    　View Summary

    We held an international workshop to discuss mathematical education at the university level with consciousness of transition from secondary. Out proposal was education for mathematical literacy was effective, which includes modeling process requiring advanced knowledge. The conclusion was that mathematical literacy should be interpreted as “advanced one” and it may be potential if one notes some remarks. Our research went on this direction. First we made clear what “advance mathematical literacy” means. We conclude it is a competence integration cognitive abilities and non-cognitive abilities such as values and attitudes. To giving educational design, one should be explicitly conscious with context of the class and course, with values of mathematics that would be agreed by students, and attitudes and dispositions that students will acquire. Simultaneously we developed teaching materials to use in calculus, linear algebra, and statistics and others for humanities courses.

  • Entropy solutions for nonlinear degenerate parabolic equations and hyperbolic systems of conservation laws

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)

    Project Year :

    2010.04
    -
    2012.03
     

    KOBAYASI Kazuo, OHWA Hiroki, TAKAGI Satoru

    　View Summary

    The theory of the Cauchy problem for one-dimensinal n×n systems of conservation laws has evolved from a set of works by A. Bressan et al via the front tracking method. The argument developed there is, however, rather complex. In this research we restricted ourself to the case of one-dimensional 2×2 systems of conservation laws and succeeded to make clear the geometrical structure of shock curves for the Riemann problem (with initial data of step functions). Using the structure theory established here we gave a simple argument in the front trucking method and proved the existence of entropy solutions to general Cauchy problems. Besides, we obtained the comparison and existence of entropy solutions to nonlinear anisotropic degenerate parabolic equations with initial-boundary conditions.

  • A structure of solutions of initial-boundary value problems for parabolic-hyperbolic equations and applications to numerical analises

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research Grant-in-Aid for Scientific Research (C)

    Project Year :

    2004.04
    -
    2005.03
     

    KOBAYASI Kazuo, TAKAGI Satoru

    　View Summary

    This research is mainly concerned with entropy solutions for scalar conservation laws as well as nonlinear degenerate parabolic equations. The main results which we obtained are the followings : 1. We introduce a new notion of renormalized dissipative solutions for scalar conservation laws with locally Lipschitz continuous flux-functions and prove that this solution is equivalent to renormalized entropy solutions which are introduced by Benilan et al. in the study of (unbounded) L1 solutions. We also construct a renormalized dissipative solution for contractive relaxation systems in merely an L1 setting. 2. We study two types unbounded weak solutions of the Cauchy problem for scalar conservation laws, that is a renormalized entropy solution and a kinetic solution. It is proved that if u is a kinetic solution, then it is indeed a renormalized entropy solution. Conversely, we prove that if u is a renormalized entropy solution which satisfies a certain additional condition, then it becomes a kinetic solution. 3. We study the comparison principle for nonlinear degenerate parabolic equations with initial and non-homogeneous boundary conditions. We prove a comparison theorem for any (bounded) entropy sub-and super-solution. The L1 contractivity and therefore uniqueness of (unbounded) entropy solutions has been obtained so far, but a comparison result is new. The method used there is the so called doubling variable technique due to Kruzkov. Our method is based upon the kinetic formulation and the kinetic technique. By developing the kinetic technique for degenerate parabolic equations with boundary conditions, we obtain a comparison property. 4. We extend the above result stated in the item 3 to the case of unbounded entropy solutions. We consider the problem in an L1 framework and prove a comparison theorem and existence theorem for renormalized entropy solutions.

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Misc

  • Symposium "Mathematical Modeling Education in Tertiary Transition"

    Satoru Takagi

    Proceedings of the Spring Meering 2025, Mathematics Education Society of Japan     42 - 42  2025.03  [Invited]

    Research paper, summary (national, other academic conference)  

  • A Consideration about Practical Teaching Method of Contract Bridge (17)

    Ryo Namiki, Eiki Shimizu, Takenobu Takizawa, Satoru Takagi

    IPSJ SIG Technical Report   2025-GI-54 ( 6 ) 1 - 8  2025.03

    Research paper, summary (national, other academic conference)  

  • Reasoning the direction of water surface profile calculation of steady flows in an open-channel (Part 2)

    Kesayoshi HADANO, Shinji ARAO, Satoru TAKAGI

    Proceedings of the annual meeting of the Japanese Society of Irrigation, Drainage and Rural Enginerring     1 - 5  2024.11

  • Study on the reason for the calculation direction of nonuniform flow in open-channel

    Kesayoshi Hadano, Shinji Arao, Satoru Takagi

    Proceedings of the Annual Meeting 2024, JSFM    2024.09

    Research paper, summary (national, other academic conference)  

  • Renormalization theory of partial differential equations

    Satoru Takagi

    Proceedings of the 220th Fuzzy Scientific Symposium   38 ( 1 ) 1 - 16  2024.05  [Invited]

    Lecture material (seminar, tutorial, course, lecture, etc.)  

