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Codesort Course Titlesort Lecturersort Semestersort Week/Periodsort
31026
CAS-PF1712L3
数学Ⅰ②(PEAK)
Mathematics I ② (PEAK)
鮑 園園
BAO Yuanyuan
S1S2 木曜3限
Thu 3rd
Multivariable calculus

This course covers the differentiation and integration of a function of several variables. It mainly consists of three parts: partial derivatives, multiple integrals and vector calculus. Improper integral for single variable function, implicit function theorem will also be taught. Some applications of these mathematical concepts will be introduced. This course is a continuation of the single-variable Calculus that I taught in Autumn.

単位 Credit:2
教室 Room: 駒場5号館 512教室 Komaba Bldg.5 Room 512
講義使用言語 Language:英語 English
31027
CAS-PG1712L3
数学Ⅰ②(PEAK)
Mathematics I ② (PEAK)
鮑 園園
BAO Yuanyuan
S1S2 木曜3限
Thu 3rd
Multivariable calculus

This course covers the differentiation and integration of a function of several variables. It mainly consists of three parts: partial derivatives, multiple integrals and vector calculus. Improper integral for single variable function, implicit function theorem will also be taught. Some applications of these mathematical concepts will be introduced. This course is a continuation of the single-variable Calculus that I taught in Autumn.

単位 Credit:2
教室 Room: 駒場5号館 512教室 Komaba Bldg.5 Room 512
講義使用言語 Language:英語 English
31025
CAS-TC1200S1
全学自由研究ゼミナール(PEAK)(数学I②)(Mathematics I②)
Specialized Seminar
鮑 園園
BAO Yuanyuan
S1S2 木曜3限
Thu 3rd
Multivariable calculus

This course covers the differentiation and integration of a function of several variables. It mainly consists of three parts: partial derivatives, multiple integrals and vector calculus. Improper integral for single variable function, implicit function theorem will also be taught. Some applications of these mathematical concepts will be introduced. This course is a continuation of the single-variable Calculus that I taught in Autumn.

単位 Credit:2
教室 Room: 駒場5号館 512教室 Komaba Bldg.5 Room 512
講義使用言語 Language:英語 English
35616-0003
GSC-EP5402L2
地球物理数学
Mathematical Methods in Geophysics
篠原 雅尚
SHINOHARA,Masanao
S1S2 金曜2限
Fri 2nd
地球物理数学 Mathematical Methods in Geophysics

【授業内容】 学部で数理的手法を学ぶ機会が少なかった人を対象として、地球科学の諸現象・諸過程を記述する数学を理解するうえで必要な基礎的項目について解説する。 【授業細目】 1.ベクトルと行列 2.常微分方程式 3.ベクトルの微分とベクトル微分演算子 4.線積分と面積分 5.フーリエ級数とフーリエ積分 6.偏微分方程式 【Objective】 Fundamental mathematics needed for descriptions of various phenomena and processes in earth science is explained. This lecture is intended for graduate students who had few chances to take lectures for geophysical mathematics in undergraduate days. 【Contents】 1. Vector and matrix 2. Ordinary differential equation 3. Differential of vector and differential operator 4. Line integral and surface integral 5. Fourier series and Fourier integral 6. Partial differential equation

単位 Credit:2
他学部 Other Faculty:可 YES
教室 Room: 地震研究所 講義室
講義使用言語 Language:日本語/英語 Japanese/English
0702105-01
FEC-ET4601L1
数理統計Ⅰ
Mathematical Statistics I
久保川 達也
Tatsuya Kubokawa
S1 月曜1限 木曜1限
Mon 1st Thu 1st
数理統計I(Mathematical StatisticsI)

現代では数理統計学は経済・金融・経営・経済史などの社会科学の諸分野を含め、多くの諸科学における統計的分析を行う際に必要不可欠である。また製造業、銀行業・証券業・保険業などの実社会の分野においても必要性が高まっている。この講義では数理統計学の基礎を学ぶ。 (This course is an intermediate course on mathematical statistics for students who are going to study Statistics, Economics, Finance and Management Sciences. We shall discuss basic theory of probability and theory of statistical inferences. Basic mathematics in Calculus and Linear Algebra at university level are assumed.)

単位 Credit:2
他学部 Other Faculty:可 YES
教室 Room: 経済学研究科棟 第2教室
講義使用言語 Language:日本語 Japanese
5130250
GPP-MP6Z30L3
Mathematics for Public Policy
Mathematics for Public Policy
柿中 真
KAKINAKA Makoto
A1A2 土曜3限 土曜4限
Sat 3rd Sat 4th

This course introduces fundamental mathematical tools that are useful in analyzing various public policies in a scientific way. By taking this course, you will be able to systematically and intuitively apply mathematical methods to economic and management issues and utilize them for your research on public policy issues. The focus of this course is on (i) fundamental elements and (ii) applications to real world issues. The fundamental elements include functions, sequence and series, differentiation, unconstrained and constrained optimization, integration, and matrix algebra. We also cover simple versions of differential and difference equations to understand the basic concept of dynamic systems. It is important for you to realize in advance that this course is a building block for any further study of public policy.

