Course title
幾何学   [Geometry]
Course category	technology speciality courses	Requirement		Credit	2
Department		Year	1～4	Semester	3rd
Course type	3rd	Course code	021603
Instructor(s)
有馬 卓司   [ARIMA Takuji]
Facility affiliation	Faculty of Engineering	Office		Email address

Course description

This is an introductory lecture to vector analysis, which is an important tool to describe and analyze various phisical phenomena appearing in engineering.

Expected Learning

1) capable to compute derivatives and integrals of vector-valued functions 2) to understand basic notions on curves, surfaces and vector fields, and capable to apply them to concrete computations 3) to understand line and surface integrals and capable to apply theorems on integrals See the Curriculum maps.

Course schedule

1. Review of linear algenra 2. Vector-valued functions and thier differentials 3. Description of dinamical phenomena via vector-valued functions 4. Basic theory of space curves 5. Frenet-Serret's formula 6. Basic theory of surfaces 7. Application to computing the area of surfaces 8. Exercises or midterm exam 9. Scalar fields and directional derivatives 10. Gradient and nabla operators 11. Divergence and rotation operators 12. Formulae involving gradient, divergence and rotation 13. Line integrals 14. Surface integrals 15. Gauss' divergence theorem

Prerequisites

Linear algenra and calculus． Students are expected to have the standard amount of time to prepare for and review the lecture as specified by the University

Required Text(s) and Materials

References

Assessment/Grading

Message from instructor(s)

Course keywords

Gauss' divergence theorem, Stokes' theorem

Office hours

Break time just after the lecture.

Remarks 1

Remarks 2

Related URL

Lecture Language

Japanese

Language Subject

Last update

3/14/2019 1:27:38 PM