  • A study on the direction of surface profile calculations and the assignment of boundary conditions of open-channel steady flows

    Kesayoshi Hadano, Shinji Arao, Satoru Takagi

    Research Report of the Annual Meeting of the Japan Society of Civil Engineers Western Branch 2023     239 - 240  2024.03

    Research paper, summary (national, other academic conference)  

  • A Consideration about Practical Teaching Method of Contract Bridge (16)

    Ryo Namiki, Eiki Shimizu, Takenobu Takizawa, Satoru Takagi

    IPSJ SIG Technical Report   2024-GI-51 ( 6 ) 1 - 7  2024.03

    Research paper, summary (national, other academic conference)  

  • Regarding the 36th Annual Conference

    Satoru Takagi

    Proceedings of the 36th Annual Conference of the Biomedical Fuzzy System Association     iii  2023.12

    Meeting report  

  • Reasoning the direction of surface profile calculation of open-channel steady flows

    Kesayoshi HADANO, Satoru TAKAGI, Shinji ARAO

    Proceedings of the annual meeting of the Japanese Society of Irrigation, Drainage and Rural Enginerring     36 - 39  2023.12

    Research paper, summary (national, other academic conference)  

  • The 64th International Mathematical Olympiad (IMO2023)

    Satoru Takagi

    Waseda Journal of Mathematics Education   41 ( 1 ) 103 - 104  2023.11

  • An encounter with Professor Hajime Yamashita

    Satoru Takagi

    Waseda Journal of Mathematics Education   41 ( 1 ) 25  2023.11

  • Interview

       2020.05

  • Mathematics Literacy Education at Waseda University "Introduction to University Mathematics" Series

    Satoru Takagi, Naoki Endo

    TECUM Logos and Praxis Series, Feb. 2020     31 - 34  2020.02

  • Differences in rubric results between face-to-face and full-on-demand lectures

    Satoru Takagi

    Proceedings of the 32nd Annual Conference of the Biomedical Fuzzy System Association     2 pages - usb memory  2019.11

  • Utilization of Rubrics in Full On-Demand Style University-Wide Mathematics Literacy Education

    Satoru Takagi, Yasuhiro Hayashi, Takeo Nikami

    Japanese Society for Information and Systems in Education Research Report   34 ( 2 ) 109 - 112  2019.07

  • A case study on the utilization of rubrics in mathematics lectures

    Satoru Takagi, Yasuhiro Hayashi, Takeo Nikami

    Proceedings of the 31st Annual Conference of the Biomedical Fuzzy System Association     134 - 137  2018.11

  • Educational materials on multivariable calculus as seen from the application to engineering

    Satoru Takagi, Kesayoshi Hadano

    Proceedings of the 2018 Annual Meeting, Academic Exchange for Information Environment and Strategy     2 pages - web only  2018.11

  • Memories of Professor Isao Miyadera

    Satoru Takagi

    Waseda Journal of Mathematics Education   35 ( 1 ) 21  2017.12

  • Relationship between units in calculus by rubric

    Satoru Takagi, Takeo Nikami

    Proceeding of the 42nd Annual Meeting, Japanese Society for Information and Systems in Education     289 - 290  2017.08

  • Article

       2017.07

  • Book introduction "Introduction to finite element method for engineering"

    Satoru Takagi

    Waseda Journal of Mathematics Education   34 ( 1 ) 106  2016.12

  • A method of needs analysis of undergraduate students at mathematics lectures

    Satoru Takagi, Hiroaki Uesu

    Proceedings of the 29th Annual Conference of the Biomedical Fuzzy System Association     204 - 207  2016.11

  • A method of needs analysis of students

    Satoru Takagi, Hiroaki Uesu

    Japanese Society for Information and Systems in Education Research Report   31 ( 2 ) 91 - 96  2016.07

  • A needs analysis at on-demand lectures applying type-2 fuzzy contingency table

    Hiroaki Uesu, Satoru Takagi

    Proceedings of the 175th Fuzzy Scientific Symposium and 3rd Kogakuin University Mathematical Science Seminar   30 ( 2 ) 6 - 14  2016.07

  • Mathematics intensive lecture by Kogakuin University U.S. Seattle hybrid study abroad program, II

