Course title
ベクトル解析   [Vector Analysis]
Course category technology speciality courses  Requirement   Credit 2 
Department   Year 24  Semester 1st 
Course type 1st  Course code 022353
Instructor(s)
前田 博信   [MAEDA Hironobu]
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
Course schedule
1. Review of linear algebra
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
Required Text(s) and Materials
References
Assessment/Grading
Terminal Examination (Klausur)
Message from instructor(s)
Course keywords
cross product, line element, unit normal vector, Gauss' divergence theorem, Stokes' theorem
Office hours
Tue. 10:30 to 11:30
Remarks 1
Remarks 2
Related URL
Lecture Language
Japanese
Language Subject
Last update
1/29/2021 4:02:16 PM