14717 items found.
We study Complex Analysis. We understand some properties of complex functions
such as Cauchy's theorem, Cauchy's formula, Residues theorem, etc, which are
completely different form real functions. We don't touch the proofs, but we
understand what theorems imply, and master some calculations.
In this lecture we overview how mathematical science is useful to analyze real problems.The point is, not to memorize formulas and results, to understand the process how to formulate real problem to mathematical problem.
The main objective of this class is to enable students to develop research skills to obtain relevant materials and data effectively for their papers and theses. The students will also learn about basic skills for academic writings.
The students will do some practices during the course and should submit midterm and final assignments.
Learn database and its internal.
This course is specially designed for students who want to learn French but wish to do so in a slower and relaxed pace. The class meets twice a week.
The course is co-taught by two instructors: a native French instructor and Japanese instructor.
This course is specially designed for students who want to learn French but wish to do so in a slower and relaxed pace. The class meets twice a week.
The course is co-taught by two instructors: a native French instructor and Japanese instructor.
This course is specially designed for students who want to learn French but wish to do so in a slower and relaxed pace. The class meets twice a week.
The course is co-taught by two instructors: a native French instructor and Japanese instructor.
The acquisition of communication based foreign language skills, which students can competently practice in their daily life, is the top priority goal of German education at SFC. In this course new topics and grammar will be introduced every week. The learning materials are developed to match the student’s school life, area of study and personal interests while studying at SFC. The steps of the grammar lessons as well as the important subjects are all based on the curriculum at SFC. The students will learn around 10 key sentences as well as 40 to 50 words per week. In one semester they will be freely able to communicate with 100 to 150 key sentences and 700 words. Students who will complete the intensive courses 1 and 2 will be able to acquire all basic German grammar, which will be equivalent to the A2 level of CEFR.("Basic 1" and "basic 2" are equivalent to the "intensive course 1" level.)
The acquisition of communication based foreign language skills, which students can competently practice in their daily life, is the top priority goal of German education at SFC. In this course new topics and grammar will be introduced every week. The learning materials are developed to match the student’s school life, area of study and personal interests while studying at SFC. The steps of the grammar lessons as well as the important subjects are all based on the curriculum at SFC. The students will learn around 10 key sentences as well as 40 to 50 words per week. In one semester they will be freely able to communicate with 100 to 150 key sentences and 700 words. Students who will complete the intensive courses 1 and 2 will be able to acquire all basic German grammar, which will be equivalent to the A2 level of CEFR.("Basic 1" and "basic 2" are equivalent to the "intensive course 1" level.)
The acquisition of communication based foreign language skills, which students can competently practice in their daily life, is the top priority goal of German education at SFC. In this course new topics and grammar will be introduced every week. The learning materials are developed to match the student’s school life, area of study and personal interests while studying at SFC. The steps of the grammar lessons as well as the important subjects are all based on the curriculum at SFC. The students will learn around 10 key sentences as well as 40 to 50 words per week. In one semester they will be freely able to communicate with 100 to 150 key sentences and 700 words. Students who will complete the intensive courses 1 and 2 will be able to acquire all basic German grammar, which will be equivalent to the A2 level of CEFR. ("Basic 1" and "basic 2" are equivalent to the "intensive course 1" level.)
The acquisition of communication based foreign language skills, which students can competently practice in their daily life, is the top priority goal of German education at SFC. In this course new topics and grammar will be introduced every week. The learning materials are developed to match the student’s school life, area of study and personal interests while studying at SFC. The steps of the grammar lessons as well as the important subjects are all based on the curriculum at SFC. The students will learn around 10 key sentences as well as 40 to 50 words per week. In one semester they will be freely able to communicate with 100 to 150 key sentences and 700 words. Students who will complete the intensive courses 1 and 2 will be able to acquire all basic German grammar, which will be equivalent to the A2 level of CEFR.
The acquisition of communication based foreign language skills, which students can competently practice in their daily life, is the top priority goal of German education at SFC. In this course new topics and grammar will be introduced every week. The learning materials are developed to match the student’s school life, area of study and personal interests while studying at SFC. The steps of the grammar lessons as well as the important subjects are all based on the curriculum at SFC. The students will learn around 10 key sentences as well as 40 to 50 words per week. In one semester they will be freely able to communicate with 100 to 150 key sentences and 700 words. Students who will complete the intensive courses 1 and 2 will be able to acquire all basic German grammar, which will be equivalent to the A2 level of CEFR. ("Basic 1" and "basic 2" are equivalent to the "intensive course 1" level.)