    Satoru Takagi

    Waseda Journal of Mathematics Education   33 ( 1 ) 60 - 60  2015.12

  • An Analytical Method of Students’ Needs in Undergraduate Mathematics Lectures

    Satoru Takagi, Hiroaki Uesu

    Study Reports of the Japan Society for Science Education   30 ( 2 ) 81 - 86  2015.11

  • Academic skills curriculum in mathematics using ICT at Waseda University V

    Hiroaki Uesu, Kazuhiro Oeda, Seiken Saito, Takenobu Takizawa, Takuya Sobukawa, Satoru Takagi

    Journal of Mathematics Education Society in Japan     199 - 201  2015.09

  • A needs analysis of undergraduate students at mathematics lectures II

    Satoru Takagi, Hiroaki Uesu

    Journal of Mathematics Education Society in Japan    2015.09

  • A needs analysis of students by fuzzy reasoning

    Satoru Takagi, Hiroaki Uesu

    Proceedings of the 168th Fuzzy Scientific Symposium   29 ( 1 ) 1 - 6  2015.05

  • A needs analysis of undergraduate students at mathematics lectures

    Satoru Takagi, Hiroaki Uesu

    Journal of Mathematics Education Society in Japan     279 - 281  2015.03

  • Academic skills curriculum in mathematics using ICT at Waseda University IV

    Hiroaki Uesu, Kazuhiro Oeda, Seiken Saito, Takenobu Takizawa, Takuya Sobukawa, Satoru Takagi

    Journal of Mathematics Education Society in Japan     273 - 275  2015.03

  • An Analysis of Students' Needs for Undergraduate Mathematics Lectures through the Kano Model, II

    Satoru Takagi, Hiroaki Uesu

    Proceedings of the 25th Soft Science Workshop     4 pages (CD-ROM)  2015.03

    Research paper, summary (national, other academic conference)  

  • Mathematics intensive lecture by Kogakuin University U.S. Seattle hybrid study abroad program

    Satoru Takagi

    Waseda Journal of Mathematics Education   32 ( 1 ) 48 - 48  2014.12

  • An encounter with Professor Junzo Wada

    Satoru Takagi

    Waseda Journal of Mathematics Education   32 ( 1 ) 15  2014.12

  • Introductory Education on Binary Numbers using Napier’s Binary Chessboard

    Satoru Takagi, Kazuki Maeyama

    Study Reports of the Japan Society for Science Education   29 ( 1 ) 67 - 70  2014.11

  • Academic skills curriculum in mathematics using ICT at Waseda University III

    Hiroaki Uesu, Kazuhiro Oeda, Seiken Saito, Takenobu Takizawa, Takuya Sobukawa, Satoru Takagi, Reiko Shinjo

    Journal of Mathematics Education Society in Japan     114 - 116  2014.09

  • Pre-admission education using Napier's binary chessboard for the school of informatics II

    Satoru Takagi, Kazuki Maeyama

    Journal of Mathematics Education Society in Japan     71 - 73  2014.09

  • An analysis of students' needs for undergraduate mathematics lectures applying the Kano model

    Satoru Takagi, Hiroaki Uesu

    Abstracts of Applied Mathematics Sction of Mathematics Society in Japan     111 - 112  2014.09

  • Introductory education on information mathematics before entering universities

    Satoru Takagi, Kazuki Maeyama

    Japanese Society for Information and Systems in Education Research Report   29 ( 2 ) 81 - 84  2014.07

    CiNii

  • Basic mathematics education utilizing ICT at Waseda University

    Hiroaki Uesu, Takenobu Takizawa, Kazuhiro Oeda, Satoru Takagi, Reiko Shinjo

    Japanese Society for Information and Systems in Education Research Report   29 ( 2 ) 85 - 88  2014.07

    CiNii

  • Information mathematics education using Napier's binary chessboard before entering university

    Satoru Takagi, Kazuki Maeyama

    Proceedings of the 162nd Fuzzy Scientific Symposium   28 ( 1 ) 16 - 19  2014.05

  • An Analysis of Students' Needs for Undergraduate Mathematics Lectures through the Kano Model

    Hiroaki Uesu, Satoru Takagi

    Proceedings of the 24th Soft Science Workshop     87 - 88  2014.03

  • Pre-admission education using Napier's binary chessboard for the school of informatics

    Satoru Takagi, Kazuki Maeyama

    Journal of Mathematics Education Society in Japan     252 - 254  2014.03

  • Academic skills curriculum in mathematics using ICT at Waseda University II

    Ken-ichi Nagashima, Hiroaki Uesu, Kazuhiro Oeda, Takenobu Takizawa, Satoru Takagi, Reiko Shinjo

    Journal of Mathematics Education Society in Japan     246 - 248  2014.03

  • Utilization of electronic textbooks in mathematics lectures at universities

    Satoru Takagi

    Japanese Society for Information and Systems in Education Research Report   28 ( 5 ) 57 - 62  2014.01

