Topics in Pure and Applied Mathematics

Course title

V0410800

	kameko masaki
	ishiwata tetsuya
	idogawa tomoyuki
	enomoto yuko
and more...
	ozaki katsuhisa
	zhai guisheng
	suzuki tatsuo
	takeuchi shingo
	oya hironori
	shimizu kenichi
	nakatsu tomonori
	fukuda akiko
	tanaka yukako

Course description

This is a course for the global program at the Department of Mathematical Sciences. Lectures will be delivered in an omnibus form. Each faculty member of the Department of Mathematical Sciences presents research topics in the field of mathematical sciences in English each once. Students are expected to improve their English ability with a focus on mathematical sciences.

Purpose of class

The object of this course is to know widely about research fields of mathematical sciences with lectures by faculty members of the Department of Mathematical Sciences. Moreover, students are expected to improve their English ability with a focus on mathematical sciences.

Goals and objectives

to be able to understand research topics in the field of mathematical sciences
to be able to understand basic English words and phrases in mathematical sciences
to be able to write a technical report according to professors' instruction

Language

English

Class schedule

	Class schedule	HW assignments (Including preparation and review of the class.)	Amount of Time Required
1.	Introduction to this course	Read the syllabus	190minutes
2.	Introduction to Partial Differential Equations (Prof. Enomoto)	Assignment from each lecturer	190minutes
3.	Discrete dynamical systems (Prof. Fukuda)	Assignment from each lecturer	190minutes
4.	Introduction to the morphological image analysis (Prof. Idogawa)	Assignment from each lecturer	190minutes
5.	Mathematical models and their mathematical analysis (Prof. Ishiwata)	Assignment from each lecturer	190minutes
6.	Algebraic geometry and algebraic topology (Prof. Kameko)	Assignment from each lecturer	190minutes
7.	Mathematics for finance (Prof. Nakatsu)	Assignment from each lecturer	190minutes
8.	Introduction to representation theory and its application (Prof. Oya)	Assignment from each lecturer	190minutes
9.	Basic and Applications of Interval Arithmetic (Prof. Ozaki)	Assignment from each lecturer	190minutes
10.	From knot theory to quantum algebra (Prof. Shimizu)	Assignment from each lecturer	190minutes
11.	Introduction to differential geometry and mathematical physics (Prof. Suzuki)	Assignment from each lecturer	190minutes
12.	Generalization of the trigonometric functions (Prof.Takeuchi)	Assignment from each lecturer	190minutes
13.	Mathematics Used in Optimization and Control (Prof. Zhai)	Assignment from each lecturer	190minutes
14.	Review	Assignment from each lecturer	190minutes
Total.	-	-	2660minutes

Relationship between 'Goals and Objectives' and 'Course Outcomes'

	Assignment	Total.
1.	100%	100%
Total.	100%	-

Evaluation method and criteria

Assignment imposed from each lecturer in each class and the final assignment: 100%
If you have at least 11 attendances and if the score is greater than or equal to 60%, you will have a passing grade.

Textbooks and reference materials

None

Prerequisites

Basic mathematical and English skills

Office hours and How to contact professors for questions