Course title
幾何学   [Geometry]
Course category	technology speciality courses,ets.	Requirement		Credit	2
Department		Year	2～4	Semester	Spring
Course type	Spring	Course code	022603
Instructor(s)
勝島 義史   [KATSUSHIMA Yoshifumi]
Facility affiliation	Graduate School of Engineering	Office		Email address

Course description

In this class, we study vector analysis. The vector analysis is, simply speaking, a study of translations between line integrals and surface integrals, or surface integrals and volume integrals.

Expected Learning

1. Understand the definition of line, surface, and volume integrals. 2. Calculate the divergence, gradient, and rotation. 3. Calculate integrals by using the theorems/fomulas of Gauss, Green, and Stokes.

Course schedule

1. Introduction: Roller Coasters and the Stokes formula, the work of gravity. 2. Derivatives of multivariable functions, vector fields, divergence, gradient, and rotation. 3. Line integrals and double integrals, the Green’s formula. 4. Surface integrals and the Stokes’ formula. 5. Gauss’ formula and Green’s theorem.

Prerequisites

We need a fundamental knowledge of Calculus.

Required Text(s) and Materials

We don’t use any textbooks.

References

SHIMIZU Yuji, “Kiso-to-Ouyou Bekutoru-Kaiseki [Shinteiban]” Saiensu-sha (ISBN 978-4-7819-1378-0) FUKAYA Kenji, “Denjiba-to-Bekutoru-Kaiseki” Iwanami Shoten (ISBN 9784000068833)

Assessment/Grading

A report and the term examination.

Message from instructor(s)

Please tell me my mistakes or what you can’t understand in the class, as soon as possible.

Course keywords

vector analysis, geometry

Office hours

I have no office, so please talk to me when you want a help in the classroom. I will tell you when/where we can meet.

Remarks 1

The plans can be changed if it’s necessary.

Remarks 2

Related URL

Lecture Language

Language Subject

Last update

3/27/2018 2:30:40 PM