    CiNii

  • First year education at Kogakuin University - on the fundamental exercises at the department of mechanical systems engineering, school of engineering -

    Satoru Takagi

    Waseda Journal of Mathematics Education   31 ( 1 ) 69 - 70  2013.12

  • Mathematics literacy education before entering universities

    Satoru Takagi

    Study Reports of the Japan Society for Science Education   28 ( 2 ) 63 - 66  2013.11

  • Academic skills curriculum in mathematics using ICT at Waseda University

    Ken-ichi Nagashima, Hiroaki Uesu, Kazuhiro Oeda, Takenobu Takizawa, Satoru Takagi, Reiko Shinjo

    Journal of Mathematics Education Society in Japan     167 - 169  2013.09

  • Mathematics literacy education and learning support utilizing ICT at universities

    Satoru Takagi

    Proceeding of the 38th Annual Meeting, Japanese Society for Information and Systems in Education     215 - 216  2013.09

  • Literacy education before entering universities

    Satoru Takagi

    Proceeding of the 29th Annual Meeting, Japanese Society for Educational Technology     893 - 894  2013.09

  • Literacy education after entering universities

    Satoru Takagi

    Journal of Mathematics Education Society in Japan     170 - 172  2013.09

  • Mathematics education before and after entering universities

    Satoru Takagi

    Japanese Society for Information and Systems in Education Research Report   28 ( 2 ) 91 - 94  2013.07

    CiNii

  • Mathematics education before and after entering universities

    Satoru Takagi

    Journal of Mathematics Education Society in Japan     9 - 10  2013.07

  • Mathematics literacy education at Waseda University VIII

    Takatoshi Yoshii, Hiroaki Uesu, Satoru Takagi

    Journal of Mathematics Education Society in Japan     276 - 278  2013.03

  • Introductory education before entering universities

    Satoru Takagi

    Journal of Mathematics Education Society in Japan     279 - 281  2013.03

  • Interview

       2012.12

  • Mathematics literacy education using ICT at universities

    Satoru Takagi

    Study Reports of the Japan Society for Science Education   27 ( 1 ) 87 - 92  2012.12

  • E-learning contents on mathematics at Kogakuin University

    Satoru Takagi

    Waseda Journal of Mathematics Education   30 ( 1 ) 71 - 73  2012.12

    CiNii

  • Activity reports on the learning management systems at each two universities

    Satoru Takagi

    Study Reports of the Japan Society for Educational Technology     13 - 20  2012.10

  • Mathematics literacy education at Waseda University VII

    Takatoshi Yoshii, Satoru Takagi

    Journal of Mathematics Education Society in Japan     162 - 164  2012.09

  • Mathematics literacy education for non specialists on mathematics at universities

    Satoru Takagi

    Journal of Mathematics Education Society in Japan     181 - 183  2012.09

  • Interview

       2012.06

  • Mathematics literacy education at Waseda University VI

    Satoru Takagi

    Journal of Mathematics Education Society in Japan    2012.03

  • Mathematics literacy education utilizing ICT at Waseda University

    Satoru Takagi

    Proceedings of the 2011 Annual Meeting, Academic Exchange for Information Environment and Strategy    2011.12

  • Academic skills curriculum in mathematics at Waseda University IV

    Satoru Takagi

    Waseda Journal of Mathematics Education   29 ( 1 ) 42 - 45  2011.12

  • Activity reports on the mathematics literacy education at Waseda University

    Satoru Takagi

    Proceedings of the 27th Annual Meeting, Japan Society for Educational Technology     675 - 676  2011.09

    CiNii

  • On the pre-admission education in AY2011 at Waseda University

    Proceedings of the PC Conference 2011     146 - 149  2011.08

  • Mathematics literacy education at Waseda University V

    Satoru Takagi

    Journal of Mathematics Education Society in Japan     181 - 183  2011.03

  • Academic skills curriculum in mathematics at Waseda University III

    Satoru Takagi

    Waseda Journal of Mathematics Education   28 ( 1 ) 67 - 70  2010.12

  • Article

       2010.11

  • Mathematics literacy education at Waseda University IV

    Satoru Takagi

    Journal of Mathematics Education Society in Japan     13 - 15  2010.09

  • Mathematics literacy education at Waseda University III

    Satoru Takagi

    Journal of Mathematics Education Society in Japan     64 - 66  2010.03

  • Academic skills curriculum in mathematics at Waseda University II

    Satoru Takagi

    Waseda Journal of Mathematics Education   27 ( 1 ) 69 - 72  2009.12

  • Mathematics literacy education at Waseda University II

    Satoru Takagi

    Journal of Mathematics Education Society in Japan     123 - 125  2009.09

  • Activity reports on Waseda University academic skills curriculum

    Satoru Takagi

    Proceedings of the 25th Annual Meeting, Japan Society for Educational Technology     707 - 708  2009.09

