16071 items found.
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.
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.
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.
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.
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.
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.
本授業は自然の現象を数式の言葉で表現し、理解する手法である数理モデルについて解説する。各回の授業では、一つの現象を紹介し、その現象を数理モデルを立てて理解する過程を見せる。微分方程式を利用した数理モデルについて主に解説するが、後半では、知覚心理学の現象を理解するための道具立てについても解説する。
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.
In this course, you will learn the basic knowledge of the system and law related police and criminal investigation, and other related topics regarding public safety in Japan.