In this course, we study the differentiation and integration of a function of one-variable (which is also called one-variable function or single-variable function). Intuitively, differential means the slope of the tangent line of a function at a given point, and integral measures the area bounded by the graph of the function and x-axis over a given interval. Both concepts need the concept “limit”, so the first part of this course will contain the definition of a function, limit of a sequence, continuous function and related topics. In the second part of this course, we study the differential of a function, the definition, calculation techniques, properties and applications. In the third part, we define the definite and indefinite integral of a function, study the fundamental theorem of calculus: the connection between differentiation and integration, and introduce the calculation techniques. Power series will also be introduced. In the end, we discuss how to solve some simple differential equations.

In this course, we study the differentiation and integration of a function of one-variable (which is also called one-variable function or single-variable function). Intuitively, differential means the slope of the tangent line of a function at a given point, and integral measures the area bounded by the graph of the function and x-axis over a given interval. Both concepts need the concept “limit”, so the first part of this course will contain the definition of a function, limit of a sequence, continuous function and related topics. In the second part of this course, we study the differential of a function, the definition, calculation techniques, properties and applications. In the third part, we define the definite and indefinite integral of a function, study the fundamental theorem of calculus: the connection between differentiation and integration, and introduce the calculation techniques. Power series will also be introduced. In the end, we discuss how to solve some simple differential equations.

多階層でのオーミクス情報を解読する手法を概説する講義である。本講義では、各解析手法の理論的背景やその応用例について最新の知見を交えて詳説する。また､これらの解析手法の適用限界についても議論し､いかにして最新の次世代シークエンス解析技術がゲノム機能情報として取得され解析が行われているのか、その実践例について個別に詳解する。 This lecture provides an overview of methodologies for decoding multiomics information. The course offers detailed explanations of the theoretical foundations and practical applications of various analytical methods, incorporating the latest research findings. Furthermore, we will discuss the limitations of these techniques and provide in-depth case studies on how state-of-the-art Next-Generation Sequencing (NGS) technologies are utilized to acquire and analyze functional genomic data.

This course aims at equipping the students with the knowledge of mathematics that is needed to study vast areas of subjects related to international studies. Specifically, the course focuses on linear or matrix algebra and on differential calculus, including optimisation. The target audience of the course is students who lack or have been away from mathematics since the end of secondary education; thus, the course is designed to be accessible to such students. Yet, the course should be a useful refresher for students with stronger mathematical backgrounds, too. After completion, students are expected to be able to: - Conduct basic operations of matrix algebra - Explain the concept of linear independence - Explain different ways to solve linear equations - Describe the concepts of determinant and eigenvalues - Explain elementary functions and their properties - Explain the concepts of derivatives and integrations - Conduct basic derivatives and integrations

The topic of this course is the calculus of functions of two variables or more. Most phenomena in the real world depend on several independent variables. For instance many concepts in physics are modeled by partial differential equations involving functions of several variables. In the first half of this one-year course, you studied single-variable calculus. In this second half, you will learn how to extend these concepts to functions of several variables.

Objectives　 (A) To develop an interest in Asia, (B) to understand both the potential and limitations of bio-resource sciences, (C) to become an informed and critical thinker in this field. (A)アジアを知る、(B)生物資源学の可能性と限界を理解する、(C)本分野で賢明な判断力を養う Learning Outcomes By the end of this course, students will be able to: (1) Analyze bioresources from multiple hierarchical levels, ranging from genes and cells to organisms, ecosystems, and regional systems. (2) Explain the scientific, ecological, and socio-economic roles of bioresources in Asian societies and evaluate their sustainable utilization. (3) Apply interdisciplinary approaches to reinterpret their own research topics from the perspective of bioresource sciences. (4) Evaluate emerging technologies related to bioresources by considering both their potential benefits and associated risks. (5) Communicate scientific ideas and research outcomes effectively in written and oral forms for international academic audiences. (6) Propose scientifically sound and socially responsible strategies for the sustainable development and utilization of bioresources in Asia. 学修到達目標（Learning Outcomes） 本講義を履修した学生は、以下の能力を身につけることができる。 (1) 遺伝子・細胞から個体、生態系、地域システムに至るまで、生物資源を多階層的に分析できる。 (2) アジア社会における生物資源の科学的・生態学的・社会経済的役割を説明し、持続的利用の観点から評価できる。 (3) 生物資源学の視点から自身の研究テーマを再解釈し、学際的に応用できる。 (4) 生物資源に関する新興技術について、その利点とリスクを科学的に評価できる。 (5) 国際的な学術場面において、研究内容を論理的に発信できる。 (6) アジアにおける生物資源の持続的開発・利用に向けた戦略を提案できる。

Taking the unfinished final project of cultural theorist Mark Fisher as its starting point, this course will explore the complex relationship between capitalism and desire. We will spend the first half of the semester analyzing the kinds of desire that capitalism permits—with careful attention to the difference between the “permitted” and the “possible”—before turning to what a desire for something of a different order—a postcapitalist desire—might look like. By the end of the course students can expect to be familiar with a wide range of recent critical thought, and to be able to articulate the relation of abstract concepts to contemporary everyday life.

地球科学において時系列データとして記録される多種多様の観測データの解析の基本的な解析手法であるFourier変換，特に離散フーリエ変換を，その数学的基礎にまで立ち返って講義する．さらに，スペクトルと相関関数，線形システムの応答，スペクトルの推定誤差，簡単な数値フィルター等，時系列データ解析の基本となるいくつかの項目について講義する．地球物理学における時系列データ解析の応用についても紹介する． For Earth Science, Fourier Transform (especially Discrete Fourier Transform; DFT) is a fundamental method to analyze various kinds of observed data of time series. We will give explanations about such method from its basics. Some fundamental topics on time-series analysis, such as frequency spectrum and correlation function, response of linear systems, errors in spectrum estimation, and numerical filters, will be discussed. Application of time series analysis in Geophysics is also introduced.

This is an introductory course on mathematical methods for public policy analysis, designed for GraSPP students without a strong background in mathematics. Students from non-economics, non-engineering, or non-science majors are especially welcomed. The course helps students develop a solid mathematical foundation, enabling them to apply essential mathematical techniques to public policy issues. It is structured into four parts: 1. differential calculus, 2. linear algebra, 3. multivariate calculus and constrained static optimization, 4. dynamic optimization and linear dynamic systems.