    CiNii

  • Activity reports on the academic skills curriculum in mathematics at Waseda University

    Satoru Takagi

    Proceedings of the PC Conference 2009     459 - 462  2009.08

  • Mathematics literacy education at Waseda University III

    Satoru Takagi

    Journal of Mathematics Education Society in Japan     130 - 132  2009.03

  • Academic skills curriculum in mathematics at Waseda University

    Satoru Takagi

    Waseda Journal of Mathematics Education   26 ( 1 ) 31 - 33  2008.12

  • Academic support systems at Kogakuin University

    Satoru Takagi

    Waseda Journal of Mathematics Education   26 ( 1 ) 67 - 73  2008.12

  • Report on the inspection of information technology and education circumstances at universities in the United States

    Satoru Takagi

    Waseda Journal of Mathematics Education   26 ( 1 ) 74 - 76  2008.12

  • Activity report on the mathematics department at academic support center 2007

    Tadashi Tagami, Kengo Yoda, Satoru Takagi, Zen-ichi Yoshimura, Kiyoshi Kitahara

    Annual report of the academic support center, Kogakuin University   3   11 - 42  2008.05

  • Use of the academic support center

    Satoru Takagi

    Waseda Journal of Mathematics Education   25 ( 1 ) 81 - 84  2007.12

  • Activity report on the mathematics department at academic support center 2006

    Tadashi Tagami, Yoko Koshina, Kengo Yoda, Satoru Takagi, Kiyoshi Kitahara

    Annual report of the academic support center, Kogakuin University   2   17 - 54  2007.05

  • On the academic support center at Kogakuin University

    Satoru Takagi

    Waseda Journal of Mathematics Education   24 ( 1 ) 79 - 81  2006.12

  • Nonlinear differential equations and their applications

    Satoru Takagi

    Waseda Journal of Mathematics Education   23 ( 1 ) 92 - 93  2005.12

  • Some remarks on dissipative solutions

    Satoru Takagi

    Proceedings of the 25th Evolution Equations Seminar for Young Researcher     176 - 182  2004.08

  • On the equivalence of renormalized dissipative solutions and renormalized entropy solutions

    Satoru Takagi

    Proceedings of the 43rd Joint Symposium on Real Analysis and Functional Analysis     121 - 137  2004.07

  • On renormalized solutions for nonlinear degenerate problems

    Satoru Takagi

    Proceedings of the Real Analysis Symposium 2002     171 - 176  2002.11

  • On local center unstable manifolds

    Satoru Takagi

    Proceedings of the Real Analysis Symposium 2000     4 - 9  2000.11

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Other

  • Junior High School and High School Specialized Teacher’s Certificate (Mathematics)

    1999.03
    　
    　

  • Japanese Word Processor Kentei 2nd grade

    1997.05
    　
    　

  • OA Instractor (Business Computer) 1st grade

    1997.02
    　
    　

  • CAD Administrator 2nd grade

    1996.12
    　
    　

  • Suugaku Kentei 1st grade

    1995.11
    　
    　
 

Syllabus

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Teaching Experience

  • Prime numbers and cryptology

    Waseda University  

    2025.04
    -
    Now
     

  • An Invitation to Knot Theory

    Waseda University  

    2023.11
    -
    Now
     

  • Exercises in Linear Algebra I

    Hosei University  

    2023.09
    -
    Now
     

  • Exercises in Calculus I

    Hosei University  

    2023.09
    -
    Now
     

  • Calculus with Precalculus

    Hosei University  

    2023.04
    -
    Now
     

  • Special Studies in Teaching Mathematics III

    Waseda University  

    2023.04
    -
    Now
     

  • Methods of Teaching Mathematics

    Waseda University  

    2022.04
    -
    Now
     

  • Methods of Teaching Mathematics (Information and Evaluation)

