早稲田大学 基幹理工学部

応用数理学科

Department of Applied Mathematics

School of Fundamental Science and Engineering, WASEDA University

News & Information [Archive].

  • June 10, 2025: Professor Yasutaka Shimizu received the 19th Japan Statistical Society Research Achievement Award! [Link].
  • April 1, 2025: Professor Akihiko Hirata and Professor Jun Muramatsu joined our department.

Describe, Discover, Develop
— Applied Mathematics Opens Doors to the Future

As AI and data science revolutionize society, the power of mathematics lies at the root of this transformation. What is required in this era is not only mathematical knowledge or IT skills, but also the ability to apply mathematics to solve real-world problems. The Department of Applied Mathematics nurtures human resources who can connect abstract theories with concrete real-world issues through the three pillars of phenomenal mathematics, statistical mathematics, and information mathematics. Graduates are active in a wide range of fields, including IT companies, financial institutions, R&D departments of manufacturers, educational and research institutions, government offices, and consulting firms. Connect your curiosity to the future in a place where a deep understanding of mathematics and creative ideas meet.

Revealing Patterns

Mathematics reveals the hidden structures in natural phenomena, social dynamics, and data processing—making the invisible visible. This sense of discovery drives applied mathematics. Building on foundational education with the Mathematics Department, we explore cutting-edge mathematical science, statistics, and informatics to decode the world through mathematics.

Connecting Fields

Interdisciplinary research defines our department. We bridge mathematics with diverse fields including informatics, statistics, engineering, economics, medicine, biology, chemistry, and physics. Through these connections, we contribute to science and industry while pioneering new mathematical frontiers.

Creating Solutions

When abstract theory becomes transformative technology, the joy is unmatched. We develop climate prediction models, AI algorithms, financial risk assessment methods, and more—using mathematics to solve real-world challenges and create breakthrough technologies.

curriculum

Course Outline

Our specialized education in Applied Mathematics begins in the second year, following completion of the School of Fundamental Science and Engineering's common curriculum in the first year. In addition to foundational mathematics courses offered in collaboration with the Mathematics Department, we provide unique courses in Computer Science & Informatics, Probability & Statistics, and Physics & Chemistry. Students develop practical skills through applied mathematics laboratories, exercises, and seminars. In the fourth year, students join research laboratories to tackle cutting-edge applied mathematics research. Advanced graduate-level courses are also available for fourth-year students. A wide variety of elective courses allows students to tailor their studies to their individual interests.

A Featured Course in Probability and Statistics

In Professor Hiroshi Toyoizumi's "Mathematics of Business and Probability", students learn how to analyze and evaluate various business models using applied probability theory and queueing theory from operations research. Students first build a solid foundation in probability theory and stochastic processes essential for modeling and analyzing complex phenomena and systems, then explore applications in real-world contexts, such as inventory management, service industries, communication networks, computers, and production systems. The course combines lectures with student-participatory activities such as simulations to evaluate the efficiency of different order processing methods in store operations, allowing students to experience the mathematical insights behind business from both theoretical and practical perspectives.

A Featured Course in Mathematical Informatics

Associate Professor Momoko Hayamizu's "Introduction to Discrete Mathematics" provides foundational knowledge in graph theory and graph algorithms essential for computer science. Graphs and networks appear everywhere in daily life—from subway maps to social media connections. Students learn graph theory theorems and algorithms to develop problem-solving skills for real-world challenges. Topics include shortest paths for maze solving and transit routing, optimal design of road and communication networks, efficient delivery route planning, marriage matching, job assignment, tournament scheduling, and map coloring. All lecture videos are available on YouTube, making this course popular among students from all departments.

A Featured Course in Computer Science

Professor Takeshi Ogita's "Numerical Computation" teaches the theory and methods for efficiently solving mathematical problems such as equations using computers. The science, technology, and social systems around us are supported by various computer calculations and processing, with numerical computation involved in every aspect from weather forecasting and image processing to traffic simulation and robot control. However, computer calculations inevitably involve small errors, and these tiny errors can sometimes lead to serious mistakes. This course starts with the fundamentals of computer-based calculations and covers numerical computation methods (algorithms) for various equations and integrals, as well as error evaluation techniques. Students also engage in programming exercises using C language and MATLAB, connecting theory with practice to develop reliable numerical computation skills.

List of Professors
Faculty

In the Department of Applied Mathematics, faculty members in Mathematical Modeling, Statistical Science, and Mathematical Informatics conduct cutting-edge research and provide world-class education. These three fields overlap and interconnect to form the rich world of applied mathematics.

Mathematics of Phenomena

We take mathematical approaches to understand diverse real-world phenomena including nonlinear systems, solitons, mathematical physics, applied geometry, materials science, phylogenetic analysis, biological phenomena, natural phenomena, and social phenomena.

