検索結果 - 東京大学授業カタログ

全学自由研究ゼミナール(PEAK)(MathematicsI①)(Single-variable calculus)

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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.

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50819

CAS-TC1200S1

全学自由研究ゼミナール(PEAK)(MathematicsI①)(Single-variable calculus)

長谷川　立

A1 A2

木曜3限

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全学自由研究ゼミナール(PEAK)(MathematicsI②)(Multi-variable calculus)

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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.

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30928

CAS-TC1200S1

全学自由研究ゼミナール(PEAK)(MathematicsI②)(Multi-variable calculus)

長谷川　立

S1 S2

木曜3限

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数学Ⅰ①(PEAK)

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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.

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50821

CAS-PF1711L3

数学Ⅰ①(PEAK)

長谷川　立

A1 A2

木曜3限

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数学(PEAK)

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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.

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50820

CAS-PF1550L3

数学(PEAK)

長谷川　立

A1 A2

木曜3限

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国際協力学のための基礎数学

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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

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47191-05

GFS-IS6A06L3

国際協力学のための基礎数学

中田　啓之

S1

火曜4限、水曜4限

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数学Ⅰ②(PEAK)

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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.

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30929

CAS-PF1712L3

数学Ⅰ②(PEAK)

長谷川　立

S1 S2

木曜3限

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30930

CAS-PF1712L3

数学Ⅰ②(PEAK)

長谷川　立

S1 S2

木曜3限

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生物圏機能論

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生物多様性保全は我が国と世界の多くの国々で共通に推進されている。しかし，生物多様性を保全すべき理論的根拠は必ずしも市民に共有されてはいない。本講義では「生物多様性とは一体何か？その意義とは何か？」について，生態学上の歴史的な議論や近年の研究成果を紐解きながら，話し合って理解を深めていく。 Lectures on the biodiversity functions and multispecies coexistence. Participants will learn and discuss the theoretical basis of simple but difficult questions --- "what the biodiversity is ?" "why biodiversity matters?"

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47151-13

GFS-NE6L13L1

生物圏機能論

鈴木　牧

A1 A2

集中

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Bioactive Molecules: Structures, Functions and Biosyntheses

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The purpose of this lecture is to explain the basics and research on Bioactive Molecules (both small and large molecules) in a "simple" and "easy-to-understand" manner for international students.

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3902125

Bioactive Molecules: Structures, Functions and Biosyntheses

永田　宏次

S1

水曜3限

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Liberal Arts for Advanced Students II

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"War is hell," said General William Tecumseh Sherman. He knew exactly what he meant. After all, he was the man who led the “March to the Sea" during the American Civil War, mercilessly burning and destroying every Southern town he came across. The 20th century, sometimes called the "century of war," made his words far more prophetic than he could have ever imagined. At least 108 million people have in died in wars during the 20th century. This is a staggering number, in comparison to those who died from all wars through the entirety of preceding human history, between 150 million and one billion people. And even now, more than 20 years into the 21st century, wars show no sign of ceasing. Why have modernization and science, which supposedly contributed to human progress, not yet abolished this barbaric practice of "war"? In 1947, three years after the term "genocide" was coined to describe the systematic destruction of particular race or ethnic group, comedian Charlie Chaplin remarked in his film Monsieur Verdoux: "One murder makes a villain; millions, a hero. Numbers sanctify, my good fellow.” What history and power make this absurdity possible? And what should be done to resolve it? In this class, we will explore the answers to these questions through various documentaries, texts, and vigorous discussion.

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08X0005

FAS-XA4A04L3

Liberal Arts for Advanced Students II

YANG Manuel

S1 S2

火曜5限

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Liberal Arts for Advanced Students III

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This course explores key concepts and conceptions in political philosophy that are relevant to contemporary societies. Our societies are often not well-ordered, allowing even the unreasonable to hold political power, even in so-called "liberal democratic" societies. Given this reality, it is crucial to examine the existence of political obligation - whether there is a duty to obey laws and institutions - as well as the legitimacy of public and social policies and the role of justice and freedom. This course addresses these fundamental questions through a careful study of political philosophy.

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08X0006

FAS-XA4A06L3

Liberal Arts for Advanced Students III

井上　彰

A1 A2

水曜3限

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