    Waseda University  

    2022.04
    -
    Now
     

  • Special Studies in Information Science and Mathematics III

    Waseda University  

    2022.04
    -
    Now
     

  • Special Studies in Teaching Mathematics IV

    Waseda University  

    2022.04
    -
    Now
     

  • Exercises in Basic Mathematics II

    Hosei University  

    2022.04
    -
    Now
     

  • Visual Group Theory

    Waseda University  

    2020.09
    -
    Now
     

  • Calculus 2 B

    Waseda University  

    2019.09
    -
    Now
     

  • Calculus 1 B

    Waseda University  

    2019.04
    -
    Now
     

  • Ordinary Differential Equations

    Hosei University  

    2018.09
    -
    Now
     

  • Introduction to University Mathematics (Analysis) gamma

    Waseda University  

    2018.06
    -
    Now
     

  • Introduction to University Mathematics (Linear Algebra) gamma

    Waseda University  

    2018.06
    -
    Now
     

  • Basics of Geometry

    Hosei University  

    2015.09
    -
    Now
     

  • Information Mathematics

    Kogakuin University  

    2012.04
    -
    Now
     

  • Introduction to University Mathematics (Linear Programming) beta

    Waseda University  

    2010.04
    -
    Now
     

  • Introduction to University Mathematics (Calculating Interest) beta

    Waseda University  

    2009.09
    -
    Now
     

  • Introduction to University Mathematics (Linear Programming) alpha

    Waseda University  

    2009.04
    -
    Now
     

  • Introduction to University Mathematics (Calculating Interest) alpha

    Waseda University  

    2008.09
    -
    Now
     

  • Linear Algebra

    Kogakuin University  

    2005.04
    -
    Now
     

  • Calculus

    Kogakuin University  

    2004.04
    -
    Now
     

  • Introduction to Mathematics for Economics

    Waseda University  

    2018.09
    -
    2021.03
     

  • Algebra

    Kogakuin University  

    2013.04
    -
    2019.09
     

  • Ordinary Differential Equations (basic)

    Waseda University  

    2014.04
    -
    2018.09
     

  • Linear Algebra

    Waseda University  

    2017.04
    -
    2018.03
     

  • Introduction to Mathematics for Economics and Management

    Dokkyo University  

    2016.04
    -
    2017.03
     

  • Basic Mathematics

    Kogakuin University  

    2013.04
    -
    2016.09
     

  • Complex Analysis

    Kogakuin University  

    2013.09
    -
    2016.03
     

  • Mathematics a / b

    Dokkyo University  

    2005.04
    -
    2016.03
     

  • Seminar for Mechanical System

    Kogakuin University  

    2013.04
    -
    2015.09
     

  • Calculus

    Waseda University  

    2014.04
    -
    2015.03
     

  • Seminar in Mathematics 2 B

    Waseda University  

    2013.04
    -
    2014.03
     

  • Calculus I / II

    Tokyo Gakugei University  

    2008.04
    -
    2009.03
     

  • Mathematics

    Tokyo Gakugei University  

    2005.10
    -
    2009.03
     

  • Set theory and logic

    Tokyo Gakugei University  

    2007.10
    -
    2008.03
     

  • Seminar II a / b

    Dokkyo University  

    2006.04
    -
    2007.03
     

  • Mathematics for Management a / b

    Dokkyo University  

    2006.04
    -
    2007.03
     

  • Linear Algebra

    Nippon Institute of Technology  

    2005.09
    -
    2006.03
     

  • Mathematics for Electronic I

    Nippon Institute of Technology  

    2005.04
    -
    2005.09
     

  • Basic Mathematics for Computer II

    Nippon Institute of Technology  

    2005.04
    -
    2005.09
     

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Social Activities

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Sub-affiliation

  • Faculty of Political Science and Economics   School of Political Science and Economics

  • Faculty of Education and Integrated Arts and Sciences   School of Education

  • Faculty of Education and Integrated Arts and Sciences   Graduate School of Education

Research Institute

  • 2023
    -
    2028

    Game Sciences Laboratory   Director of Research Institute

Internal Special Research Projects

  • 文系大学生への数学的リテラシーを育む教材開発

    2024  

    　View Summary

    文系大学生への数学的リテラシーを育む教材開発として，2025年度から担当するRSA暗号に関するクォーターのフルオンデマンド科目の設計を念頭に進めた．主な受講対象者が文系大学生であることから，まずは暗号の仕組みについて，いくつかの暗号方式や具体的な暗号を多く紹介し，興味を持たせることにした．数学については，数の概念と集合，倍数・約数，ユークリッドの互除法，１次不定方程式など，高校で扱う数学から丁寧に解説することとし，性質（定理）の確認などは，まずは証明ではなく具体的な例を紹介することとした．一方で，証明を知りたいというニーズにも応えられるよう，証明だけのビデオ講義も作成することとした．これらの知識をベースに，合同式やオイラー関数，フェルマーの小定理を講義し，RSA暗号理論への理解へと進む流れとした．RAS暗号の弱点である素因数分解の速さやアルゴリズムについても触れ，解読されにくいより安全な暗号についても考えてもらう内容とした．