Kimihisa ItoMathematical Materials Engineering
Toru OhmotoSingularity Theory, Topology
Kousuke KutoNonlinear Partial Differential Equations
Daisuke TakahashiDiscrete Dynamical Systems
Akihiko HirataMathematical Materials Engineering, Amorphous Structure
Kenichi MarunoMathematical Physics

Statistical Mathematics

We research and develop mathematical methods for data analysis and decision-making. The scope include mathematical statistics, probability theory, time series analysis, financial and actuarial mathematics, biostatistics, data science, and machine learning.

Yasutaka ShimizuStochastic Processes and Statistical Analysis
Hiroshi ToyoizumiApplied Probability, Operations Research
Momoko HayamizuDiscrete Mathematics, Algorithm Theory, Computational Biology
Yan LiuMathematical Statistics, Computational Statistics, Time Series Analysis
　　
　　

Information Mathematics

We explore mathematical approaches to information and computation, including information theory, coding theory, cryptography, verified numerical computation, optimization, graph theory, and algorithm theory.

Takeshi OgitaNumerical Analysis
Masahide KashiwagiNumerical Analysis
Toshiyasu MatsushimaInformation Theory and its Applications
Tsuyoshi MiezakiAlgebraic Combinatorics, Coding theory, Discrete Mathematics
Jun MuramatsuInformation Theory and its Applications
　　　　　
View Faculty Profiles
Career Paths after Graduation
Future Career Options

Main Career Destinations

Click to view representative employers

  • Panasonic, Hitachi, Fujitsu, NEC, Sony, Toshiba, Mitsubishi Electric, IBM Japan, Sharp, Canon, Fuji Xerox, Keyence, etc.
  • NTT East, NTT Docomo, NTT Communications, NTT Data, KDDI, SoftBank Mobile, etc.
  • Nippon Steel & Sumitomo Metal Solutions, Japan Electronic Computer, Nihon Unisys, MUFG Information Technology, NTT Software, NEC Solutions, ITOCHU Techno-Solutions, Toshiba Information Systems, etc.
  • Waseda University, University of Tokyo, Tokyo Institute of Technology, Niigata University, Kyoto University, Osaka University, Kyushu University, Keio University, National Institute for Materials Science, etc.
  • Waseda University Senior High School, Waseda Junior & Senior High School, Sacred Heart Schools, Shirayuri Gakuen, Nihon University Daiichi Junior & Senior High School, Keisen Girls' Junior & Senior High School
  • Nippon Steel & Sumitomo Metal, JFE Steel, Kobe Steel, Mitsui Mining & Smelting, Furukawa Electric, Hitachi Metals, Hitachi Cable, etc.
  • Mitsubishi Heavy Industries, IHI, Komatsu, Isuzu Motors, Honda, Bridgestone, Kawasaki Heavy Industries, Murata Machinery, Toyota Motor, etc.
  • Bank of Japan, MUFG Bank, Mizuho Financial Group, Sumitomo Mitsui Financial Group, Resona Bank, Bank of Yokohama, Japan Finance Corporation, BNP Paribas, JPMorgan Chase, etc.
  • Nomura Securities, Daiwa Securities, SMBC Nikko Securities, Sparx Asset Management, Mitsubishi UFJ Morgan Stanley Securities, etc.
  • Nippon Life, Dai-ichi Life, Sumitomo Life, Mitsui Life, Meiji Yasuda Life, Fukoku Life, Tokio Marine & Nichido, Sompo Japan, JA Kyosai, General Insurance Rating Organization of Japan, etc.
  • JR East, JR Central, JR West, Tokyu Corporation, Japan Airlines, etc.
  • TEPCO, Tokyo Gas, Okinawa Electric Power, etc.
  • Asahi Shimbun, Yomiuri Shimbun, Nikkei, Dentsu, Saiensu-sha, Dai Nippon Printing, Toppan, etc.
  • Mitsubishi Corporation, Mitsui & Co., Marubeni, Sumitomo Corporation, ITOCHU, etc.
  • Nomura Research Institute, Japan Research Institute, Daiwa Institute of Research, Fuji Research Institute, etc.
  • Ministry of Internal Affairs and Communications, Japan Patent Office, Tokyo Metropolitan Government, Chiba Prefectural Government, etc.
  • Recruit, ASICS, Chugai Pharmaceutical, Suntory, Konami, TOTO, Hitachi Transport System, etc.

Career Paths after Bachelor's Degree

Many students (66.1%) pursue graduate studies to deepen their expertise in applied mathematics. Our department also has strong industry connections, with graduates excelling in IT companies (8.1%), finance (11.3%), trading companies, and think tanks. Career support includes departmental recommendation quotas.

Career Paths after Master's Degree

Master's graduates from our Applied Mathematics program pursue diverse careers leveraging their strengths in mathematics, informatics, and statistics, such as data scientists, systems engineers, software developers, IT consultants, quantitative analysts, actuaries, and more. Students can also advance to doctoral programs to further develop their expertise in mathematical sciences.