単位 Credit:1
教室 Room: 国際学術総合研究棟 講義室B International Academic Research Bldg. Lecture Hall B
講義使用言語 Language:英語 English
0702105
数理統計
Mathematical Statistics
久保川 達也
Tatsuya Kubokawa
S1S2 月曜1限 木曜1限
Mon 1st Thu 1st
数理統計(Mathematical Statistics)

現代では数理統計学は経済・金融・経営・経済史などの社会科学の諸分野を含め、多くの諸科学における統計的分析を行う際に必要不可欠である。また製造業、銀行業・証券業・保険業などの実社会の分野においても必要性が高まっている。この講義では数理統計学の基礎を学ぶ。 (This course is an intermediate course on mathematical statistics for students who are going to study Statistics, Economics, Finance and Management Sciences. We shall discuss basic theory of probability and theory of statistical inferences. Basic mathematics in Calculus and Linear Algebra at university level are assumed.)

単位 Credit:4
講義使用言語 Language:日本語 Japanese
31D360-0200A
Environmental Measurement and Evaluation VI
Environmental Measurement and Evaluation VI
前田 章
MAEDA Akira
A1A2 未定
To Be Arranged 
Mathematical optimization in Operations Research

Operations Research (O.R.) is the application of scientific and mathematical methods to the study and analysis of problems involving complex systems (according to The Institute for Operations Research and the Management Sciences). Among many mathematical methods and tools in O.R., the most fundamental is the concept of optimization. It is to search for the best choice among possible alternatives under certain conditions and constraints. In the mathematical language, it is to maximize or minimize a given objective function by controlling decision variables under the set of constraints. Optimization theory is also a part of applied mathematics, and is widely employed in academic disciplines that deal with mathematical modeling of human decision making. In particular, it plays an essential role in economics for its descriptions of economic decision making and valuation. In this lecture, students will learn the theories of mathematical optimization as methods in O.R. The lecture starts with providing an overview of O.R. with an emphasis on optimization methods. It moves on to the theory of static optimization. The third part of the lecture discusses the theory of dynamic optimization.

単位 Credit:2
他学部 Other Faculty:可 YES
教室 Room: 未定 To Be Arranged
講義使用言語 Language:英語 English
31M360-0200A
Environmental Measurement and Evaluation VI
Environmental Measurement and Evaluation VI
前田 章
MAEDA Akira
A1A2 未定
To Be Arranged 
Mathematical optimization in Operations Research

Operations Research (O.R.) is the application of scientific and mathematical methods to the study and analysis of problems involving complex systems (according to The Institute for Operations Research and the Management Sciences). Among many mathematical methods and tools in O.R., the most fundamental is the concept of optimization. It is to search for the best choice among possible alternatives under certain conditions and constraints. In the mathematical language, it is to maximize or minimize a given objective function by controlling decision variables under the set of constraints. Optimization theory is also a part of applied mathematics, and is widely employed in academic disciplines that deal with mathematical modeling of human decision making. In particular, it plays an essential role in economics for its descriptions of economic decision making and valuation. In this lecture, students will learn the theories of mathematical optimization as methods in O.R. The lecture starts with providing an overview of O.R. with an emphasis on optimization methods. It moves on to the theory of static optimization. The third part of the lecture discusses the theory of dynamic optimization.

単位 Credit:2
他学部 Other Faculty:可 YES
教室 Room: 未定 To Be Arranged
講義使用言語 Language:英語 English
08D1426
FAS-DA4F26L3
最適化・意思決定論
Operations Research
前田 章
MAEDA Akira
A1A2 未定
To Be Arranged 
Mathematical optimization

Operations Research (O.R.) is the application of scientific and mathematical methods to the study and analysis of problems involving complex systems (according to The Institute for Operations Research and the Management Sciences). Among many mathematical methods and tools in O.R., the most fundamental is the concept of optimization. It is to search for the best choice among possible alternatives under certain conditions and constraints. In the mathematical language, it is to maximize or minimize a given objective function by controlling decision variables under the set of constraints. Optimization theory is also a part of applied mathematics, and is widely employed in academic disciplines that deal with mathematical modeling of human decision making. In particular, it plays an essential role in economics for its descriptions of economic decision making and valuation. In this lecture, students will learn the theories of mathematical optimization as methods in O.R. The lecture starts with providing an overview of O.R. with an emphasis on optimization methods. It moves on to the theory of static optimization. The third part of the lecture discusses the theory of dynamic optimization.

単位 Credit:2
他学部 Other Faculty:可 YES
教室 Room: 未定 To Be Arranged
講義使用言語 Language:英語 English

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