  • 文系を含む大学生への数学的素養としての微分積分教材開発

    2023  

    　View Summary

    文系を含む大学生への，数学的素養としての微分積分の教材を検討した．高等学校で学習する微分積分から始め，ε-δ論法による関数の極限の解説を加えることで，大学レベルの数学に触れること，また，論理的な思考能力を育みながら数学的素養も身につけることができる教材とした．微分積分の応用例として微分方程式を扱い，実社会で微分積分がどのように使われているのかを解説した．微分方程式の例としては，コーヒーの温度変化や経済成長モデルなどに加え，工学研究者と共同で研究している水理学で行なわれる開水路定常流の水面形計算の考え方についても加えた．文系学生には難しい応用例ではあるが，教材内で扱う微分方程式の解法で解決でき，かつ，実際の現象に即したモデルであり，有用であると判断した．

  • 非理工系学生に数学的リテラシーを習得させる教材の開発

    2022  

    　View Summary

    非理工系学生に数学的リテラシーを習得させる教材について，今までの研究をもとに，基礎解析学と線形代数学に関する教材を検討した．これらの分野は，理工系では専門基礎となるものであるが，非理工系であってもそれらの仕組みを理解することで社会で使われている数学を知り，どこかで急に数学が必要な場面に遭遇しても対応できるような数学的リテラシーを身につけるのに相応しい分野である．また，それらの仕組みを理解する上で論理的思考力が必要となるが，その力を自然と身につけられるような流れを意識して，まずは簡単な行列計算と連立１次方程式の仕組みから，線形計画問題を解決できるような教材を開発した．

  • 数学を専門としない大学生への学士力を保証する大学数学カリキュラムと教材開発

    2021  

    　View Summary

    数学を専門としない大学生への学士力を保証する大学数学カリキュラムと教材開発について，今までの研究をもとに発展させた．具体的には，数学基礎，微分積分，線形代数の３つの柱を考え，それぞれにおける修得事項と教材を検討した．例えば，微分積分については，応用上どのような形で微分積分が使われているのかを先に紹介してから数学の概念に入るような教材を実際に作成し，担当授業で使用した．この教材案は数学教育の国際会議ICMEで口頭発表し，論文は国際雑誌に投稿中である．また，数学基礎については，筆者が担当している全学基盤教育を改訂することにし，まずは金利編について教材を作り直し，本を執筆した．

  • 数学を専門としない理工系初年次学生向けの微分積分教材・カリキュラム開発

    2020  

    　View Summary

    数学を専門としない理工系初年次学生向けの微分積分教材・カリキュラムについて，2018年度の特定課題研究にて得られた知見をもとに，さらに発展させた．具体的には，数学科以外の理工系学科における微分積分において，専門基礎と絡めた微分積分の応用例を豊富に盛り込むことで，数学と専門分野の理解の橋渡しが可能となり，将来における見通し，そして現時点で学習している微分積分の意味を深く理解することが可能となるような単元をいくつか作成した．代表者は残念ながらそのような科目を担当しておらず検証はできていないが，経済学で必要となる数学の基礎を講義する機会を得たので，理工系に限定せずに専門で数学を活用する学科における微分積分教材についての適用についても検討した．

  • 大学入学前から初年次そして学士力を保証するスパイラルアップ型数学カリキュラム開発

    2019  

    　View Summary

    大学入学前から初年次，そして学士力を保証するスパイラルアップ型の数学カリキュラムの開発については，科研費で3年程度の研究として考えていたため，本特定課題では1年の研究期間で，まずは学生の数学利用に応じた3つのモデル (1) 数学を使わない学生，(2) 数学を専門とはしないが数学を使う学生，(3) 数学を専門とする学生，を設定し，それぞれに対してまずは本学の状況を見ながら具体的に検討することとした．推薦等により大学へ入学予定の生徒を対象に，大学入学前に実施する導入教育については，現在本学では高大連携部署が検討中であるため，大学初年次のカリキュラムをベースに，実際に授業を担当しながら検討した．

  • 大学の数学講義に特化したルーブリックの開発

    2019  

    　View Summary

    研究代表者らの過去の研究をもとに，大学での数学講義に特化したルーブリックについて研究した．ルーブリックは本来，試験等による評価が困難な思考・表現・態度の評価に向いているが（受動的側面），本研究では試験等により比較的評価しやすい数学科目において，学習者が自身の学力を把握し，学習到達目標を明確にすることで学習のモチベーションを維持し，結果的に学生の主体性を引き出す効果（能動的側面）が得られるようなルーブリックの作成を検討した．実際に代表者が担当する複数の数学講義において実施し，改良を重ね，効果のあるルーブリックを作成することができたが，一方で懸念事項も生じたため，どのように対処するか検討中である．

