Course title
幾何学   [Geometry]
Course category technology speciality courses  Requirement   Credit 2 
Department   Year 14  Semester 3rd 
Course type 3rd  Course code 021603
Instructor(s)
有馬 卓司   [ARIMA Takuji]
Facility affiliation Faculty of Engineering Office afjgxte/L1151  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
2/23/2020 6:09:53 PM