Advanced Studies in Mathematical Sciences B

Course title

33031500

Middle-level Diploma Policy (mDP)

Program / Major	mDP	Goals
Mathematical Sciences Course	DP-4・2	キャリアを見据えた高度な専門知識現象の背後にある数理構造やデータのパターンを理論的に解析し、社会や自然科学、工学における複雑な課題に対して数理的視点から解決戦略を提案できる。

Purpose of class

This intensive course, taught by a visiting lecturer from outside the university, introduces students to various areas of mathematics and provides opportunities to study topics beyond the fields of expertise of the full-time faculty. Through this course, we aim to cultivate mathematical engineers with a broad knowledge of mathematics.

The specific objectives for the 2026 academic year are as follows:

The primary aim of this course is to introduce the fundamentals of numerical computation. Students will also learn to understand the differences between real-number arithmetic and floating-point arithmetic.

Course description

This intensive course, taught by a visiting lecturer from outside the university, covers various areas of applied mathematics. Special Topics in Mathematical Sciences B offers intensive instruction on classical topics, cutting-edge topics, or both, in applied mathematics and mathematical information science. The specific subject matter varies depending on the instructor.

In the 2026 academic year, the course will be taught by Takeshi Terao of Waseda University.

The course content is as follows:

This course covers numerical methods for solving systems of linear equations, together with practical exercises. Students will learn about the computational costs and numerical errors involved in computer-based numerical computation.

Goals and objectives

Students will be able to understand the difference between real-number arithmetic and floating-point arithmetic.
Students will be able to solve systems of linear equations using a computer.
Students will be able to understand the advantages and disadvantages of floating-point arithmetic in terms of numerical accuracy.

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

	Exam	Total.
1.	20%	20%
2.	40%	40%
3.	40%	40%
Total.	100%	-

Evaluation method and criteria

The course will be assessed based on a report graded on a 100-point scale, and a score of 60 or higher is required to pass.

Students who earn credit for the course will understand how computers perform arithmetic operations and be able to write programs.

Language

English

Class schedule

	Class schedule	HW assignments (Including preparation and review of the class.)	Amount of Time Required
1.	Review of Linear Algebra	Review of basics topics in complex analysis	1330minutes
2.	Numerical Methods for Solving Systems of Linear Equations	N/A	0minutes
3.	Fundamentals of Roundoff Error Analysis	N/A	0minutes
4.	Roundoff Error Analysis of Direct Methods	N/A	0minutes
5.	Exercises (Numerical Computation and Roundoff Error)	N/A	0minutes
6.	Exercises (Mixed-Precision Computation)	N/A	0minutes
7.	Report Submission and Review	N/A	0minutes
8.	N/A	N/A	0minutes
9.	N/A	N/A	0minutes
10.	N/A	N/A	0minutes
11.	N/A	N/A	0minutes
12.	N/A	N/A	0minutes
13.	N/A	N/A	0minutes
14.	N/A	N/A	0minutes
Total.	-	-	1330minutes

Feedback on exams, assignments, etc.

ways of feedback	specific contents about "Other"
Feedback in the class

Textbooks and reference materials

参考書：大石進一他、精度保証付き数値計算の基礎、コロナ社、2018

Prerequisites

Office hours and How to contact professors for questions

After class, take questions

Regionally-oriented

Non-regionally-oriented course

Development of social and professional independence

Course that cultivates an ability for utilizing knowledge

Active-learning course

N/A

Course by professor with work experience

Work experience	Work experience and relevance to the course content if applicable
N/A	該当しない

Education related SDGs:the Sustainable Development Goals

4.QUALITY EDUCATION

Last modified : Sat Aug 29 04:02:16 JST 2026