  • 数学を専門としない大学初年次学生への数学教育方法の開発研究

    2018  

    　View Summary

    本研究課題では，期間が1年であること，また早稲田大学に着任して1年目であることから，今まで研究してきた大学入学前と初年次の数学教育を今後にスムースにつなげていくための準備を完了させることを目的としている．まずは早稲田大学での入学前や初年次における数学教育の取り組みをまとめ，さらに代表者の前任校である工学院大学，また代表者と交流のある教員が所属し，それぞれ特色のある取り組みをしている千歳科学技術大学，九州産業大学，金沢工業大学，名桜大学を訪問し，実施状況を伺った．これらの事例をもとに，早稲田大学で実現可能な数学教育の方向性を検討した．

  • 退化する非線形偏微分方程式の解の研究とその応用

    2004  

    　View Summary

    　非線形偏微分方程式の一例である退化放物型－双曲型方程式の再正規化消散解について研究した．　保存則における再正規化消散解については，2004年に小林和夫教授との共同研究でその解を構築し，Benilan らにより導入された再正規化エントロピー解との同値性を示した．本研究ではその結果を，保存則を含む退化放物型－双曲型方程式へ拡張することを試みた．この再正規化消散解の概念は，緩和系モデルにおいて再正規化エントロピー解よりも扱いやすい構造をしているのが特徴である．退化放物型－双曲型方程式における緩和系モデルとしては，一般化ステファン問題などがあり，生物学上の応用面にも優れているため，この理論の拡張をすることは有益である．　退化放物型－双曲型方程式における再正規化消散解の構築については，Perthame and Souganidis により有界な場合に限った消散解の概念が導入されているので，それを拡張した．一方，Bendahmane and Karlsen により，再正規化エントロピー解の存在性と一意性が証明されているので，この解との同値性を証明した．この際，いわゆる２階の拡散項の影響で Dirac mass が現れるが，連続関数による畳み込みを行うことにより，その困難を克服した．あとは Kruzkov による変数二重法を巧みに適用することにより，再正規化消散解と再正規化エントロピー解の同値性が証明できた．この応用例として，１階と２階の緩和系モデルそれぞれにおいて，再正規化消散解の一意存在性を証明した．この結果は国際雑誌“Communications in Applied Analysis”に掲載される．また，2004年11月に行われた国際会議“The Third Polish-Japanese Days”において講演をし，レビューを受けた．2005年3月に行われる日本数学会年会においても講演する予定である．

  • 非線形退化型偏微分方程式の再正規化エントロピー解の研究

    2003  

    　View Summary

    非線形退化型偏微分方程式の一例である保存則の再正規化エントロピー解について研究した．保存則の研究はかなり古くから行われているが，1971年にKruzkovによりエントロピー条件を満たす弱解，エントロピー解の一意性が証明された．このとき，時間初期値とエントロピー解は有界でなければならなかったが，その後，2000年にBenilanらにより，流束関数が局所リプシッツ連続で，かつ，ルベーク可積分関数の外力と時間初期値（有界とは限らない）をもつ保存則の再正規化エントロピー解の概念が確立され，その存在性と一意性が証明された．この場合，解は一般に非有界となり，流束関数に増大条件を課さないと，流束関数は局所積分できず，弱解すら存在しなくなる．そのためにDiPernaとP.-L.Lionsによって導入された再正規化理論を保存則に適用することにより，エントロピー解を再正規化した再正規化エントロピー解の概念を作り，この問題を克服した．この再正規化理論は保存則だけでなく，退化楕円型方程式などで一般に非有界な解を扱うときにとても有益な概念である．一方，2003年にPortilheiroにより保存則における消散解とエントロピー解の同値性が証明された．消散解の概念はEvansにより導入され，その解の形から化学反応などを記述する収縮緩和系において解析しやすい概念である．しかし保存則へこの概念を取り入れる場合，流束関数が大域リプシッツ連続でないと適用できないため，汎用性が狭まる点が難点である．そこで，より応用しやすいよう流束関数を局所リプシッツ連続にまで拡張した場合の消散解，再正規化消散解の概念を小林和夫教授との共同研究で新たに構築した．具体的には，局所リプシッツ連続な流束関数をもち，ルベーク可積分関数の外力と時間初期値をもつ保存則の初期値問題について，消散解の概念を自然に拡張した再正規化消散解の理論を作り，再正規化エントロピー解との同値性を証明した．また，この理論の応用例として，収縮緩和系における再正規化消散解の存在性を証明した．本研究成果の発表については以下のとおりである．

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