A programs can be seen as a mathematical function which calculate output value for a given input. However, it is not a simple mathematical function. It is not a total function, but a partial one. In order to understand the property of programs, it is necessary to introduce topology of complete partial order. In this lecture, we will study lambda calculus, domain theory, category theory and so on which are base for mathematical theory of programs.
In the first half we study set theory and mathematical logic. These are useful of logical thinking. In the latter half we study probability. We overview permutation and combination, which you have learned at high school, and then, we study probability. Our goal is Bayesian Theory. This is new for all. Mathematics in university is different from one in high school. Even if you are no good at calculation and memory, you have a chance to enjoy mathematics in university.
This lecture is an introduction to Shannon's information theory. The essence of information theory is "what is information mathematically?". We will consider a mathematical model of "amount of information", "coding of information" etc and study their basic theory. In transmission and recording, we want to reduce the amount of data. On the other hand, in communication, there is a possibility of transmission error, and coding is required to minimize the transmission error. We will consider the basic idea and method for these problems.
Information theory is a basic theory of expression and transmission of "information". Typical applications include data compression, bit error detection / correction, and encryption. Information theory also plays an important role in machine learning algorithms (for example, cross-entropy can be adopted as an objective function in neural networks).
The goal is to learn the quantitative treatment of "information" that is used in our daily life.
This class discusses how several phenomena could be formulated in mathematical modeling. Each lecture introduces one phenomenon and a mathematical model that describes the phenomenon. This series of lectures firstly addresses modeling with differential equations, and in the later part, mathematical analysis of perceptual phenomena in human psychology are also discussed.
This class discusses how several phenomena could be formulated in mathematical modeling. Each lecture introduces one phenomenon and a mathematical model that describes the phenomenon. This series of lectures firstly addresses modelings with differential equations, and in the later part, mathematical analysis of perceptual phenomena in human psychology are also discussed.
We overview differential and integral calculus learned at high school. Our aim is to generalize these to functions of several variables. For functions with one variable, first we extend the concept of tangent (linear approximation) to the theory of Taylor (polynomial approximation). As an application, we can solve the extreme problem in detail. For functions of several valuables, derivative is called partial derivative. We extend the theory of Taylor and the extreme problem to functions with several variables. Moreover, we consider integral of functions of several variables, which is called multiple integral. By using this we can obtain volume and area of high dimensional objects.
We overview differential and integral calculus learned at high school. Our aim is to generalize these to functions of several variables. For functions with one variable, first we extend the concept of tangent (linear approximation) to the theory of Taylor (polynomial approximation). As an application, we can solve the extreme problem in detail. For functions of several valuables, derivative is called partial derivative. We extend the theory of Taylor and the extreme problem to functions with several variables. Moreover, we consider integral of functions of several variables, which is called multiple integral. By using this we can obtain volume and area of high dimensional objects.
We study matrices and vectors, in particular, how to solve the simultaneous equation, how to calculate the determinant and the inverse matrices. Moreover,
by abstracting these concepts, we study linear spaces and linear mapping.
Then a matrix can be regarded as a linear mapping. Especially, eigenvalues and eigenvectors of the matrix, and the matrix diagonalization characterize the mapping. We often encounter these concepts in other mathematical fields including statistics.
Policy issues at urban management.
This course involves the way to acquire meaningful data from the real world as a tool of problem finding and solving. The data source ranges from the space, e.g. environment monitoring, objects around us, which play critical role cyber physical systems, to human as the stakeholder of a problem. Different data sources require different ways to extract data from them, and the correct way must be used to acquire meaningful data. This course overviews social surveys using questionnaire technique, environment monitoring using state-of-art sensing technologies, and data analysis/presentation skills that are common to all the different projects.
This course aims at giving a wider view to the Japanese Prefectural/Local Government for graduate students. Succeeding two classes are paired, one is for giving a lecture, and other is for reading assignments. Since it is rare to find literatures on the Japanese prefectural/local government written in non-Japanese languages, I will use those written in Japanese. Students who take this course should be prepared to read around 30 pages of readings written in Japanese every other week. You can write a term paper either in English or Japanese. Also, you are expected to write a one-page essay on the reading assignments before 7PM, the prior day of the course, and send me by e-mail or through SOL.
Fieldwork is a way to learn about society and culture. Therefore, its practical meaning as a technique is essential. Still, it is also closely related to how to look at things to define problems for oneself and communication to interpret and express the results of research and analysis. In this lecture, students will learn the basic methods and attitudes of "fieldwork" through courses and practical assignments. Each student (or group) will set a theme and conduct fieldwork throughout the semester. Students are required to go outside the campus, walk around the city, take photos and videos, and first of all, see with their own eyes and feel with their bodies.